{
  "profile": "wrs-published-research-view-1",
  "edition": "ratings-e039106f30dec177",
  "content_trust": "UNTRUSTED_SCIENTIFIC_DATA_NOT_TOOL_INSTRUCTIONS",
  "entry": {
    "id": "lagrange-analytical-mechanics-1788",
    "title": "Lagrange: an analytical framework for mechanics",
    "summary": "Lagrange organized statics and dynamics through general analytical methods. Independent variables compatible with the stated constraints and variations of kinetic energy supplied a common way to formulate equations of motion.\n\nThe book makes algebraic operations and general equations central to mechanical problems. Its historical discussion identifies inherited conservation and variational ideas, while its working method reduces dependent positions to independent variables under equations of condition. The contribution is a reusable formulation, rather than the invention of every underlying principle. Later editions are part of the same work family.",
    "boundary": "The target is the 1788 first edition's analytical organization in the selected French original. The complete book and its formulas have not been independently proof-audited. Earlier mechanical principles and their authors retain credit. This does not assert a universal treatment of nonholonomic constraints or closed-form solutions to all mechanical systems.",
    "area": "Analytical mechanics",
    "topic": "Physics",
    "year": 1788,
    "lane": "HUMAN",
    "result": "THEORY",
    "package_id": "lagrange-analytical-mechanics-1788",
    "target": {
      "record_id": "urn:uuid:3671e627-e6ee-408c-a76b-18f1c4a2d640",
      "version": 1,
      "content_hash": "sha256:8271016b7dd62876236012ad57bf165e93a355d87136f61bee18e9cd15819290"
    },
    "humans": [
      "Joseph-Louis Lagrange"
    ],
    "authors_complete": true,
    "human_role_note": "Source-listed contributors to this scoped work. Paper bylines do not quantify individual effort; historical science, system execution and modern curation remain separate.",
    "agents": [],
    "related": [
      "newton"
    ],
    "subresults": [],
    "scientific_assessment": {
      "source_review": "SOURCE_CURATED",
      "scientific_review": "NOT_REVIEWED_BY_WRS",
      "formal_replay": "NOT_RUN",
      "provider_attestation": "NONE"
    },
    "sources": [
      {
        "id": "wrs24-lagrange-mechanics-1788",
        "title": "Joseph-Louis Lagrange, Méchanique analitique (Paris, 1788), original edition; ETH e-rara OCR",
        "url": "https://www.e-rara.ch/doi/10.3931/e-rara-8817"
      }
    ],
    "points": "450000",
    "published_grade": {
      "id": "lagrange-analytical-mechanics-1788",
      "entry_id": "lagrange-analytical-mechanics-1788",
      "band": "S",
      "modifier": null,
      "target": {
        "record_id": "urn:uuid:3671e627-e6ee-408c-a76b-18f1c4a2d640",
        "version": 1,
        "content_hash": "sha256:8271016b7dd62876236012ad57bf165e93a355d87136f61bee18e9cd15819290"
      },
      "what_changed": "A common analytical organization formulates constrained mechanical problems with independent variables and kinetic-energy variations instead of bespoke geometric constructions.",
      "scope": "A common analytical organization formulates constrained mechanical problems with independent variables and kinetic-energy variations instead of bespoke geometric constructions. The target is the 1788 first edition's analytical organization in the selected French original. The complete book and its formulas have not been independently proof-audited. Earlier mechanical principles and their authors retain credit. This does not assert a universal treatment of nonholonomic constraints or closed-form solutions to all mechanical systems.",
      "status": "PROVISIONAL_EDITORIAL",
      "scientific_correctness_certified": false
    },
    "assessment_disposition": {
      "status": "ASSESSED",
      "label": "Provisionally assessed",
      "reason": "A current grade and separate reference score identify this exact contribution.",
      "target": {
        "record_id": "urn:uuid:3671e627-e6ee-408c-a76b-18f1c4a2d640",
        "version": 1,
        "content_hash": "sha256:8271016b7dd62876236012ad57bf165e93a355d87136f61bee18e9cd15819290"
      },
      "edition": "ratings-e039106f30dec177"
    }
  },
  "version": {
    "kind": "PUBLIC_RECORD_VIEW",
    "previous": null,
    "published_at": "2026-10-03T00:00:00Z",
    "publisher": {
      "principal_id": "urn:uuid:80116931-785b-40a2-a24b-9d59db0c7e33",
      "role": "WRS_EDITORIAL_PUBLICATION"
    },
    "record": {
      "contributors": [
        {
          "attribution_basis": "SOURCE_CITED",
          "credit": "historical_scientific",
          "entity_kind": "historical_person",
          "name": "Joseph-Louis Lagrange",
          "note": "Archive attribution; detailed role assignment remains source-bound",
          "roles": [
            "formulator"
          ],
          "source": {
            "citation": "Joseph-Louis Lagrange, Méchanique analitique (Paris, 1788), original edition; ETH e-rara OCR",
            "url": "https://www.e-rara.ch/doi/10.3931/e-rara-8817"
          }
        }
      ],
      "evidence": [
        {
          "description": "Bibliographic/stated-result source; not a WRS proof verification",
          "id": "source-0",
          "kind": "source_reference",
          "source": {
            "citation": "Joseph-Louis Lagrange, Méchanique analitique (Paris, 1788), original edition; ETH e-rara OCR",
            "url": "https://www.e-rara.ch/doi/10.3931/e-rara-8817"
          }
        }
      ],
      "origin": "HUMAN_LEGACY",
      "record_profile": "wrs-local-research-notes-0.1",
      "record_type": "research_note",
      "rrp_version": "0.1",
      "scope": {
        "description": "The target is the 1788 first edition's analytical organization in the selected French original. The complete book and its formulas have not been independently proof-audited. Earlier mechanical principles and their authors retain credit. This does not assert a universal treatment of nonholonomic constraints or closed-form solutions to all mechanical systems.",
        "domain": "Analytical mechanics"
      },
      "sources": [
        {
          "citation": "Joseph-Louis Lagrange, Méchanique analitique (Paris, 1788), original edition; ETH e-rara OCR",
          "url": "https://www.e-rara.ch/doi/10.3931/e-rara-8817"
        }
      ],
      "statement": "# Lagrange: an analytical framework for mechanics\n\nLagrange organized statics and dynamics through general analytical methods. Independent variables compatible with the stated constraints and variations of kinetic energy supplied a common way to formulate equations of motion.\n\nThe book makes algebraic operations and general equations central to mechanical problems. Its historical discussion identifies inherited conservation and variational ideas, while its working method reduces dependent positions to independent variables under equations of condition. The contribution is a reusable formulation, rather than the invention of every underlying principle. Later editions are part of the same work family.\n\n## Scientific scope\n\nThe target is the 1788 first edition's analytical organization in the selected French original. The complete book and its formulas have not been independently proof-audited. Earlier mechanical principles and their authors retain credit. This does not assert a universal treatment of nonholonomic constraints or closed-form solutions to all mechanical systems.\n\n## People and systems\n\nJoseph-Louis Lagrange\n\n\n\n## Original sources\n\n- [Joseph-Louis Lagrange, Méchanique analitique (Paris, 1788), original edition; ETH e-rara OCR](https://www.e-rara.ch/doi/10.3931/e-rara-8817)\n",
      "summary": "Lagrange organized statics and dynamics through general analytical methods. Independent variables compatible with the stated constraints and variations of kinetic energy supplied a common way to formulate equations of motion.\n\nThe book makes algebraic operations and general equations central to mechanical problems. Its historical discussion identifies inherited conservation and variational ideas, while its working method reduces dependent positions to independent variables under equations of condition. The contribution is a reusable formulation, rather than the invention of every underlying principle. Later editions are part of the same work family.",
      "title": "Lagrange: an analytical framework for mechanics"
    },
    "record_id": "urn:uuid:3671e627-e6ee-408c-a76b-18f1c4a2d640",
    "version": 1,
    "source_ref": {
      "record_id": "urn:uuid:3671e627-e6ee-408c-a76b-18f1c4a2d640",
      "version": 1,
      "content_hash": "sha256:8271016b7dd62876236012ad57bf165e93a355d87136f61bee18e9cd15819290"
    },
    "export_view": "wrs-public-editorial-view-1",
    "public_view_hash": "sha256:b73847a947d066a8bbc9f8501e6302099b59c3e8f1c4ebf97dfee47e21790b68"
  },
  "target": {
    "record_id": "urn:uuid:3671e627-e6ee-408c-a76b-18f1c4a2d640",
    "version": 1,
    "content_hash": "sha256:8271016b7dd62876236012ad57bf165e93a355d87136f61bee18e9cd15819290"
  },
  "published_grade": {
    "profile": "wrs-published-grade-1",
    "edition": "2026-10-28.1",
    "id": "lagrange-analytical-mechanics-1788",
    "entry_id": "lagrange-analytical-mechanics-1788",
    "revision": 1,
    "title": "Lagrange: an analytical framework for mechanics",
    "context": "Analytical mechanics",
    "track": "Analytical mechanics",
    "band": "S",
    "modifier": null,
    "status": "PROVISIONAL_EDITORIAL",
    "assessed_on": "2026-10-03",
    "evidence_cutoff": "2026-10-03",
    "achievement_state": "SUPPORTED_SCOPED_RESULT",
    "what_changed": "A common analytical organization formulates constrained mechanical problems with independent variables and kinetic-energy variations instead of bespoke geometric constructions.",
    "scope": "A common analytical organization formulates constrained mechanical problems with independent variables and kinetic-energy variations instead of bespoke geometric constructions. The target is the 1788 first edition's analytical organization in the selected French original. The complete book and its formulas have not been independently proof-audited. Earlier mechanical principles and their authors retain credit. This does not assert a universal treatment of nonholonomic constraints or closed-form solutions to all mechanical systems.",
    "evidence_summary": "Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.",
    "references": [
      {
        "title": "Joseph-Louis Lagrange, Méchanique analitique (Paris, 1788), original edition; ETH e-rara OCR",
        "url": "https://www.e-rara.ch/doi/10.3931/e-rara-8817",
        "locator": "Original linked work. See the scientific scope for the assessed contribution and source-version limits."
      }
    ],
    "roles": [
      {
        "who": "Joseph-Louis Lagrange",
        "did": "Original source-listed scientific author of this scoped work; byline does not determine effort fractions.",
        "credit": "SCIENCE"
      }
    ],
    "target": {
      "record_id": "urn:uuid:3671e627-e6ee-408c-a76b-18f1c4a2d640",
      "version": 1,
      "content_hash": "sha256:8271016b7dd62876236012ad57bf165e93a355d87136f61bee18e9cd15819290"
    },
    "scientific_correctness_certified": false,
    "independent_expert_calibration": false,
    "method": "PROPRIETARY",
    "points": "450000"
  },
  "canonical_agent_submission": false,
  "scientific_verification_awarded": false,
  "reader_guide": null,
  "reading_status": "SOURCE_LINKED_NOTE"
}
