{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:E7LOICZZY3DZNUABOMLGGB67GN","short_pith_number":"pith:E7LOICZZ","schema_version":"1.0","canonical_sha256":"27d6e40b39c6c796d00173166307df336c46f17baf0623f003ade97aab2700d6","source":{"kind":"arxiv","id":"0712.1807","version":2},"attestation_state":"computed","paper":{"title":"Intrinsic Formulation of Geometric Integrability and Generation of Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Paul Bracken","submitted_at":"2007-12-11T20:07:22Z","abstract_excerpt":"An intrinsic version of the integrability theorem for the classical Backlund theorem is presented. It is characterized by a one-form which can be put in the form of a Riccati system. It is shown how this system can be linearized. Based on this, a procedure for generating an infinite number of conservation laws is given."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0712.1807","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2007-12-11T20:07:22Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c6f0527e21be182fc63f910a6c935f192c16cb82ec5197c80db0f102df039ffd","abstract_canon_sha256":"3f9b02bf802cfb7694949a84a13ec4d929ff92c65f0d4415abbf8249893eb7a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:34.521109Z","signature_b64":"Z75h6Cc51bapafkXk/T7B1BcS0u8FuZxf3ymn+yfkRZcLZOkwUlevpcLUONSTLY8Wky1aMkihibtLG90XcjnCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27d6e40b39c6c796d00173166307df336c46f17baf0623f003ade97aab2700d6","last_reissued_at":"2026-05-18T04:37:34.520664Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:34.520664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intrinsic Formulation of Geometric Integrability and Generation of Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Paul Bracken","submitted_at":"2007-12-11T20:07:22Z","abstract_excerpt":"An intrinsic version of the integrability theorem for the classical Backlund theorem is presented. It is characterized by a one-form which can be put in the form of a Riccati system. It is shown how this system can be linearized. Based on this, a procedure for generating an infinite number of conservation laws is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.1807","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0712.1807","created_at":"2026-05-18T04:37:34.520734+00:00"},{"alias_kind":"arxiv_version","alias_value":"0712.1807v2","created_at":"2026-05-18T04:37:34.520734+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.1807","created_at":"2026-05-18T04:37:34.520734+00:00"},{"alias_kind":"pith_short_12","alias_value":"E7LOICZZY3DZ","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"E7LOICZZY3DZNUAB","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"E7LOICZZ","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E7LOICZZY3DZNUABOMLGGB67GN","json":"https://pith.science/pith/E7LOICZZY3DZNUABOMLGGB67GN.json","graph_json":"https://pith.science/api/pith-number/E7LOICZZY3DZNUABOMLGGB67GN/graph.json","events_json":"https://pith.science/api/pith-number/E7LOICZZY3DZNUABOMLGGB67GN/events.json","paper":"https://pith.science/paper/E7LOICZZ"},"agent_actions":{"view_html":"https://pith.science/pith/E7LOICZZY3DZNUABOMLGGB67GN","download_json":"https://pith.science/pith/E7LOICZZY3DZNUABOMLGGB67GN.json","view_paper":"https://pith.science/paper/E7LOICZZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0712.1807&json=true","fetch_graph":"https://pith.science/api/pith-number/E7LOICZZY3DZNUABOMLGGB67GN/graph.json","fetch_events":"https://pith.science/api/pith-number/E7LOICZZY3DZNUABOMLGGB67GN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E7LOICZZY3DZNUABOMLGGB67GN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E7LOICZZY3DZNUABOMLGGB67GN/action/storage_attestation","attest_author":"https://pith.science/pith/E7LOICZZY3DZNUABOMLGGB67GN/action/author_attestation","sign_citation":"https://pith.science/pith/E7LOICZZY3DZNUABOMLGGB67GN/action/citation_signature","submit_replication":"https://pith.science/pith/E7LOICZZY3DZNUABOMLGGB67GN/action/replication_record"}},"created_at":"2026-05-18T04:37:34.520734+00:00","updated_at":"2026-05-18T04:37:34.520734+00:00"}