{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:FV6QY6YLHBZJOMVQKXADFSFLK5","short_pith_number":"pith:FV6QY6YL","schema_version":"1.0","canonical_sha256":"2d7d0c7b0b38729732b055c032c8ab575a518b3706b3dfb61063b8c8506d907c","source":{"kind":"arxiv","id":"1102.0923","version":2},"attestation_state":"computed","paper":{"title":"A proof of the invariant torus theorem of Kolmogorov","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.FA","math.MP"],"primary_cat":"math.DS","authors_text":"Jacques F\\'ejoz","submitted_at":"2011-02-04T14:20:39Z","abstract_excerpt":"Kolmogorov's invariant torus theorem is proved using a simple fixed point theorem."},"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":"1102.0923","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-02-04T14:20:39Z","cross_cats_sorted":["math-ph","math.FA","math.MP"],"title_canon_sha256":"23f3240b83f306084dbb5f79eeffb5adfb547f3b0247d9fb452ed8ce445e4656","abstract_canon_sha256":"c5375769a130e385aec691f04cd2409928dd5b51a0b5b299587f80d0f9bdaad7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:16.665408Z","signature_b64":"2pigZx2rOscVDUB3NaaFzd7KQgMq/uGWBj9+Pd1LFiwKiZzWp+oFUFhTAHtXjOxB6+U1XFCLvzrC8kk9c6emCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d7d0c7b0b38729732b055c032c8ab575a518b3706b3dfb61063b8c8506d907c","last_reissued_at":"2026-05-18T02:03:16.664919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:16.664919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A proof of the invariant torus theorem of Kolmogorov","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.FA","math.MP"],"primary_cat":"math.DS","authors_text":"Jacques F\\'ejoz","submitted_at":"2011-02-04T14:20:39Z","abstract_excerpt":"Kolmogorov's invariant torus theorem is proved using a simple fixed point theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0923","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":"1102.0923","created_at":"2026-05-18T02:03:16.664997+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.0923v2","created_at":"2026-05-18T02:03:16.664997+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0923","created_at":"2026-05-18T02:03:16.664997+00:00"},{"alias_kind":"pith_short_12","alias_value":"FV6QY6YLHBZJ","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"FV6QY6YLHBZJOMVQ","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"FV6QY6YL","created_at":"2026-05-18T12:26:28.662955+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/FV6QY6YLHBZJOMVQKXADFSFLK5","json":"https://pith.science/pith/FV6QY6YLHBZJOMVQKXADFSFLK5.json","graph_json":"https://pith.science/api/pith-number/FV6QY6YLHBZJOMVQKXADFSFLK5/graph.json","events_json":"https://pith.science/api/pith-number/FV6QY6YLHBZJOMVQKXADFSFLK5/events.json","paper":"https://pith.science/paper/FV6QY6YL"},"agent_actions":{"view_html":"https://pith.science/pith/FV6QY6YLHBZJOMVQKXADFSFLK5","download_json":"https://pith.science/pith/FV6QY6YLHBZJOMVQKXADFSFLK5.json","view_paper":"https://pith.science/paper/FV6QY6YL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.0923&json=true","fetch_graph":"https://pith.science/api/pith-number/FV6QY6YLHBZJOMVQKXADFSFLK5/graph.json","fetch_events":"https://pith.science/api/pith-number/FV6QY6YLHBZJOMVQKXADFSFLK5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FV6QY6YLHBZJOMVQKXADFSFLK5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FV6QY6YLHBZJOMVQKXADFSFLK5/action/storage_attestation","attest_author":"https://pith.science/pith/FV6QY6YLHBZJOMVQKXADFSFLK5/action/author_attestation","sign_citation":"https://pith.science/pith/FV6QY6YLHBZJOMVQKXADFSFLK5/action/citation_signature","submit_replication":"https://pith.science/pith/FV6QY6YLHBZJOMVQKXADFSFLK5/action/replication_record"}},"created_at":"2026-05-18T02:03:16.664997+00:00","updated_at":"2026-05-18T02:03:16.664997+00:00"}