{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:G4DGILVV5AM7DKIKVS4SFOIL25","short_pith_number":"pith:G4DGILVV","schema_version":"1.0","canonical_sha256":"3706642eb5e819f1a90aacb922b90bd773377df88e2a0b65bc3b01da2f6b7034","source":{"kind":"arxiv","id":"gr-qc/0402019","version":1},"attestation_state":"computed","paper":{"title":"Covariant Lyapunov Exponents for the Mixmaster","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Giovanni Imponente, Giovanni Montani","submitted_at":"2004-02-04T12:10:38Z","abstract_excerpt":"The dynamics of the Mixmaster Universe is analized in a covariant picture via Misner--Chitre-like variables for an ADM Hamiltonian approach. The system outcomes as isomorphic to a billiard on the Lobachevsky plane and Lyapunov exponents are calculated explicitly."},"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":"gr-qc/0402019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-02-04T12:10:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"9dc845293f01ca886e2b75a39903ad5a539b94afee9ed021c05cc91cb0d3b1c1","abstract_canon_sha256":"2e8be9d158ddbc70b982b4ccdbc168b8fa51740ec7ce3812b67abc5e11290fdc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:50.492953Z","signature_b64":"RmRDoafotoo2pXetgZhrlUy1RhNH4a+o85phVNcgljJBPC4xUmGKIobKnQ+6GAR3PBCbIyT5xvQSUOXlwf0fCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3706642eb5e819f1a90aacb922b90bd773377df88e2a0b65bc3b01da2f6b7034","last_reissued_at":"2026-05-18T00:59:50.492381Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:50.492381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Covariant Lyapunov Exponents for the Mixmaster","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Giovanni Imponente, Giovanni Montani","submitted_at":"2004-02-04T12:10:38Z","abstract_excerpt":"The dynamics of the Mixmaster Universe is analized in a covariant picture via Misner--Chitre-like variables for an ADM Hamiltonian approach. The system outcomes as isomorphic to a billiard on the Lobachevsky plane and Lyapunov exponents are calculated explicitly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0402019","kind":"arxiv","version":1},"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":"gr-qc/0402019","created_at":"2026-05-18T00:59:50.492459+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0402019v1","created_at":"2026-05-18T00:59:50.492459+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0402019","created_at":"2026-05-18T00:59:50.492459+00:00"},{"alias_kind":"pith_short_12","alias_value":"G4DGILVV5AM7","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"G4DGILVV5AM7DKIK","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"G4DGILVV","created_at":"2026-05-18T12:25:52.687210+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/G4DGILVV5AM7DKIKVS4SFOIL25","json":"https://pith.science/pith/G4DGILVV5AM7DKIKVS4SFOIL25.json","graph_json":"https://pith.science/api/pith-number/G4DGILVV5AM7DKIKVS4SFOIL25/graph.json","events_json":"https://pith.science/api/pith-number/G4DGILVV5AM7DKIKVS4SFOIL25/events.json","paper":"https://pith.science/paper/G4DGILVV"},"agent_actions":{"view_html":"https://pith.science/pith/G4DGILVV5AM7DKIKVS4SFOIL25","download_json":"https://pith.science/pith/G4DGILVV5AM7DKIKVS4SFOIL25.json","view_paper":"https://pith.science/paper/G4DGILVV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0402019&json=true","fetch_graph":"https://pith.science/api/pith-number/G4DGILVV5AM7DKIKVS4SFOIL25/graph.json","fetch_events":"https://pith.science/api/pith-number/G4DGILVV5AM7DKIKVS4SFOIL25/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G4DGILVV5AM7DKIKVS4SFOIL25/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G4DGILVV5AM7DKIKVS4SFOIL25/action/storage_attestation","attest_author":"https://pith.science/pith/G4DGILVV5AM7DKIKVS4SFOIL25/action/author_attestation","sign_citation":"https://pith.science/pith/G4DGILVV5AM7DKIKVS4SFOIL25/action/citation_signature","submit_replication":"https://pith.science/pith/G4DGILVV5AM7DKIKVS4SFOIL25/action/replication_record"}},"created_at":"2026-05-18T00:59:50.492459+00:00","updated_at":"2026-05-18T00:59:50.492459+00:00"}