{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OZTAWXMY3CFBBDUA6UUMDFFE6I","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e6a5e3eae04361f36af6513132d1dc45a74048f02cb7250ed86be2dba0bcdeda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-27T11:02:43Z","title_canon_sha256":"db4d2abf10744d61d0e3115ba83a21b0ccbbcfffd31c77b38958458134ece6fd"},"schema_version":"1.0","source":{"id":"1610.08706","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08706","created_at":"2026-05-18T01:01:07Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08706v1","created_at":"2026-05-18T01:01:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08706","created_at":"2026-05-18T01:01:07Z"},{"alias_kind":"pith_short_12","alias_value":"OZTAWXMY3CFB","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OZTAWXMY3CFBBDUA","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OZTAWXMY","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:48f7d9d006af6ac855a22fa1d79c2d1bb4935f0d093b3282dd3215285e6e8bc0","target":"graph","created_at":"2026-05-18T01:01:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study local Lie algebras of pairs of functions which generate infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds.","authors_text":"Josef Jany\\v{s}ka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-27T11:02:43Z","title":"Remarks on Local Lie algebras of pairs of functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08706","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dd52c17b8e27974839e547ea93df97836fe23cf9ca53d75f16f3df172f2ba7c8","target":"record","created_at":"2026-05-18T01:01:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e6a5e3eae04361f36af6513132d1dc45a74048f02cb7250ed86be2dba0bcdeda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-27T11:02:43Z","title_canon_sha256":"db4d2abf10744d61d0e3115ba83a21b0ccbbcfffd31c77b38958458134ece6fd"},"schema_version":"1.0","source":{"id":"1610.08706","kind":"arxiv","version":1}},"canonical_sha256":"76660b5d98d88a108e80f528c194a4f21f6d80de04f27bb93971905a5389921d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76660b5d98d88a108e80f528c194a4f21f6d80de04f27bb93971905a5389921d","first_computed_at":"2026-05-18T01:01:07.480407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:07.480407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gaJh9zazea/mbQJEqMhBd97+VV7S7UqV8NlYNRV2BZIubcembyF7f6y7+uP0HwFufsV2z6Cc0X8w8cza4vhOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:07.480951Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.08706","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd52c17b8e27974839e547ea93df97836fe23cf9ca53d75f16f3df172f2ba7c8","sha256:48f7d9d006af6ac855a22fa1d79c2d1bb4935f0d093b3282dd3215285e6e8bc0"],"state_sha256":"6ce1dd9938c9bc69f65260326d01274d7c2e2c7f87af1d6e58d9ae16adfb1fd6"}