{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6FK2WPTDLRPFMSIQA5KI7LMKJH","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":"619721da8b4ec80446b26adc5ebd8191afa99ae2cc0b098b3128eef6abbcbf5b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-24T12:19:55Z","title_canon_sha256":"0965e5d8e08ac1a9a973be9fe01822205cd97c4d6cb22e7519a541dac0a689b4"},"schema_version":"1.0","source":{"id":"1805.09630","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09630","created_at":"2026-05-18T00:15:03Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09630v1","created_at":"2026-05-18T00:15:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09630","created_at":"2026-05-18T00:15:03Z"},{"alias_kind":"pith_short_12","alias_value":"6FK2WPTDLRPF","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"6FK2WPTDLRPFMSIQ","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"6FK2WPTD","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:5dc5abb42adad831262f951911167a616eaf034e5fce66bf2ad1bced40538a02","target":"graph","created_at":"2026-05-18T00:15:03Z","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":"The paper reviews various arithmetic analogues of Hamiltonian systems and presents some new facts suggesting ways to relate/unify these examples.","authors_text":"Alexandru Buium","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-24T12:19:55Z","title":"Arithmetic analogues of Hamiltonian systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09630","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:bec6252f0064ddb0a94d19bac54f27573ef1143ff5e2c5dfbde807bcb8d8ddae","target":"record","created_at":"2026-05-18T00:15:03Z","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":"619721da8b4ec80446b26adc5ebd8191afa99ae2cc0b098b3128eef6abbcbf5b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-24T12:19:55Z","title_canon_sha256":"0965e5d8e08ac1a9a973be9fe01822205cd97c4d6cb22e7519a541dac0a689b4"},"schema_version":"1.0","source":{"id":"1805.09630","kind":"arxiv","version":1}},"canonical_sha256":"f155ab3e635c5e56491007548fad8a49d32ca91757b9a27ee464b2142de9c5ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f155ab3e635c5e56491007548fad8a49d32ca91757b9a27ee464b2142de9c5ec","first_computed_at":"2026-05-18T00:15:03.340530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:03.340530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9TKUbsgL+pMRdAUExWVAieVnaJ1toA6QxOjuDsuE0dBLIuUHk4fmTt8tDYsgXNUg97qb75r4km1pQqb/zFcLAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:03.341408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09630","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bec6252f0064ddb0a94d19bac54f27573ef1143ff5e2c5dfbde807bcb8d8ddae","sha256:5dc5abb42adad831262f951911167a616eaf034e5fce66bf2ad1bced40538a02"],"state_sha256":"9ecce2b57148d8e97d21a2733418a2c00624b0b626550fc49e7fad9f0ad90f2a"}