{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:3SN2IZJOOXDQZA7SREGDNNDPUW","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":"0990f1e9a529cb3aaacbbc37c253016e25e63419bc6cb43f91d721eccdeb2959","cross_cats_sorted":["math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2008-04-14T10:50:31Z","title_canon_sha256":"9bbea69de9fe153795f1425cadd8bc2f23e3e854206b4e5580654c4dc02410b0"},"schema_version":"1.0","source":{"id":"0804.2142","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.2142","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"0804.2142v2","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.2142","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"3SN2IZJOOXDQ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"3SN2IZJOOXDQZA7S","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"3SN2IZJO","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:cc3c72a7e7e67c8dae59450390c56a7f53abb976ae2fee3269461f93da5b84a4","target":"graph","created_at":"2026-05-18T03:24:52Z","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 contained a preliminary version of a general theory of reciprocity laws on vector spaces.","authors_text":"Fernando Pablos Romo","cross_cats":["math.AC","math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2008-04-14T10:50:31Z","title":"A General Reciprocity Law on arbitrary Vector Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.2142","kind":"arxiv","version":2},"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:ad13c2aed0c42dbb963dfefcb7328b7ab6b2fccc88738591040dc70d96943eb0","target":"record","created_at":"2026-05-18T03:24:52Z","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":"0990f1e9a529cb3aaacbbc37c253016e25e63419bc6cb43f91d721eccdeb2959","cross_cats_sorted":["math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2008-04-14T10:50:31Z","title_canon_sha256":"9bbea69de9fe153795f1425cadd8bc2f23e3e854206b4e5580654c4dc02410b0"},"schema_version":"1.0","source":{"id":"0804.2142","kind":"arxiv","version":2}},"canonical_sha256":"dc9ba4652e75c70c83f2890c36b46fa58791813c2bb2ab64e68d5f52b8265edb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc9ba4652e75c70c83f2890c36b46fa58791813c2bb2ab64e68d5f52b8265edb","first_computed_at":"2026-05-18T03:24:52.865696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:52.865696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gDIfR8lKoETDJ2YYDSvl1cOCu1sWRAYh4nuNgNjLKDXgzzN4VeYnio5z/2jJzG4rj76IJ37nWUl7fl5C1MNFCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:52.866404Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.2142","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad13c2aed0c42dbb963dfefcb7328b7ab6b2fccc88738591040dc70d96943eb0","sha256:cc3c72a7e7e67c8dae59450390c56a7f53abb976ae2fee3269461f93da5b84a4"],"state_sha256":"5180e424fa2209b8a50cd9350116cecb9afdcf97979bf114c66597116ca8df67"}