{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4R5FJJVUXMMIZFS7XPQ2VNEDEP","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":"c19dab167159a96f96d829c719a175a440dc08f4c32baa41e533281796024e03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-09T21:59:28Z","title_canon_sha256":"536a5a8449cadc7cb586c3de8c7385b7d621c5a4d33b7ab1127b277619e492f7"},"schema_version":"1.0","source":{"id":"1307.2607","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2607","created_at":"2026-05-18T03:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2607v1","created_at":"2026-05-18T03:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2607","created_at":"2026-05-18T03:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"4R5FJJVUXMMI","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4R5FJJVUXMMIZFS7","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4R5FJJVU","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:07cf98357a7d6289d4125bf8d83976dc2b2bcb09fda28be8644614c92e017b8c","target":"graph","created_at":"2026-05-18T03:18:50Z","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 prove the local equivariant Tamagawa number conjecture for the motive of an abelian extension of an imaginary quadratic field with the action of the Galois group ring for all split primes p not equal to 2 or 3 at all negative integer values s.","authors_text":"Jennifer Johnson-Leung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-09T21:59:28Z","title":"The local equivariant Tamagawa number conjecture for almost abelian extensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2607","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":"sha256:7d0481b1e155c94af45cb40c64ebad7b858351f22cf8b472887ade6226ba12fa","target":"record","created_at":"2026-05-18T03:18:50Z","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":"c19dab167159a96f96d829c719a175a440dc08f4c32baa41e533281796024e03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-09T21:59:28Z","title_canon_sha256":"536a5a8449cadc7cb586c3de8c7385b7d621c5a4d33b7ab1127b277619e492f7"},"schema_version":"1.0","source":{"id":"1307.2607","kind":"arxiv","version":1}},"canonical_sha256":"e47a54a6b4bb188c965fbbe1aab48323d64e0e0e612cce110ab0633d170b68dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e47a54a6b4bb188c965fbbe1aab48323d64e0e0e612cce110ab0633d170b68dd","first_computed_at":"2026-05-18T03:18:50.954655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:50.954655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r6ujeWs5/MiTf0qdTegU7QPwHPM6IDJRi47vNwRTa3mWHt2KBeTWiUG8iOY+AA4EVNXUGTImbmYl6ZslgYu6CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:50.955461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.2607","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d0481b1e155c94af45cb40c64ebad7b858351f22cf8b472887ade6226ba12fa","sha256:07cf98357a7d6289d4125bf8d83976dc2b2bcb09fda28be8644614c92e017b8c"],"state_sha256":"4402eb5b957bbecc7234a5bc02906080fe838491ab468dbb99f4e8a2c4d7c6d4"}