{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DP7EPQNLG7MI2ME4HATYCETICK","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":"0f24f269e2ae71cdee94ac98f8d4831fff2a1f50f1547bfbebd24b3e40f80f6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-07-19T16:17:34Z","title_canon_sha256":"101be95f77bd42738aa993bed27e5d9675f0b8c3bc02b24c9065480f38ed8896"},"schema_version":"1.0","source":{"id":"1207.4722","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4722","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4722v1","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4722","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"pith_short_12","alias_value":"DP7EPQNLG7MI","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DP7EPQNLG7MI2ME4","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DP7EPQNL","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:dcb986f9fd2628be3a6b9a5d2bed27edf7c94e4f1bbba52e6e124397ca201c1a","target":"graph","created_at":"2026-05-18T03:50:35Z","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 Boyd's conjectures relating Mahler's measures and values of L-functions of elliptic curves in the cases when the corresponding elliptic curve has conductor 14.","authors_text":"Anton Mellit","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-07-19T16:17:34Z","title":"Elliptic dilogarithms and parallel lines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4722","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":"sha256:80cbbaaf166cbe4ea04e3377fa68b1aa39fe031f03d85c1d299d7b8b7653b288","target":"record","created_at":"2026-05-18T03:50:35Z","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":"0f24f269e2ae71cdee94ac98f8d4831fff2a1f50f1547bfbebd24b3e40f80f6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-07-19T16:17:34Z","title_canon_sha256":"101be95f77bd42738aa993bed27e5d9675f0b8c3bc02b24c9065480f38ed8896"},"schema_version":"1.0","source":{"id":"1207.4722","kind":"arxiv","version":1}},"canonical_sha256":"1bfe47c1ab37d88d309c382781126812a2f37d318e654f93a1ab8dd9145adb07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1bfe47c1ab37d88d309c382781126812a2f37d318e654f93a1ab8dd9145adb07","first_computed_at":"2026-05-18T03:50:35.961675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:35.961675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z7zopd+ZhQTqpylgDR3ikOnx2KEof7J0cMrmb0OQA0Ot5bcm7pjMajdGtNe3+9ABFOQfj3KIZIDOSs7CgdjoCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:35.962403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4722","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80cbbaaf166cbe4ea04e3377fa68b1aa39fe031f03d85c1d299d7b8b7653b288","sha256:dcb986f9fd2628be3a6b9a5d2bed27edf7c94e4f1bbba52e6e124397ca201c1a"],"state_sha256":"f5ec0a1159650abc653ddf48bed4b7bf50b1d8ca088195f69dd99097261554d3"}