{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:URAC6FJQSQHDEYS4EO2RKO6SH3","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":"133d5622137c3688346b16076d7bf259e122b781e69fabd5328651b18e69dc3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-11-29T21:19:32Z","title_canon_sha256":"fb69c2bfc7d1b970fcbc865368c0eae6b693ce8bd13e55dd7a2845a5ba910a35"},"schema_version":"1.0","source":{"id":"1011.6393","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.6393","created_at":"2026-05-18T04:34:27Z"},{"alias_kind":"arxiv_version","alias_value":"1011.6393v1","created_at":"2026-05-18T04:34:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6393","created_at":"2026-05-18T04:34:27Z"},{"alias_kind":"pith_short_12","alias_value":"URAC6FJQSQHD","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"URAC6FJQSQHDEYS4","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"URAC6FJQ","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:a3929811f5f84864e21c26f142338f46767e7130561b605c594de05430840aae","target":"graph","created_at":"2026-05-18T04:34:27Z","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 properties of ramification in Iwasawa modules.","authors_text":"Chandrashekhar Khare, Jean-Pierre Wintenberger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-11-29T21:19:32Z","title":"Ramification in Iwasawa modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6393","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:cd717827d1cda44c8c7ec12a509dba86a75d5c22faa9833460a3da7e41d6984b","target":"record","created_at":"2026-05-18T04:34:27Z","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":"133d5622137c3688346b16076d7bf259e122b781e69fabd5328651b18e69dc3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-11-29T21:19:32Z","title_canon_sha256":"fb69c2bfc7d1b970fcbc865368c0eae6b693ce8bd13e55dd7a2845a5ba910a35"},"schema_version":"1.0","source":{"id":"1011.6393","kind":"arxiv","version":1}},"canonical_sha256":"a4402f1530940e32625c23b5153bd23eda8c2801c4b09f661c653221dc805e34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4402f1530940e32625c23b5153bd23eda8c2801c4b09f661c653221dc805e34","first_computed_at":"2026-05-18T04:34:27.010099Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:27.010099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sDvvZ6WI6A24m2sMW0rk/WhAD1YBXgFSwnkYO4gcNwj6Zy3GqwZh/pM1Cc2vXLYmiNAQc8hMylmO4rrx4iRBBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:27.010531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.6393","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd717827d1cda44c8c7ec12a509dba86a75d5c22faa9833460a3da7e41d6984b","sha256:a3929811f5f84864e21c26f142338f46767e7130561b605c594de05430840aae"],"state_sha256":"412e1a98d808713d9d924c9e40d427e4f19e78cf444f7bd76e931ddac1042e39"}