{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KEUP6MLWADCZUESQTJBHKNBHEF","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":"9eac2f77ba689819a5f2d1e7e51d5587e46d34744c96534a3e06d0f10e28c166","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-20T19:33:47Z","title_canon_sha256":"5ccb00149052c2197281ba55cdf926e5dc7a7f0b3363f2cd4e246cca4270ff5f"},"schema_version":"1.0","source":{"id":"1506.06286","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06286","created_at":"2026-05-18T01:41:45Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06286v1","created_at":"2026-05-18T01:41:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06286","created_at":"2026-05-18T01:41:45Z"},{"alias_kind":"pith_short_12","alias_value":"KEUP6MLWADCZ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KEUP6MLWADCZUESQ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KEUP6MLW","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:cc2bd4685c8fab4b77b54ca67774a4d95035eb69e1a267bdf06d5b3009acf962","target":"graph","created_at":"2026-05-18T01:41:45Z","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 a \"discrete analogue\" for Taelman's class modules of certain Conjectures formulated by R. Greenberg for cyclotomic fields.","authors_text":"Bruno Angl\\`es, Floric Tavares Ribeiro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-20T19:33:47Z","title":"Arithmetic of function field units"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06286","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:c9de931af0d39c79fa356140908006edc624ffa92c51c54e0eaaecdd6539f65a","target":"record","created_at":"2026-05-18T01:41:45Z","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":"9eac2f77ba689819a5f2d1e7e51d5587e46d34744c96534a3e06d0f10e28c166","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-20T19:33:47Z","title_canon_sha256":"5ccb00149052c2197281ba55cdf926e5dc7a7f0b3363f2cd4e246cca4270ff5f"},"schema_version":"1.0","source":{"id":"1506.06286","kind":"arxiv","version":1}},"canonical_sha256":"5128ff317600c59a12509a42753427216a65af02dcffb7aa1e8dc0f773a4307e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5128ff317600c59a12509a42753427216a65af02dcffb7aa1e8dc0f773a4307e","first_computed_at":"2026-05-18T01:41:45.596477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:45.596477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Czy9jE8tT2Q+J5DGEd0w8wXi2vu6gPDlZ2wKMYO+478ufh77QqeS4DHjdjbodnKSkyPI/uLhj8MHruz4mIbAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:45.596942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06286","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9de931af0d39c79fa356140908006edc624ffa92c51c54e0eaaecdd6539f65a","sha256:cc2bd4685c8fab4b77b54ca67774a4d95035eb69e1a267bdf06d5b3009acf962"],"state_sha256":"b68c511604556c10573da69bd1b35ca24f4b613b70d8fbe21e15fc7ff58797d7"}