{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UYRSFGVJJK7IDXYZCDB254GMUG","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":"98362749fb53359a554275f03a4b805daab9b8413ecb63cb6e4d022bc0876124","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-04-22T14:18:55Z","title_canon_sha256":"38d7205d7c90c62f48e9f0afa925caee8d83b13f9a6ff8b1908d859cff11d5f4"},"schema_version":"1.0","source":{"id":"1204.4892","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4892","created_at":"2026-05-18T03:57:15Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4892v1","created_at":"2026-05-18T03:57:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4892","created_at":"2026-05-18T03:57:15Z"},{"alias_kind":"pith_short_12","alias_value":"UYRSFGVJJK7I","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"UYRSFGVJJK7IDXYZ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"UYRSFGVJ","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:51c347140801d12be14a42a5319aaa7ff3e2f62933ed5dd999a35633a80c95f2","target":"graph","created_at":"2026-05-18T03:57:15Z","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":"Based on the analogy between knots and primes, J. Hillman, D. Matei and M. Morishita defined the Iwasawa invariants for sequences of cyclic covers of links with an analogue of Iwasawa's class number formula of number fields. In this paper, we consider the existence of covers of links with prescribed Iwasawa invariants, discussing analogies in number theory. We also propose and consider a problem analogous to Greenberg's conjecture.","authors_text":"Teruhisa Kadokami, Yasushi Mizusawa","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-04-22T14:18:55Z","title":"On the Iwasawa invariants of a link in the 3-sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4892","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":"sha256:4625246751644f27404aa9506da90ae6fbc3bb1736b82a10d3115ac9377a64be","target":"record","created_at":"2026-05-18T03:57:15Z","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":"98362749fb53359a554275f03a4b805daab9b8413ecb63cb6e4d022bc0876124","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-04-22T14:18:55Z","title_canon_sha256":"38d7205d7c90c62f48e9f0afa925caee8d83b13f9a6ff8b1908d859cff11d5f4"},"schema_version":"1.0","source":{"id":"1204.4892","kind":"arxiv","version":1}},"canonical_sha256":"a623229aa94abe81df1910c3aef0cca1ae0df590f92d50ddfceef2304a0aeee3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a623229aa94abe81df1910c3aef0cca1ae0df590f92d50ddfceef2304a0aeee3","first_computed_at":"2026-05-18T03:57:15.194019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:15.194019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mr6dUSpDEi1uzV74ThvURDXqISg1/2jI2Co5zVLjUnEB7KjgpjCO3qeCJvMQt1c4jIhFR5VlpPK1mDLY0gbZDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:15.194430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.4892","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4625246751644f27404aa9506da90ae6fbc3bb1736b82a10d3115ac9377a64be","sha256:51c347140801d12be14a42a5319aaa7ff3e2f62933ed5dd999a35633a80c95f2"],"state_sha256":"2c014f95e881085216a1c7cd0e58e7c42ed37e3b92c2e54c082201fcc4cb6ebc"}