{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IIVWRPTNXBEIFJIWOM346OWCID","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":"8b8641fd61ec8f99adc1c586abbc51c20bd1137458c358ca69589f07518ffb77","cross_cats_sorted":["math.AT","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-05T06:12:19Z","title_canon_sha256":"8f99d477cc93163d4f0a4fb3be527a26b2b750812f39b6461f692ecd6f239f9d"},"schema_version":"1.0","source":{"id":"1401.0868","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0868","created_at":"2026-05-18T00:42:39Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0868v3","created_at":"2026-05-18T00:42:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0868","created_at":"2026-05-18T00:42:39Z"},{"alias_kind":"pith_short_12","alias_value":"IIVWRPTNXBEI","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IIVWRPTNXBEIFJIW","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IIVWRPTN","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:2f99fc6253cae7fde46c6d9e751d94183562d8bc07d386e6d8caf73a29b356c1","target":"graph","created_at":"2026-05-18T00:42:39Z","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":"A central question in arrangement theory is to determine whether the characteristic polynomial $\\Delta_q$ of the algebraic monodromy acting on the homology group $H_q(F(\\mathcal{A}),\\mathbb{C})$ of the Milnor fiber of a complex hyperplane arrangement $\\mathcal{A}$ is determined by the intersection lattice $L(\\mathcal{A})$. Under simple combinatorial conditions, we show that the multiplicities of the factors of $\\Delta_1$ corresponding to certain eigenvalues of order a power of a prime $p$ are equal to the Aomoto--Betti numbers $\\beta_p(\\mathcal{A})$, which in turn are extracted from $L(\\mathca","authors_text":"Alexander I. Suciu, Stefan Papadima","cross_cats":["math.AT","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-05T06:12:19Z","title":"The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0868","kind":"arxiv","version":3},"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":"sha256:9eb95f4ab5fcdc9646ddc5200a6fa086525077a20e3d8215ef977410b170cafb","target":"record","created_at":"2026-05-18T00:42:39Z","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":"8b8641fd61ec8f99adc1c586abbc51c20bd1137458c358ca69589f07518ffb77","cross_cats_sorted":["math.AT","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-05T06:12:19Z","title_canon_sha256":"8f99d477cc93163d4f0a4fb3be527a26b2b750812f39b6461f692ecd6f239f9d"},"schema_version":"1.0","source":{"id":"1401.0868","kind":"arxiv","version":3}},"canonical_sha256":"422b68be6db84882a5167337cf3ac240db066c5caeb63d6bf1e9747119c65df5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"422b68be6db84882a5167337cf3ac240db066c5caeb63d6bf1e9747119c65df5","first_computed_at":"2026-05-18T00:42:39.976369Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:39.976369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yFp3csD3I7hVx3aTs8RHUZXvWgRtndb2UrWlsR370ENJ31JbeFL9G9pK1Zt0amAmwvueTOHt2gYgTm8rpfOqCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:39.976914Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0868","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9eb95f4ab5fcdc9646ddc5200a6fa086525077a20e3d8215ef977410b170cafb","sha256:2f99fc6253cae7fde46c6d9e751d94183562d8bc07d386e6d8caf73a29b356c1"],"state_sha256":"fb5ff1e869cefc18ab8c424901dc1f8e2bc202223730506b0b54cdb5587590d5"}