{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MUMML3F26OWYNO355ZXUSMWZCP","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":"1f88498b837c44b5c6b76977b1ad4fdb24db06fb4fdf258eb5aaf661013cfa6a","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-12T08:55:39Z","title_canon_sha256":"0a41f122c1083c14cf8a37a55615fe4f5763ca5ece6886be46628f92e72570e5"},"schema_version":"1.0","source":{"id":"1107.2214","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2214","created_at":"2026-05-18T03:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2214v2","created_at":"2026-05-18T03:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2214","created_at":"2026-05-18T03:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"MUMML3F26OWY","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MUMML3F26OWYNO35","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MUMML3F2","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:c228282f9e751bac1341db7b2cdd7080537c22a76e6c19a500513cf06a8905f2","target":"graph","created_at":"2026-05-18T03:38:46Z","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 show that the monodromy operator action on the first cohomology group of the Milnor fiber is combinatorially determined for line arrangements with at most triple points and containing at most 18 lines, with one possible exception.","authors_text":"Alexandru Dimca","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-12T08:55:39Z","title":"Monodromy of triple point line arrangements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2214","kind":"arxiv","version":2},"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:b4eb86fc5e1e6cdb4044aaa8334eb41a9fcaa0cd62b87c17a83c4160ca797751","target":"record","created_at":"2026-05-18T03:38:46Z","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":"1f88498b837c44b5c6b76977b1ad4fdb24db06fb4fdf258eb5aaf661013cfa6a","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-12T08:55:39Z","title_canon_sha256":"0a41f122c1083c14cf8a37a55615fe4f5763ca5ece6886be46628f92e72570e5"},"schema_version":"1.0","source":{"id":"1107.2214","kind":"arxiv","version":2}},"canonical_sha256":"6518c5ecbaf3ad86bb7dee6f4932d913f6e2cca956a2b8f063654dc9e082cbf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6518c5ecbaf3ad86bb7dee6f4932d913f6e2cca956a2b8f063654dc9e082cbf8","first_computed_at":"2026-05-18T03:38:46.438599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:46.438599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"npOqG4Z8JoJJtp7gWnH/0QycrSSCDt+cgHTGFemEOxsyxwZm5KDpYPU3Bs7BYA6+7FRpahe+3dTvhYaIFe1hAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:46.439383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2214","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4eb86fc5e1e6cdb4044aaa8334eb41a9fcaa0cd62b87c17a83c4160ca797751","sha256:c228282f9e751bac1341db7b2cdd7080537c22a76e6c19a500513cf06a8905f2"],"state_sha256":"54ed6f56604dfcd60a25d02117b6c52476d7043d5263b83d904ce6fa4e2fc910"}