{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CVMI7ZI5M7QSPVESFZ7KHPQX6O","short_pith_number":"pith:CVMI7ZI5","canonical_record":{"source":{"id":"1606.04858","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-15T16:47:56Z","cross_cats_sorted":[],"title_canon_sha256":"0bc6e9f25b7ba2201ad51d6a71e5370b55e2d36570ca3ab61ed448f400ef455c","abstract_canon_sha256":"a7202847507b6f4ef607369fd0f010a33f14a5a3ef6bdb88fe5e3400053eb373"},"schema_version":"1.0"},"canonical_sha256":"15588fe51d67e127d4922e7ea3be17f392351684392bf9b8228ff840cc107e84","source":{"kind":"arxiv","id":"1606.04858","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.04858","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1606.04858v1","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04858","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"CVMI7ZI5M7QS","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CVMI7ZI5M7QSPVES","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CVMI7ZI5","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CVMI7ZI5M7QSPVESFZ7KHPQX6O","target":"record","payload":{"canonical_record":{"source":{"id":"1606.04858","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-15T16:47:56Z","cross_cats_sorted":[],"title_canon_sha256":"0bc6e9f25b7ba2201ad51d6a71e5370b55e2d36570ca3ab61ed448f400ef455c","abstract_canon_sha256":"a7202847507b6f4ef607369fd0f010a33f14a5a3ef6bdb88fe5e3400053eb373"},"schema_version":"1.0"},"canonical_sha256":"15588fe51d67e127d4922e7ea3be17f392351684392bf9b8228ff840cc107e84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:23.248751Z","signature_b64":"xGswh9PE8IwAfoKR4IHflXo9TyEvgaWNQwt5+F1+4WDGz6nJPpY3hrRaJ8s8CAlC0dCWN5ZnOvW7I94V1YwGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15588fe51d67e127d4922e7ea3be17f392351684392bf9b8228ff840cc107e84","last_reissued_at":"2026-05-18T01:12:23.248413Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:23.248413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.04858","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kuShvsTCEjT+uQcALVZnet6hbsSuLriXzh2XLqgqnOA7pdKSVFds2+gECynX8ijkPMm6AYba9W6ob9VcIidDDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:19:13.987609Z"},"content_sha256":"65221c4e5ae8f65c7fc4c0ce1ad5bb77d34c4a08406a876fbe8bb4e8ee734e06","schema_version":"1.0","event_id":"sha256:65221c4e5ae8f65c7fc4c0ce1ad5bb77d34c4a08406a876fbe8bb4e8ee734e06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CVMI7ZI5M7QSPVESFZ7KHPQX6O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On two pencils of cubic curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Pauline Bailet","submitted_at":"2016-06-15T16:47:56Z","abstract_excerpt":"We give two examples of plane curve arrangements of pencil type which are very close to line arrangements, though the action of the monodromy operator on the first cohomology group of the Milnor Fiber has eigenvalues of order 5 and 6, showing that surprising situations can occur for larger classes of curve arrangements than for line arrangements. Our computations rely on the algorithm given by A. Dimca and G. Sticlaru which detects the non trivial monodromy eigenspaces of free curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04858","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PYcMCOdaTCia2v0Jtl67MVWmwthgmZ5TseF9AXMoLM5yNiwJvw+7ocjroSabMvdSjhCJq4Z6aFqllMoEfpuEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:19:13.987962Z"},"content_sha256":"4f34a29727f01686341d627fcba446bcf0978837bee056af05ce3b5ea3b54167","schema_version":"1.0","event_id":"sha256:4f34a29727f01686341d627fcba446bcf0978837bee056af05ce3b5ea3b54167"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CVMI7ZI5M7QSPVESFZ7KHPQX6O/bundle.json","state_url":"https://pith.science/pith/CVMI7ZI5M7QSPVESFZ7KHPQX6O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CVMI7ZI5M7QSPVESFZ7KHPQX6O/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-01T07:19:13Z","links":{"resolver":"https://pith.science/pith/CVMI7ZI5M7QSPVESFZ7KHPQX6O","bundle":"https://pith.science/pith/CVMI7ZI5M7QSPVESFZ7KHPQX6O/bundle.json","state":"https://pith.science/pith/CVMI7ZI5M7QSPVESFZ7KHPQX6O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CVMI7ZI5M7QSPVESFZ7KHPQX6O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CVMI7ZI5M7QSPVESFZ7KHPQX6O","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":"a7202847507b6f4ef607369fd0f010a33f14a5a3ef6bdb88fe5e3400053eb373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-15T16:47:56Z","title_canon_sha256":"0bc6e9f25b7ba2201ad51d6a71e5370b55e2d36570ca3ab61ed448f400ef455c"},"schema_version":"1.0","source":{"id":"1606.04858","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.04858","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1606.04858v1","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04858","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"CVMI7ZI5M7QS","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CVMI7ZI5M7QSPVES","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CVMI7ZI5","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:4f34a29727f01686341d627fcba446bcf0978837bee056af05ce3b5ea3b54167","target":"graph","created_at":"2026-05-18T01:12:23Z","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 give two examples of plane curve arrangements of pencil type which are very close to line arrangements, though the action of the monodromy operator on the first cohomology group of the Milnor Fiber has eigenvalues of order 5 and 6, showing that surprising situations can occur for larger classes of curve arrangements than for line arrangements. Our computations rely on the algorithm given by A. Dimca and G. Sticlaru which detects the non trivial monodromy eigenspaces of free curves.","authors_text":"Pauline Bailet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-15T16:47:56Z","title":"On two pencils of cubic curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04858","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":"sha256:65221c4e5ae8f65c7fc4c0ce1ad5bb77d34c4a08406a876fbe8bb4e8ee734e06","target":"record","created_at":"2026-05-18T01:12:23Z","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":"a7202847507b6f4ef607369fd0f010a33f14a5a3ef6bdb88fe5e3400053eb373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-15T16:47:56Z","title_canon_sha256":"0bc6e9f25b7ba2201ad51d6a71e5370b55e2d36570ca3ab61ed448f400ef455c"},"schema_version":"1.0","source":{"id":"1606.04858","kind":"arxiv","version":1}},"canonical_sha256":"15588fe51d67e127d4922e7ea3be17f392351684392bf9b8228ff840cc107e84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15588fe51d67e127d4922e7ea3be17f392351684392bf9b8228ff840cc107e84","first_computed_at":"2026-05-18T01:12:23.248413Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:23.248413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xGswh9PE8IwAfoKR4IHflXo9TyEvgaWNQwt5+F1+4WDGz6nJPpY3hrRaJ8s8CAlC0dCWN5ZnOvW7I94V1YwGCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:23.248751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.04858","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65221c4e5ae8f65c7fc4c0ce1ad5bb77d34c4a08406a876fbe8bb4e8ee734e06","sha256:4f34a29727f01686341d627fcba446bcf0978837bee056af05ce3b5ea3b54167"],"state_sha256":"f3d16698bcf82689e8cfb20dc782de122807815de2cd9ca2140e9ada289ee93c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rzVDDy2XYberEzPAdY5cEAGaVFYB9u3Io6KUgdahDOZ3iOSieFrjNSx4rcQgwyb038OrR9CZa5UPTWKY5c7ZDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T07:19:13.990056Z","bundle_sha256":"309616d01768f6098fe00934703162f5de81c1ea4a14c867f67e477bf4efb27d"}}