{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3XGNDSEXNUZRVUMWBBB5QOKIK4","short_pith_number":"pith:3XGNDSEX","canonical_record":{"source":{"id":"1401.6032","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-23T16:10:22Z","cross_cats_sorted":[],"title_canon_sha256":"d0b678edcdf0c7c5202609a5366b209d5e45e148505c26eecb7012761c6da9e4","abstract_canon_sha256":"d5bc4f7a5e5ee426a24d5ee2736551c2d40f79b8acecae2dacd8ee05b7183100"},"schema_version":"1.0"},"canonical_sha256":"ddccd1c8976d331ad1960843d839485723233a87bd0339a282a44edafe4344b1","source":{"kind":"arxiv","id":"1401.6032","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6032","created_at":"2026-05-18T02:54:55Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6032v2","created_at":"2026-05-18T02:54:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6032","created_at":"2026-05-18T02:54:55Z"},{"alias_kind":"pith_short_12","alias_value":"3XGNDSEXNUZR","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3XGNDSEXNUZRVUMW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3XGNDSEX","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3XGNDSEXNUZRVUMWBBB5QOKIK4","target":"record","payload":{"canonical_record":{"source":{"id":"1401.6032","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-23T16:10:22Z","cross_cats_sorted":[],"title_canon_sha256":"d0b678edcdf0c7c5202609a5366b209d5e45e148505c26eecb7012761c6da9e4","abstract_canon_sha256":"d5bc4f7a5e5ee426a24d5ee2736551c2d40f79b8acecae2dacd8ee05b7183100"},"schema_version":"1.0"},"canonical_sha256":"ddccd1c8976d331ad1960843d839485723233a87bd0339a282a44edafe4344b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:55.818151Z","signature_b64":"37q8Is5E9hjWSolduddXDiMalVAeR1MndCyzEfmMtZ09vNuBLLBJFcDT6F5dq21+0Eq68mVGvB+h1gzWg8pBBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddccd1c8976d331ad1960843d839485723233a87bd0339a282a44edafe4344b1","last_reissued_at":"2026-05-18T02:54:55.817704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:55.817704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.6032","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IrVnJM+pS2kd2OwXB9EH8mohL3b7r1UsOyVqTB1wQiou6MtMhbHwLytD4NUBIO+7AHI9kBDcoYxeJde+r3DpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:23:52.474950Z"},"content_sha256":"66257adc9de55f90bb457686fe5f178a4140c2a94dcdca5d0a9f6fdd547dbe23","schema_version":"1.0","event_id":"sha256:66257adc9de55f90bb457686fe5f178a4140c2a94dcdca5d0a9f6fdd547dbe23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3XGNDSEXNUZRVUMWBBB5QOKIK4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Plane Curves with Double and Triple Points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Nancy Abdallah","submitted_at":"2014-01-23T16:10:22Z","abstract_excerpt":"We describe in simple geometric terms the Hodge filtration on the cohomology groups of the complement U in the projective plane of a curve C with ordinary double and triple points. Relations to Milnor algebra, syzygies of the Jacobian ideal and pole order filtration on the second cohomology of U are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6032","kind":"arxiv","version":2},"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":"2026-05-18T02:54:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hSlWzXOA8lmwD7GKrtfHhGAcDR8sGJnd/ujdi4ji2wpqDW2SFW1X6DwK0+7T7BMqeDGJiaip9FcF9jZBN+DaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:23:52.475625Z"},"content_sha256":"28b5c2ca212774bdee962664a3c43e1755afa1fc1864d2eb9b050d58df416370","schema_version":"1.0","event_id":"sha256:28b5c2ca212774bdee962664a3c43e1755afa1fc1864d2eb9b050d58df416370"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3XGNDSEXNUZRVUMWBBB5QOKIK4/bundle.json","state_url":"https://pith.science/pith/3XGNDSEXNUZRVUMWBBB5QOKIK4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3XGNDSEXNUZRVUMWBBB5QOKIK4/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":"2026-06-23T13:23:52Z","links":{"resolver":"https://pith.science/pith/3XGNDSEXNUZRVUMWBBB5QOKIK4","bundle":"https://pith.science/pith/3XGNDSEXNUZRVUMWBBB5QOKIK4/bundle.json","state":"https://pith.science/pith/3XGNDSEXNUZRVUMWBBB5QOKIK4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3XGNDSEXNUZRVUMWBBB5QOKIK4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3XGNDSEXNUZRVUMWBBB5QOKIK4","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":"d5bc4f7a5e5ee426a24d5ee2736551c2d40f79b8acecae2dacd8ee05b7183100","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-23T16:10:22Z","title_canon_sha256":"d0b678edcdf0c7c5202609a5366b209d5e45e148505c26eecb7012761c6da9e4"},"schema_version":"1.0","source":{"id":"1401.6032","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6032","created_at":"2026-05-18T02:54:55Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6032v2","created_at":"2026-05-18T02:54:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6032","created_at":"2026-05-18T02:54:55Z"},{"alias_kind":"pith_short_12","alias_value":"3XGNDSEXNUZR","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3XGNDSEXNUZRVUMW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3XGNDSEX","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:28b5c2ca212774bdee962664a3c43e1755afa1fc1864d2eb9b050d58df416370","target":"graph","created_at":"2026-05-18T02:54:55Z","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 describe in simple geometric terms the Hodge filtration on the cohomology groups of the complement U in the projective plane of a curve C with ordinary double and triple points. Relations to Milnor algebra, syzygies of the Jacobian ideal and pole order filtration on the second cohomology of U are given.","authors_text":"Nancy Abdallah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-23T16:10:22Z","title":"On Plane Curves with Double and Triple Points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6032","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":"sha256:66257adc9de55f90bb457686fe5f178a4140c2a94dcdca5d0a9f6fdd547dbe23","target":"record","created_at":"2026-05-18T02:54:55Z","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":"d5bc4f7a5e5ee426a24d5ee2736551c2d40f79b8acecae2dacd8ee05b7183100","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-23T16:10:22Z","title_canon_sha256":"d0b678edcdf0c7c5202609a5366b209d5e45e148505c26eecb7012761c6da9e4"},"schema_version":"1.0","source":{"id":"1401.6032","kind":"arxiv","version":2}},"canonical_sha256":"ddccd1c8976d331ad1960843d839485723233a87bd0339a282a44edafe4344b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddccd1c8976d331ad1960843d839485723233a87bd0339a282a44edafe4344b1","first_computed_at":"2026-05-18T02:54:55.817704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:55.817704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"37q8Is5E9hjWSolduddXDiMalVAeR1MndCyzEfmMtZ09vNuBLLBJFcDT6F5dq21+0Eq68mVGvB+h1gzWg8pBBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:55.818151Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.6032","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66257adc9de55f90bb457686fe5f178a4140c2a94dcdca5d0a9f6fdd547dbe23","sha256:28b5c2ca212774bdee962664a3c43e1755afa1fc1864d2eb9b050d58df416370"],"state_sha256":"c0aecb82ec26c182451ff109fe264acae1415ca3aee0b6d97f2a6c2e5199968c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NYUF2ocKgU/PDRaMvI0KAnhV2hzLpXK4QzU8q5470ufDJiJ1QSWI9RKCHaq/uaETxRgfnEKwpxLYpc+vHgM2Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T13:23:52.478581Z","bundle_sha256":"336f484b917b2c9c3b1f500e9dca2eaafd5dbbca745173c618878f731179a89e"}}