{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:DBQYGQUJ6Z6PJTDAMAPQQB2QCO","short_pith_number":"pith:DBQYGQUJ","canonical_record":{"source":{"id":"1207.4202","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-17T20:01:01Z","cross_cats_sorted":[],"title_canon_sha256":"ab4e5bce2c8c4998f0392e193ea920a2015bc43db601ab4b1a25b47aec7df711","abstract_canon_sha256":"6240ad63900041702fc130829b534e18efb104cf8b06451c2cb83e626338902f"},"schema_version":"1.0"},"canonical_sha256":"1861834289f67cf4cc60601f08075013af76e971ad63919865dcf0479fbe8463","source":{"kind":"arxiv","id":"1207.4202","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4202","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4202v2","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4202","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"DBQYGQUJ6Z6P","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DBQYGQUJ6Z6PJTDA","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DBQYGQUJ","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:DBQYGQUJ6Z6PJTDAMAPQQB2QCO","target":"record","payload":{"canonical_record":{"source":{"id":"1207.4202","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-17T20:01:01Z","cross_cats_sorted":[],"title_canon_sha256":"ab4e5bce2c8c4998f0392e193ea920a2015bc43db601ab4b1a25b47aec7df711","abstract_canon_sha256":"6240ad63900041702fc130829b534e18efb104cf8b06451c2cb83e626338902f"},"schema_version":"1.0"},"canonical_sha256":"1861834289f67cf4cc60601f08075013af76e971ad63919865dcf0479fbe8463","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:12.240615Z","signature_b64":"6D3h7dbbhV4ntAojfm3cpYBUht8L9ExSjlRpUcXTe9R1eD9ENsvktShMJ5kL9jxWRfd/PKedWX44GsUdKsL0Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1861834289f67cf4cc60601f08075013af76e971ad63919865dcf0479fbe8463","last_reissued_at":"2026-05-18T00:25:12.240069Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:12.240069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.4202","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":"2026-05-18T00:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+pDyqIwPD+NaxvaCuTlByIyZKDJctRe9/LsWoRdaITsoNoHxXvkpO5/4SC/hjkUgjTr+knWUXWkrmuwrvSqKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:34:38.774842Z"},"content_sha256":"76dc7e7e9450fd6ec86c89fd8019dc752fc6aa65d6f0551462c7627f985ed774","schema_version":"1.0","event_id":"sha256:76dc7e7e9450fd6ec86c89fd8019dc752fc6aa65d6f0551462c7627f985ed774"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:DBQYGQUJ6Z6PJTDAMAPQQB2QCO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Splayed divisors and their Chern classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eleonore Faber, Paolo Aluffi","submitted_at":"2012-07-17T20:01:01Z","abstract_excerpt":"We obtain several new characterizations of splayedness for divisors: a Leibniz property for ideals of singularity subschemes, the vanishing of a `splayedness' module, and the requirements that certain natural morphisms of modules and sheaves of logarithmic derivations and logarithmic differentials be isomorphisms. We also consider the effect of splayedness on the Chern classes of sheaves of differential forms with logarithmic poles along splayed divisors, as well as on the Chern-Schwartz-MacPherson classes of the complements of these divisors. A postulated relation between these different noti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4202","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":"2026-05-18T00:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YJKg90pCqjD/g714BEA0kQ+SXbsNlRPOlCWznmuCnhuQlb8R2nJC2t6L1pZQzM/094+g2u99hDntElF3vie+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:34:38.775185Z"},"content_sha256":"aa383c844d2dd1f2e09bda270b3caa10b8896f18c72b5c1bdb39e7e3ee6dc81c","schema_version":"1.0","event_id":"sha256:aa383c844d2dd1f2e09bda270b3caa10b8896f18c72b5c1bdb39e7e3ee6dc81c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DBQYGQUJ6Z6PJTDAMAPQQB2QCO/bundle.json","state_url":"https://pith.science/pith/DBQYGQUJ6Z6PJTDAMAPQQB2QCO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DBQYGQUJ6Z6PJTDAMAPQQB2QCO/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":"2026-05-31T02:34:38Z","links":{"resolver":"https://pith.science/pith/DBQYGQUJ6Z6PJTDAMAPQQB2QCO","bundle":"https://pith.science/pith/DBQYGQUJ6Z6PJTDAMAPQQB2QCO/bundle.json","state":"https://pith.science/pith/DBQYGQUJ6Z6PJTDAMAPQQB2QCO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DBQYGQUJ6Z6PJTDAMAPQQB2QCO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DBQYGQUJ6Z6PJTDAMAPQQB2QCO","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":"6240ad63900041702fc130829b534e18efb104cf8b06451c2cb83e626338902f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-17T20:01:01Z","title_canon_sha256":"ab4e5bce2c8c4998f0392e193ea920a2015bc43db601ab4b1a25b47aec7df711"},"schema_version":"1.0","source":{"id":"1207.4202","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4202","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4202v2","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4202","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"DBQYGQUJ6Z6P","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DBQYGQUJ6Z6PJTDA","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DBQYGQUJ","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:aa383c844d2dd1f2e09bda270b3caa10b8896f18c72b5c1bdb39e7e3ee6dc81c","target":"graph","created_at":"2026-05-18T00:25:12Z","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 obtain several new characterizations of splayedness for divisors: a Leibniz property for ideals of singularity subschemes, the vanishing of a `splayedness' module, and the requirements that certain natural morphisms of modules and sheaves of logarithmic derivations and logarithmic differentials be isomorphisms. We also consider the effect of splayedness on the Chern classes of sheaves of differential forms with logarithmic poles along splayed divisors, as well as on the Chern-Schwartz-MacPherson classes of the complements of these divisors. A postulated relation between these different noti","authors_text":"Eleonore Faber, Paolo Aluffi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-17T20:01:01Z","title":"Splayed divisors and their Chern classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4202","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":"sha256:76dc7e7e9450fd6ec86c89fd8019dc752fc6aa65d6f0551462c7627f985ed774","target":"record","created_at":"2026-05-18T00:25:12Z","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":"6240ad63900041702fc130829b534e18efb104cf8b06451c2cb83e626338902f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-17T20:01:01Z","title_canon_sha256":"ab4e5bce2c8c4998f0392e193ea920a2015bc43db601ab4b1a25b47aec7df711"},"schema_version":"1.0","source":{"id":"1207.4202","kind":"arxiv","version":2}},"canonical_sha256":"1861834289f67cf4cc60601f08075013af76e971ad63919865dcf0479fbe8463","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1861834289f67cf4cc60601f08075013af76e971ad63919865dcf0479fbe8463","first_computed_at":"2026-05-18T00:25:12.240069Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:12.240069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6D3h7dbbhV4ntAojfm3cpYBUht8L9ExSjlRpUcXTe9R1eD9ENsvktShMJ5kL9jxWRfd/PKedWX44GsUdKsL0Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:12.240615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4202","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76dc7e7e9450fd6ec86c89fd8019dc752fc6aa65d6f0551462c7627f985ed774","sha256:aa383c844d2dd1f2e09bda270b3caa10b8896f18c72b5c1bdb39e7e3ee6dc81c"],"state_sha256":"72a99688925a7caa8a5903e5805fe4928d4919573dd8509550567b8e72536069"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4bS6pttySSgAbuBm9Z1slI2XXwyp3KybYgigmX7QmZfAKvTrAKwlrUswfm9OFXLX8Rx/irVHsEq4cC//6VeADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T02:34:38.777237Z","bundle_sha256":"78e98dfa1a59cfe42bb85389ae6e1291c8d87e20729dc38f2300e07ee9892323"}}