{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GJFCZN73ZTUMUNTOB7LWQAJVQL","short_pith_number":"pith:GJFCZN73","canonical_record":{"source":{"id":"1610.08487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-26T19:47:10Z","cross_cats_sorted":[],"title_canon_sha256":"6345f8552987c1a9c358fa8c569c64dd3207c3fa2541db5dd711060ad9bee317","abstract_canon_sha256":"a26c90f1dc726cfda80c801bb8e28f7b7299ed2d19a77493b759806639149192"},"schema_version":"1.0"},"canonical_sha256":"324a2cb7fbcce8ca366e0fd768013582dc385902cbda004532f7479cd572bb39","source":{"kind":"arxiv","id":"1610.08487","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08487","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08487v1","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08487","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"GJFCZN73ZTUM","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GJFCZN73ZTUMUNTO","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GJFCZN73","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GJFCZN73ZTUMUNTOB7LWQAJVQL","target":"record","payload":{"canonical_record":{"source":{"id":"1610.08487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-26T19:47:10Z","cross_cats_sorted":[],"title_canon_sha256":"6345f8552987c1a9c358fa8c569c64dd3207c3fa2541db5dd711060ad9bee317","abstract_canon_sha256":"a26c90f1dc726cfda80c801bb8e28f7b7299ed2d19a77493b759806639149192"},"schema_version":"1.0"},"canonical_sha256":"324a2cb7fbcce8ca366e0fd768013582dc385902cbda004532f7479cd572bb39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:09.289960Z","signature_b64":"g3rjUh3vgNw1hiAZNYQswtRf0Y7cVV/dnHLXJ06j+TGuEHKbfYCSJMGFjSu0hL29OxhWv3W/Euy/1GLzhjhEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"324a2cb7fbcce8ca366e0fd768013582dc385902cbda004532f7479cd572bb39","last_reissued_at":"2026-05-18T01:01:09.289271Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:09.289271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.08487","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":"2026-05-18T01:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uBvApqKFmgI+/62V5g5zFlJoarA6h1Rgq1Imk+b5oxuXd6Hx+QB6/BvAqz31vmN7FaX43J3k2/9I5ygRIv1sDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:42:31.679261Z"},"content_sha256":"5795d6c4ae83a66a2fa2247cb2a93388ec6c0685ae1dda8bc91def5eb827dc9e","schema_version":"1.0","event_id":"sha256:5795d6c4ae83a66a2fa2247cb2a93388ec6c0685ae1dda8bc91def5eb827dc9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GJFCZN73ZTUMUNTOB7LWQAJVQL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A recursive formula for the motivic Milnor fiber of a plane curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gary Kennedy, Lee J. McEwan, Manuel Gonz\\'alez Villa","submitted_at":"2016-10-26T19:47:10Z","abstract_excerpt":"We find a recursive formula for the motivic Milnor fiber of an irreducible plane curve, using the notions of a truncation and derived curve. We then apply natural transformations to obtain a similar recursion for the Hodge-theoretic spectrum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08487","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":"2026-05-18T01:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0YUcKkBIWWDYgeREk/n/IbMp93N0QRUIX+zGPjpSpF45JDB/OVgPdMwJJ4WFdLxaDJP11yjPvIG1iaG5tvkGCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:42:31.679665Z"},"content_sha256":"2bcc335e6a18ff90f7fc84ae2dceda8d78afb9aaaed85a96a4f828907551f829","schema_version":"1.0","event_id":"sha256:2bcc335e6a18ff90f7fc84ae2dceda8d78afb9aaaed85a96a4f828907551f829"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GJFCZN73ZTUMUNTOB7LWQAJVQL/bundle.json","state_url":"https://pith.science/pith/GJFCZN73ZTUMUNTOB7LWQAJVQL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GJFCZN73ZTUMUNTOB7LWQAJVQL/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":"2026-06-09T07:42:31Z","links":{"resolver":"https://pith.science/pith/GJFCZN73ZTUMUNTOB7LWQAJVQL","bundle":"https://pith.science/pith/GJFCZN73ZTUMUNTOB7LWQAJVQL/bundle.json","state":"https://pith.science/pith/GJFCZN73ZTUMUNTOB7LWQAJVQL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GJFCZN73ZTUMUNTOB7LWQAJVQL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GJFCZN73ZTUMUNTOB7LWQAJVQL","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":"a26c90f1dc726cfda80c801bb8e28f7b7299ed2d19a77493b759806639149192","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-26T19:47:10Z","title_canon_sha256":"6345f8552987c1a9c358fa8c569c64dd3207c3fa2541db5dd711060ad9bee317"},"schema_version":"1.0","source":{"id":"1610.08487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08487","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08487v1","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08487","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"GJFCZN73ZTUM","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GJFCZN73ZTUMUNTO","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GJFCZN73","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:2bcc335e6a18ff90f7fc84ae2dceda8d78afb9aaaed85a96a4f828907551f829","target":"graph","created_at":"2026-05-18T01:01:09Z","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 find a recursive formula for the motivic Milnor fiber of an irreducible plane curve, using the notions of a truncation and derived curve. We then apply natural transformations to obtain a similar recursion for the Hodge-theoretic spectrum.","authors_text":"Gary Kennedy, Lee J. McEwan, Manuel Gonz\\'alez Villa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-26T19:47:10Z","title":"A recursive formula for the motivic Milnor fiber of a plane curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08487","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":"sha256:5795d6c4ae83a66a2fa2247cb2a93388ec6c0685ae1dda8bc91def5eb827dc9e","target":"record","created_at":"2026-05-18T01:01:09Z","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":"a26c90f1dc726cfda80c801bb8e28f7b7299ed2d19a77493b759806639149192","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-26T19:47:10Z","title_canon_sha256":"6345f8552987c1a9c358fa8c569c64dd3207c3fa2541db5dd711060ad9bee317"},"schema_version":"1.0","source":{"id":"1610.08487","kind":"arxiv","version":1}},"canonical_sha256":"324a2cb7fbcce8ca366e0fd768013582dc385902cbda004532f7479cd572bb39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"324a2cb7fbcce8ca366e0fd768013582dc385902cbda004532f7479cd572bb39","first_computed_at":"2026-05-18T01:01:09.289271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:09.289271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g3rjUh3vgNw1hiAZNYQswtRf0Y7cVV/dnHLXJ06j+TGuEHKbfYCSJMGFjSu0hL29OxhWv3W/Euy/1GLzhjhEAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:09.289960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.08487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5795d6c4ae83a66a2fa2247cb2a93388ec6c0685ae1dda8bc91def5eb827dc9e","sha256:2bcc335e6a18ff90f7fc84ae2dceda8d78afb9aaaed85a96a4f828907551f829"],"state_sha256":"2b33e577b3cf0a5a5c4bed500e2e848cd7109101c3b063a55d607e624590bf8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GYIbE5jb9M54UPiS+krwlqIpPrgJ3bRVTUH02yv12IQ1fI3Hxj7fiudmTga/I2r8bJeokhsQ9ibPHUUvxWC1AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T07:42:31.681614Z","bundle_sha256":"4c6794a2f5b4cf9bd709b4449b3d6355020d57c43507b41191dc4f200e69cab9"}}