{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VI75BXIKW6FFF3MKGWC24BQHTO","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":"72ebe88b0818ee753547e103cdc9e18b869beea1770f6dc92a1f39c1d4b1c028","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-18T22:31:13Z","title_canon_sha256":"6182dc05f89dd8449a1c43afa9cc09d26731b7737838f539f0fcac619f47a8a6"},"schema_version":"1.0","source":{"id":"1103.3723","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.3723","created_at":"2026-05-18T02:22:18Z"},{"alias_kind":"arxiv_version","alias_value":"1103.3723v2","created_at":"2026-05-18T02:22:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.3723","created_at":"2026-05-18T02:22:18Z"},{"alias_kind":"pith_short_12","alias_value":"VI75BXIKW6FF","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VI75BXIKW6FFF3MK","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VI75BXIK","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:0a58768705b297c7dbfc98c18fede0b9de72604494c8c4fc5458da7df39159e6","target":"graph","created_at":"2026-05-18T02:22:18Z","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 prove that the jacobian Newton diagram of the holomorphic mapping $(f,g):(C^2,0)\\to(C^2,0)$ depends only on the equisingularity class of the pair of curves $f=0$ and $g=0$.","authors_text":"Janusz Gwozdziewicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-18T22:31:13Z","title":"Invariance of the jacobian Newton diagram"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.3723","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":"sha256:6350a723e8227a0e8f509fdf54a056816e4318bae834fa91b22df61b45b36309","target":"record","created_at":"2026-05-18T02:22:18Z","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":"72ebe88b0818ee753547e103cdc9e18b869beea1770f6dc92a1f39c1d4b1c028","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-18T22:31:13Z","title_canon_sha256":"6182dc05f89dd8449a1c43afa9cc09d26731b7737838f539f0fcac619f47a8a6"},"schema_version":"1.0","source":{"id":"1103.3723","kind":"arxiv","version":2}},"canonical_sha256":"aa3fd0dd0ab78a52ed8a3585ae06079baf70096ade878c7d5a8da6537737a76d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa3fd0dd0ab78a52ed8a3585ae06079baf70096ade878c7d5a8da6537737a76d","first_computed_at":"2026-05-18T02:22:18.174886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:18.174886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Fxi55D2fte7vxFoVy/uI73VIy65nngjGe9TNZtdOIhv1NWei0YZSo3+lBdSF6mW396dmmRTX0eqXuIM0XPEDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:18.175501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.3723","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6350a723e8227a0e8f509fdf54a056816e4318bae834fa91b22df61b45b36309","sha256:0a58768705b297c7dbfc98c18fede0b9de72604494c8c4fc5458da7df39159e6"],"state_sha256":"41ec3b7e3b2e5fa70e5f9f36a5c92f987ad437a7d0701cdebfd5a86567de9364"}