{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Q5L3AW6XSJMVZE3IFNWBROELBE","short_pith_number":"pith:Q5L3AW6X","canonical_record":{"source":{"id":"1409.3948","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AG","submitted_at":"2014-09-13T13:28:03Z","cross_cats_sorted":[],"title_canon_sha256":"c84f1227665574c58758ff1b8f97bc07e09aed53a3d64aac2209aba9d4c7a543","abstract_canon_sha256":"64611431b8b0a13dc2af91d8ca5c12c57c7c8548f6c8b32281548e1008d1890c"},"schema_version":"1.0"},"canonical_sha256":"8757b05bd792595c93682b6c18b88b0939ff4595cc06a2fb751db71bb6a7399d","source":{"kind":"arxiv","id":"1409.3948","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3948","created_at":"2026-05-18T02:42:53Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3948v1","created_at":"2026-05-18T02:42:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3948","created_at":"2026-05-18T02:42:53Z"},{"alias_kind":"pith_short_12","alias_value":"Q5L3AW6XSJMV","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"Q5L3AW6XSJMVZE3I","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"Q5L3AW6X","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Q5L3AW6XSJMVZE3IFNWBROELBE","target":"record","payload":{"canonical_record":{"source":{"id":"1409.3948","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AG","submitted_at":"2014-09-13T13:28:03Z","cross_cats_sorted":[],"title_canon_sha256":"c84f1227665574c58758ff1b8f97bc07e09aed53a3d64aac2209aba9d4c7a543","abstract_canon_sha256":"64611431b8b0a13dc2af91d8ca5c12c57c7c8548f6c8b32281548e1008d1890c"},"schema_version":"1.0"},"canonical_sha256":"8757b05bd792595c93682b6c18b88b0939ff4595cc06a2fb751db71bb6a7399d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:53.346161Z","signature_b64":"uId9SjVFDNEggTtzEtOdeHlEXWtTMKxmS3JY6XR5wKwVSt+pXjMsTh+Hm1jWLy2SCNOHmT/CPmhFGnWARDPXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8757b05bd792595c93682b6c18b88b0939ff4595cc06a2fb751db71bb6a7399d","last_reissued_at":"2026-05-18T02:42:53.345770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:53.345770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.3948","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":"2026-05-18T02:42:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kcs9M6aRiZg0FarPg9ieOxU8O+UkKi3Yrzz6H2xcnXTvH+sQvpliGp/0Hnl9cEeaP4lNvjWfxRPhUrbWoIy5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:34:46.481490Z"},"content_sha256":"201986226f41cc134d407634e18cf66dc01cc9fcfc1286642354088a30559272","schema_version":"1.0","event_id":"sha256:201986226f41cc134d407634e18cf66dc01cc9fcfc1286642354088a30559272"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Q5L3AW6XSJMVZE3IFNWBROELBE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Resolution Graph of a Plane Curve","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Joao Cabral, Orlando Neto, Pedro C. Silva","submitted_at":"2014-09-13T13:28:03Z","abstract_excerpt":"We show that the resolution graph of a plane curve singularity admits a canonical decomposition into elementary graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3948","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":"2026-05-18T02:42:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cfI4RYPdnaDqNnhX/Qz1WMrq8T3r4kW69Kot/eQyPU2x9v4HdGhj8YpxlWDXxt5Gni1Rv+48T360YSpCAVHHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:34:46.481826Z"},"content_sha256":"5421d95b7f3a53538f06b18b47e4e8802ece990faa6ecefcaed009cad1382c1b","schema_version":"1.0","event_id":"sha256:5421d95b7f3a53538f06b18b47e4e8802ece990faa6ecefcaed009cad1382c1b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5L3AW6XSJMVZE3IFNWBROELBE/bundle.json","state_url":"https://pith.science/pith/Q5L3AW6XSJMVZE3IFNWBROELBE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5L3AW6XSJMVZE3IFNWBROELBE/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":"2026-06-08T19:34:46Z","links":{"resolver":"https://pith.science/pith/Q5L3AW6XSJMVZE3IFNWBROELBE","bundle":"https://pith.science/pith/Q5L3AW6XSJMVZE3IFNWBROELBE/bundle.json","state":"https://pith.science/pith/Q5L3AW6XSJMVZE3IFNWBROELBE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5L3AW6XSJMVZE3IFNWBROELBE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Q5L3AW6XSJMVZE3IFNWBROELBE","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":"64611431b8b0a13dc2af91d8ca5c12c57c7c8548f6c8b32281548e1008d1890c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AG","submitted_at":"2014-09-13T13:28:03Z","title_canon_sha256":"c84f1227665574c58758ff1b8f97bc07e09aed53a3d64aac2209aba9d4c7a543"},"schema_version":"1.0","source":{"id":"1409.3948","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3948","created_at":"2026-05-18T02:42:53Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3948v1","created_at":"2026-05-18T02:42:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3948","created_at":"2026-05-18T02:42:53Z"},{"alias_kind":"pith_short_12","alias_value":"Q5L3AW6XSJMV","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"Q5L3AW6XSJMVZE3I","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"Q5L3AW6X","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:5421d95b7f3a53538f06b18b47e4e8802ece990faa6ecefcaed009cad1382c1b","target":"graph","created_at":"2026-05-18T02:42:53Z","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 show that the resolution graph of a plane curve singularity admits a canonical decomposition into elementary graphs.","authors_text":"Joao Cabral, Orlando Neto, Pedro C. Silva","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AG","submitted_at":"2014-09-13T13:28:03Z","title":"On the Resolution Graph of a Plane Curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3948","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":"sha256:201986226f41cc134d407634e18cf66dc01cc9fcfc1286642354088a30559272","target":"record","created_at":"2026-05-18T02:42:53Z","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":"64611431b8b0a13dc2af91d8ca5c12c57c7c8548f6c8b32281548e1008d1890c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AG","submitted_at":"2014-09-13T13:28:03Z","title_canon_sha256":"c84f1227665574c58758ff1b8f97bc07e09aed53a3d64aac2209aba9d4c7a543"},"schema_version":"1.0","source":{"id":"1409.3948","kind":"arxiv","version":1}},"canonical_sha256":"8757b05bd792595c93682b6c18b88b0939ff4595cc06a2fb751db71bb6a7399d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8757b05bd792595c93682b6c18b88b0939ff4595cc06a2fb751db71bb6a7399d","first_computed_at":"2026-05-18T02:42:53.345770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:53.345770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uId9SjVFDNEggTtzEtOdeHlEXWtTMKxmS3JY6XR5wKwVSt+pXjMsTh+Hm1jWLy2SCNOHmT/CPmhFGnWARDPXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:53.346161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3948","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:201986226f41cc134d407634e18cf66dc01cc9fcfc1286642354088a30559272","sha256:5421d95b7f3a53538f06b18b47e4e8802ece990faa6ecefcaed009cad1382c1b"],"state_sha256":"6792fc85c60047d67646f7246a60a9030b1559f7ef6b82bf96d56f375bebc161"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xNWMKcPiY6AQ8smmCokHYgxrq3FhcuGgV3c5q7aZw63IO7TGPNnQ1UeVNx7vKAwuP67/7hv5ob/3CQ/m4qHJAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:34:46.483711Z","bundle_sha256":"8b07d53a7cfb90b2982c2211a5d1e41a6e5319e65c221ca2821d5d8a9ba2f473"}}