{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:V7SXQETQKQKENEKT42LEZTQWTI","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":"07473256d1d152eea5db06edf4613c24c270e7c2cc20424d5f2053d5f790de17","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2007-11-19T03:15:37Z","title_canon_sha256":"ba4c1a4d5e4944e89d8b650eb16d4a12e20dde7ec8b1180e716819de1d5b817d"},"schema_version":"1.0","source":{"id":"0711.2833","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.2833","created_at":"2026-05-18T04:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"0711.2833v1","created_at":"2026-05-18T04:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.2833","created_at":"2026-05-18T04:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"V7SXQETQKQKE","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"V7SXQETQKQKENEKT","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"V7SXQETQ","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:c45854783fb0b549b49dd6c34fc4e850391dd79c6b81efaaad1e1fc966e5c12f","target":"graph","created_at":"2026-05-18T04:05:47Z","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 characterize plane curve germes non-degenerate in Kouchnirenko's sense in terms of characteristics and intersection multiplicities of branches.","authors_text":"Andrzej Lenarcik, Arkadiusz P{\\l}oski, Evelia R. Garc\\'ia Barroso","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2007-11-19T03:15:37Z","title":"Characterization of non-degenerate plane curve singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.2833","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":"sha256:7da691d727fa36e5bfd6bf8576d89b8f074e8d072d30e16efd65f0ba9afcc5b4","target":"record","created_at":"2026-05-18T04:05:47Z","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":"07473256d1d152eea5db06edf4613c24c270e7c2cc20424d5f2053d5f790de17","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2007-11-19T03:15:37Z","title_canon_sha256":"ba4c1a4d5e4944e89d8b650eb16d4a12e20dde7ec8b1180e716819de1d5b817d"},"schema_version":"1.0","source":{"id":"0711.2833","kind":"arxiv","version":1}},"canonical_sha256":"afe57812705414469153e6964cce169a384e0e00ba59e4fd18539ef37343f3a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afe57812705414469153e6964cce169a384e0e00ba59e4fd18539ef37343f3a9","first_computed_at":"2026-05-18T04:05:47.031121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:47.031121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KBrjJWe9HXACCtvU/LfAosYh4/suDRkuykzwBXdUq4JIN8VP/OPoYLg7AoVURPMSdqTDMdSytLiDHRoupE5eBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:47.031486Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.2833","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7da691d727fa36e5bfd6bf8576d89b8f074e8d072d30e16efd65f0ba9afcc5b4","sha256:c45854783fb0b549b49dd6c34fc4e850391dd79c6b81efaaad1e1fc966e5c12f"],"state_sha256":"6cb12c40520e174c36d2fedacd639215ee1dba81e5ec63aadf6caa744e053f56"}