{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:R4FTH3HRZYPA4SZVSWKDXG6AO7","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":"089d023ccb4ddc753b842cefba48faf5aa0765df3cf3b3c21d02112601c2a978","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-31T07:28:16Z","title_canon_sha256":"06a72b6db15a70eef375b9006edf8d658d1a190597597fa4f6f006065cb43de6"},"schema_version":"1.0","source":{"id":"1610.09808","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09808","created_at":"2026-05-18T01:00:47Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09808v1","created_at":"2026-05-18T01:00:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09808","created_at":"2026-05-18T01:00:47Z"},{"alias_kind":"pith_short_12","alias_value":"R4FTH3HRZYPA","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"R4FTH3HRZYPA4SZV","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"R4FTH3HR","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:e5b3912dcef2bcc5694c71517a722fa5c91df7048721999405137080a3172581","target":"graph","created_at":"2026-05-18T01:00:47Z","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 study differential geometric properties of cuspidal edges with boundary. There are several differential geometric invariants which are related with the behavior of the boundary in addition to usual differential geometric invariants of cuspidal edges. We study the relation of these invariants with several other invariants.","authors_text":"Kentaro Saji, Luciana F. Martins","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-31T07:28:16Z","title":"Geometry of cuspidal edges with boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09808","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:b549ef7b29a393d5dc228f3152d4d964915f3590f630a162fe9984eed3d10693","target":"record","created_at":"2026-05-18T01:00:47Z","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":"089d023ccb4ddc753b842cefba48faf5aa0765df3cf3b3c21d02112601c2a978","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-31T07:28:16Z","title_canon_sha256":"06a72b6db15a70eef375b9006edf8d658d1a190597597fa4f6f006065cb43de6"},"schema_version":"1.0","source":{"id":"1610.09808","kind":"arxiv","version":1}},"canonical_sha256":"8f0b33ecf1ce1e0e4b3595943b9bc077c77adb930f42bf3971ded961cc88bdde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f0b33ecf1ce1e0e4b3595943b9bc077c77adb930f42bf3971ded961cc88bdde","first_computed_at":"2026-05-18T01:00:47.154079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:47.154079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"99A/Zgw8pRuS0DvFW9A76FECRudTQoLK8aTMeLoGLZoix2TkRNtG6dA14Wzcjs3l1Njqmj+sm2API5nBitpVAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:47.154509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09808","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b549ef7b29a393d5dc228f3152d4d964915f3590f630a162fe9984eed3d10693","sha256:e5b3912dcef2bcc5694c71517a722fa5c91df7048721999405137080a3172581"],"state_sha256":"1cf04811f247a389fe34809e490966888157251599e1f7058b25113617680130"}