{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NAJZYQUL44OB2WCGMXFJFQR4VZ","short_pith_number":"pith:NAJZYQUL","canonical_record":{"source":{"id":"2206.02700","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2022-06-06T15:57:28Z","cross_cats_sorted":[],"title_canon_sha256":"24a74c376fe1ddd53264b857f45083bdaeb073a983925fe52020856670522bad","abstract_canon_sha256":"0c99e28bf29fe7fa13efaa33d0c9bccf03bf902c8a2a4d5113d7e17c8000346c"},"schema_version":"1.0"},"canonical_sha256":"68139c428be71c1d584665ca92c23cae5dac0b8bd452f6645b3bf16c20ac32bb","source":{"kind":"arxiv","id":"2206.02700","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.02700","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"arxiv_version","alias_value":"2206.02700v1","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.02700","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"pith_short_12","alias_value":"NAJZYQUL44OB","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"pith_short_16","alias_value":"NAJZYQUL44OB2WCG","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"pith_short_8","alias_value":"NAJZYQUL","created_at":"2026-07-05T04:29:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NAJZYQUL44OB2WCGMXFJFQR4VZ","target":"record","payload":{"canonical_record":{"source":{"id":"2206.02700","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2022-06-06T15:57:28Z","cross_cats_sorted":[],"title_canon_sha256":"24a74c376fe1ddd53264b857f45083bdaeb073a983925fe52020856670522bad","abstract_canon_sha256":"0c99e28bf29fe7fa13efaa33d0c9bccf03bf902c8a2a4d5113d7e17c8000346c"},"schema_version":"1.0"},"canonical_sha256":"68139c428be71c1d584665ca92c23cae5dac0b8bd452f6645b3bf16c20ac32bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:29:20.417353Z","signature_b64":"GS386R+/Ibcjqi/90GVOoEts2/oTXMPUUS+LLU724/f4gNglSynTg/AccrnLhTYycNsOLzTeE+H7UH6R1kuBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68139c428be71c1d584665ca92c23cae5dac0b8bd452f6645b3bf16c20ac32bb","last_reissued_at":"2026-07-05T04:29:20.416803Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:29:20.416803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.02700","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":"2026-07-05T04:29:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ppNr1zFMK9meUb6hvhcTWXoI5cNeyJSe/CBBTPsxuLvtZZuexrcnqlVjpWqWEhEEVZpHgueLQ+tpjM4tgbzjAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:58:40.921227Z"},"content_sha256":"0abb6e544586481f8cd94d97d8d1fbe2bc4e52a383a966d0e104902b2e26ba5a","schema_version":"1.0","event_id":"sha256:0abb6e544586481f8cd94d97d8d1fbe2bc4e52a383a966d0e104902b2e26ba5a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NAJZYQUL44OB2WCGMXFJFQR4VZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Forbidding Edges between Points in the Plane to Disconnect the Triangulation Flip Graph","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Anna Lubiw, Reza Bigdeli","submitted_at":"2022-06-06T15:57:28Z","abstract_excerpt":"The flip graph for a set $P$ of points in the plane has a vertex for every triangulation of $P$, and an edge when two triangulations differ by one flip that replaces one triangulation edge by another. The flip graph is known to have some connectivity properties: (1) the flip graph is connected; (2) connectivity still holds when restricted to triangulations containing some constrained edges between the points; (3) for $P$ in general position of size $n$, the flip graph is $\\lceil \\frac{n}{2} -2 \\rceil$-connected, a recent result of Wagner and Welzl (SODA 2020).\n  We introduce the study of conne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.02700","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.02700/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:29:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7T0jFG6oyIk8RyDceIEjmOrkFUWK2gBcKcB6N457cbzY7wK4U6LjCmjd3P8atfnpdtxLRL+T/yaypx++HXUfDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:58:40.921822Z"},"content_sha256":"f380d0a7ed99905a0f9595dfcdaabc6378b785647b86d5b5a61d89c52c242924","schema_version":"1.0","event_id":"sha256:f380d0a7ed99905a0f9595dfcdaabc6378b785647b86d5b5a61d89c52c242924"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NAJZYQUL44OB2WCGMXFJFQR4VZ/bundle.json","state_url":"https://pith.science/pith/NAJZYQUL44OB2WCGMXFJFQR4VZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NAJZYQUL44OB2WCGMXFJFQR4VZ/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":"2026-08-09T00:58:40Z","links":{"resolver":"https://pith.science/pith/NAJZYQUL44OB2WCGMXFJFQR4VZ","bundle":"https://pith.science/pith/NAJZYQUL44OB2WCGMXFJFQR4VZ/bundle.json","state":"https://pith.science/pith/NAJZYQUL44OB2WCGMXFJFQR4VZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NAJZYQUL44OB2WCGMXFJFQR4VZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NAJZYQUL44OB2WCGMXFJFQR4VZ","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":"0c99e28bf29fe7fa13efaa33d0c9bccf03bf902c8a2a4d5113d7e17c8000346c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2022-06-06T15:57:28Z","title_canon_sha256":"24a74c376fe1ddd53264b857f45083bdaeb073a983925fe52020856670522bad"},"schema_version":"1.0","source":{"id":"2206.02700","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.02700","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"arxiv_version","alias_value":"2206.02700v1","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.02700","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"pith_short_12","alias_value":"NAJZYQUL44OB","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"pith_short_16","alias_value":"NAJZYQUL44OB2WCG","created_at":"2026-07-05T04:29:20Z"},{"alias_kind":"pith_short_8","alias_value":"NAJZYQUL","created_at":"2026-07-05T04:29:20Z"}],"graph_snapshots":[{"event_id":"sha256:f380d0a7ed99905a0f9595dfcdaabc6378b785647b86d5b5a61d89c52c242924","target":"graph","created_at":"2026-07-05T04:29:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2206.02700/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The flip graph for a set $P$ of points in the plane has a vertex for every triangulation of $P$, and an edge when two triangulations differ by one flip that replaces one triangulation edge by another. The flip graph is known to have some connectivity properties: (1) the flip graph is connected; (2) connectivity still holds when restricted to triangulations containing some constrained edges between the points; (3) for $P$ in general position of size $n$, the flip graph is $\\lceil \\frac{n}{2} -2 \\rceil$-connected, a recent result of Wagner and Welzl (SODA 2020).\n  We introduce the study of conne","authors_text":"Anna Lubiw, Reza Bigdeli","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2022-06-06T15:57:28Z","title":"Forbidding Edges between Points in the Plane to Disconnect the Triangulation Flip Graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.02700","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":"sha256:0abb6e544586481f8cd94d97d8d1fbe2bc4e52a383a966d0e104902b2e26ba5a","target":"record","created_at":"2026-07-05T04:29:20Z","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":"0c99e28bf29fe7fa13efaa33d0c9bccf03bf902c8a2a4d5113d7e17c8000346c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2022-06-06T15:57:28Z","title_canon_sha256":"24a74c376fe1ddd53264b857f45083bdaeb073a983925fe52020856670522bad"},"schema_version":"1.0","source":{"id":"2206.02700","kind":"arxiv","version":1}},"canonical_sha256":"68139c428be71c1d584665ca92c23cae5dac0b8bd452f6645b3bf16c20ac32bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68139c428be71c1d584665ca92c23cae5dac0b8bd452f6645b3bf16c20ac32bb","first_computed_at":"2026-07-05T04:29:20.416803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:29:20.416803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GS386R+/Ibcjqi/90GVOoEts2/oTXMPUUS+LLU724/f4gNglSynTg/AccrnLhTYycNsOLzTeE+H7UH6R1kuBDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:29:20.417353Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.02700","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0abb6e544586481f8cd94d97d8d1fbe2bc4e52a383a966d0e104902b2e26ba5a","sha256:f380d0a7ed99905a0f9595dfcdaabc6378b785647b86d5b5a61d89c52c242924"],"state_sha256":"eab2cd859a41c15b2156f26a559c4e0640a83a8912a45759343537a1e7ff6980"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6RXG+42ZSukYWbLn0cR/yc6KcY+/M70v4qDy5NY1+AOb+z+QC/tYGlpURACKHcGNqv30f2RbfYRPUwx5crirDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T00:58:40.925839Z","bundle_sha256":"d3aaff05c276a22636e383f8ed5b2eb3cd523146f4320fdff9c155210a0e1266"}}