{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:SBFNFWXXB7FWVKA7L3BNBNUWQB","short_pith_number":"pith:SBFNFWXX","canonical_record":{"source":{"id":"1905.00791","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-02T14:56:09Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"5ace8261e1aa81c899725dff2ceafb26404bbdbdf777f668110b0aca8f796c95","abstract_canon_sha256":"95e4607560933c8952611fd1c6f963cde473b59447370483967878fdf705a7c3"},"schema_version":"1.0"},"canonical_sha256":"904ad2daf70fcb6aa81f5ec2d0b696804323b4ded98e66d7f1c870cd374a68be","source":{"kind":"arxiv","id":"1905.00791","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.00791","created_at":"2026-05-17T23:47:09Z"},{"alias_kind":"arxiv_version","alias_value":"1905.00791v1","created_at":"2026-05-17T23:47:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.00791","created_at":"2026-05-17T23:47:09Z"},{"alias_kind":"pith_short_12","alias_value":"SBFNFWXXB7FW","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"SBFNFWXXB7FWVKA7","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"SBFNFWXX","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:SBFNFWXXB7FWVKA7L3BNBNUWQB","target":"record","payload":{"canonical_record":{"source":{"id":"1905.00791","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-02T14:56:09Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"5ace8261e1aa81c899725dff2ceafb26404bbdbdf777f668110b0aca8f796c95","abstract_canon_sha256":"95e4607560933c8952611fd1c6f963cde473b59447370483967878fdf705a7c3"},"schema_version":"1.0"},"canonical_sha256":"904ad2daf70fcb6aa81f5ec2d0b696804323b4ded98e66d7f1c870cd374a68be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:09.284007Z","signature_b64":"EERJtUAF3cCPqVSvH93EVINQJ7iRHfnSNvddC3g3sz/RgYBRPSMgz/d2g/AZfKxnK8aPHG+gbPaze938rwFCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"904ad2daf70fcb6aa81f5ec2d0b696804323b4ded98e66d7f1c870cd374a68be","last_reissued_at":"2026-05-17T23:47:09.283298Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:09.283298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.00791","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":"2026-05-17T23:47:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"djkxB+JwwuZbkstSLk5uQI4wgUo5OJYK56RKm3g6+AdS1IQONIWqxzONs9ZSXEwPQLtfgAuMftPqUumjuuXKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:11:11.913107Z"},"content_sha256":"abe82ee87b8b5fad9aff29a24827b1d46c46de84f486d6e783b61b4e5abce3e4","schema_version":"1.0","event_id":"sha256:abe82ee87b8b5fad9aff29a24827b1d46c46de84f486d6e783b61b4e5abce3e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:SBFNFWXXB7FWVKA7L3BNBNUWQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flip Distance to some Plane Configurations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"cs.CG","authors_text":"Ahmad Biniaz, Anil Maheshwari, Michiel Smid","submitted_at":"2019-05-02T14:56:09Z","abstract_excerpt":"We study an old geometric optimization problem in the plane. Given a perfect matching $M$ on a set of $n$ points in the plane, we can transform it to a non-crossing perfect matching by a finite sequence of flip operations. The flip operation removes two crossing edges from $M$ and adds two non-crossing edges. Let $f(M)$ and $F(M)$ denote the minimum and maximum lengths of a flip sequence on $M$, respectively. It has been proved by Bonnet and Miltzow (2016) that $f(M)=O(n^2)$ and by van Leeuwen and Schoone (1980) that $F(M)=O(n^3)$. We prove that $f(M)=O(n\\Delta)$ where $\\Delta$ is the spread o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.00791","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":"2026-05-17T23:47:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9TxOaCrvhEGLtD+itNRZot7PRbhsbCzaEip6r+2Oo8M/0JmqHkhpoNs0tYwO2KK2EZLhxcqvPFVXsGVMP5WEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:11:11.913835Z"},"content_sha256":"483d3a4fed5acab144ba82000600941032d8e94d49a394f4b66b8eb6732ff4ab","schema_version":"1.0","event_id":"sha256:483d3a4fed5acab144ba82000600941032d8e94d49a394f4b66b8eb6732ff4ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SBFNFWXXB7FWVKA7L3BNBNUWQB/bundle.json","state_url":"https://pith.science/pith/SBFNFWXXB7FWVKA7L3BNBNUWQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SBFNFWXXB7FWVKA7L3BNBNUWQB/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":"2026-06-05T21:11:11Z","links":{"resolver":"https://pith.science/pith/SBFNFWXXB7FWVKA7L3BNBNUWQB","bundle":"https://pith.science/pith/SBFNFWXXB7FWVKA7L3BNBNUWQB/bundle.json","state":"https://pith.science/pith/SBFNFWXXB7FWVKA7L3BNBNUWQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SBFNFWXXB7FWVKA7L3BNBNUWQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SBFNFWXXB7FWVKA7L3BNBNUWQB","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":"95e4607560933c8952611fd1c6f963cde473b59447370483967878fdf705a7c3","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-02T14:56:09Z","title_canon_sha256":"5ace8261e1aa81c899725dff2ceafb26404bbdbdf777f668110b0aca8f796c95"},"schema_version":"1.0","source":{"id":"1905.00791","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.00791","created_at":"2026-05-17T23:47:09Z"},{"alias_kind":"arxiv_version","alias_value":"1905.00791v1","created_at":"2026-05-17T23:47:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.00791","created_at":"2026-05-17T23:47:09Z"},{"alias_kind":"pith_short_12","alias_value":"SBFNFWXXB7FW","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"SBFNFWXXB7FWVKA7","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"SBFNFWXX","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:483d3a4fed5acab144ba82000600941032d8e94d49a394f4b66b8eb6732ff4ab","target":"graph","created_at":"2026-05-17T23:47:09Z","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 an old geometric optimization problem in the plane. Given a perfect matching $M$ on a set of $n$ points in the plane, we can transform it to a non-crossing perfect matching by a finite sequence of flip operations. The flip operation removes two crossing edges from $M$ and adds two non-crossing edges. Let $f(M)$ and $F(M)$ denote the minimum and maximum lengths of a flip sequence on $M$, respectively. It has been proved by Bonnet and Miltzow (2016) that $f(M)=O(n^2)$ and by van Leeuwen and Schoone (1980) that $F(M)=O(n^3)$. We prove that $f(M)=O(n\\Delta)$ where $\\Delta$ is the spread o","authors_text":"Ahmad Biniaz, Anil Maheshwari, Michiel Smid","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-02T14:56:09Z","title":"Flip Distance to some Plane Configurations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.00791","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:abe82ee87b8b5fad9aff29a24827b1d46c46de84f486d6e783b61b4e5abce3e4","target":"record","created_at":"2026-05-17T23:47:09Z","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":"95e4607560933c8952611fd1c6f963cde473b59447370483967878fdf705a7c3","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-05-02T14:56:09Z","title_canon_sha256":"5ace8261e1aa81c899725dff2ceafb26404bbdbdf777f668110b0aca8f796c95"},"schema_version":"1.0","source":{"id":"1905.00791","kind":"arxiv","version":1}},"canonical_sha256":"904ad2daf70fcb6aa81f5ec2d0b696804323b4ded98e66d7f1c870cd374a68be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"904ad2daf70fcb6aa81f5ec2d0b696804323b4ded98e66d7f1c870cd374a68be","first_computed_at":"2026-05-17T23:47:09.283298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:09.283298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EERJtUAF3cCPqVSvH93EVINQJ7iRHfnSNvddC3g3sz/RgYBRPSMgz/d2g/AZfKxnK8aPHG+gbPaze938rwFCCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:09.284007Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.00791","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:abe82ee87b8b5fad9aff29a24827b1d46c46de84f486d6e783b61b4e5abce3e4","sha256:483d3a4fed5acab144ba82000600941032d8e94d49a394f4b66b8eb6732ff4ab"],"state_sha256":"d6f9f52b099d4d71b5edd2f907c0382e81dbb8857e647447ec19988106a0ed9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ho+A3T1ynup9VZthAiymqM5+OdMpjMRPr0IERV81CdL/IcZBs3lHObVHRV8IO0Y0VAbn6J/vzio3tCZOgnWiDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:11:11.917770Z","bundle_sha256":"1b2f125d8644595df76160887eabcb638c5a873acc39e7491bca245110474013"}}