{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WYFCCUQX2GGME4ULU3NWJJQ7AF","short_pith_number":"pith:WYFCCUQX","canonical_record":{"source":{"id":"1505.00297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-05-02T01:27:50Z","cross_cats_sorted":["cs.GT","math.OC"],"title_canon_sha256":"1838aa11e8cbe2f9d285d826541f66b77fa5ab33dc5c4423c5f8157ad81164a0","abstract_canon_sha256":"27026bd4523dda729cfc11d306e8c8243e2ba3ef6bb38249111c37fe2806da8d"},"schema_version":"1.0"},"canonical_sha256":"b60a215217d18cc2728ba6db64a61f014b7facecb48a1ffe67f9538c1a447567","source":{"kind":"arxiv","id":"1505.00297","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00297","created_at":"2026-05-18T02:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00297v1","created_at":"2026-05-18T02:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00297","created_at":"2026-05-18T02:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"WYFCCUQX2GGM","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WYFCCUQX2GGME4UL","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WYFCCUQX","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WYFCCUQX2GGME4ULU3NWJJQ7AF","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-05-02T01:27:50Z","cross_cats_sorted":["cs.GT","math.OC"],"title_canon_sha256":"1838aa11e8cbe2f9d285d826541f66b77fa5ab33dc5c4423c5f8157ad81164a0","abstract_canon_sha256":"27026bd4523dda729cfc11d306e8c8243e2ba3ef6bb38249111c37fe2806da8d"},"schema_version":"1.0"},"canonical_sha256":"b60a215217d18cc2728ba6db64a61f014b7facecb48a1ffe67f9538c1a447567","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:10.531218Z","signature_b64":"QScy/uZR18VvFCG2AepzkL552VxINlM+sPsB8truPYkdsOhot956D358ejrC5GkwvLtYCPrl97sty+SNK8GnCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b60a215217d18cc2728ba6db64a61f014b7facecb48a1ffe67f9538c1a447567","last_reissued_at":"2026-05-18T02:17:10.530408Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:10.530408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00297","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":"2026-05-18T02:17:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E9KG7pnsUNnWcIUbY9GnT/HfNns2Bvff1Z8ZC2ibLAD2p83qvdntRc4Esg0j5oYiz2Mo2sLbg58AQlTQoazlCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:56:51.398796Z"},"content_sha256":"ce51f95796986446f816e4ee026a4557e65857d780ebb2e448c20eaa7cc1944a","schema_version":"1.0","event_id":"sha256:ce51f95796986446f816e4ee026a4557e65857d780ebb2e448c20eaa7cc1944a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WYFCCUQX2GGME4ULU3NWJJQ7AF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-Dimensional Pursuit-Evasion in a Compact Domain with Piecewise Analytic Boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT","math.OC"],"primary_cat":"math.MG","authors_text":"Andrew Beveridge, Yiqing Cai","submitted_at":"2015-05-02T01:27:50Z","abstract_excerpt":"In a pursuit-evasion game, a team of pursuers attempt to capture an evader. The players alternate turns, move with equal speed, and have full information about the state of the game. We consider the most restictive capture condition: a pursuer must become colocated with the evader to win the game. We prove two general results about pursuit-evasion games in topological spaces. First, we show that one pursuer has a winning strategy in any CAT(0) space under this restrictive capture criterion. This complements a result of Alexander, Bishop and Ghrist, who provide a winning strategy for a game wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00297","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":"2026-05-18T02:17:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LIx1+E47DwGs+7QqRDSDMqcIluLp9nZ1imy2cy99AAIW7fJNLvfmI8zSlBFUrmje58BjUCuZcezUcX3JkbdZDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:56:51.399146Z"},"content_sha256":"2b195ca12a56511e4e6f8629a071c8a2a0bece6432de8045a9bbe8c19f17783e","schema_version":"1.0","event_id":"sha256:2b195ca12a56511e4e6f8629a071c8a2a0bece6432de8045a9bbe8c19f17783e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WYFCCUQX2GGME4ULU3NWJJQ7AF/bundle.json","state_url":"https://pith.science/pith/WYFCCUQX2GGME4ULU3NWJJQ7AF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WYFCCUQX2GGME4ULU3NWJJQ7AF/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":"2026-06-02T03:56:51Z","links":{"resolver":"https://pith.science/pith/WYFCCUQX2GGME4ULU3NWJJQ7AF","bundle":"https://pith.science/pith/WYFCCUQX2GGME4ULU3NWJJQ7AF/bundle.json","state":"https://pith.science/pith/WYFCCUQX2GGME4ULU3NWJJQ7AF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WYFCCUQX2GGME4ULU3NWJJQ7AF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WYFCCUQX2GGME4ULU3NWJJQ7AF","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":"27026bd4523dda729cfc11d306e8c8243e2ba3ef6bb38249111c37fe2806da8d","cross_cats_sorted":["cs.GT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-05-02T01:27:50Z","title_canon_sha256":"1838aa11e8cbe2f9d285d826541f66b77fa5ab33dc5c4423c5f8157ad81164a0"},"schema_version":"1.0","source":{"id":"1505.00297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00297","created_at":"2026-05-18T02:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00297v1","created_at":"2026-05-18T02:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00297","created_at":"2026-05-18T02:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"WYFCCUQX2GGM","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WYFCCUQX2GGME4UL","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WYFCCUQX","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:2b195ca12a56511e4e6f8629a071c8a2a0bece6432de8045a9bbe8c19f17783e","target":"graph","created_at":"2026-05-18T02:17:10Z","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":"In a pursuit-evasion game, a team of pursuers attempt to capture an evader. The players alternate turns, move with equal speed, and have full information about the state of the game. We consider the most restictive capture condition: a pursuer must become colocated with the evader to win the game. We prove two general results about pursuit-evasion games in topological spaces. First, we show that one pursuer has a winning strategy in any CAT(0) space under this restrictive capture criterion. This complements a result of Alexander, Bishop and Ghrist, who provide a winning strategy for a game wit","authors_text":"Andrew Beveridge, Yiqing Cai","cross_cats":["cs.GT","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-05-02T01:27:50Z","title":"Two-Dimensional Pursuit-Evasion in a Compact Domain with Piecewise Analytic Boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00297","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:ce51f95796986446f816e4ee026a4557e65857d780ebb2e448c20eaa7cc1944a","target":"record","created_at":"2026-05-18T02:17:10Z","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":"27026bd4523dda729cfc11d306e8c8243e2ba3ef6bb38249111c37fe2806da8d","cross_cats_sorted":["cs.GT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-05-02T01:27:50Z","title_canon_sha256":"1838aa11e8cbe2f9d285d826541f66b77fa5ab33dc5c4423c5f8157ad81164a0"},"schema_version":"1.0","source":{"id":"1505.00297","kind":"arxiv","version":1}},"canonical_sha256":"b60a215217d18cc2728ba6db64a61f014b7facecb48a1ffe67f9538c1a447567","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b60a215217d18cc2728ba6db64a61f014b7facecb48a1ffe67f9538c1a447567","first_computed_at":"2026-05-18T02:17:10.530408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:10.530408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QScy/uZR18VvFCG2AepzkL552VxINlM+sPsB8truPYkdsOhot956D358ejrC5GkwvLtYCPrl97sty+SNK8GnCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:10.531218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce51f95796986446f816e4ee026a4557e65857d780ebb2e448c20eaa7cc1944a","sha256:2b195ca12a56511e4e6f8629a071c8a2a0bece6432de8045a9bbe8c19f17783e"],"state_sha256":"a0c7350e09a25d098c5170633b1f45e12b9d9b630c6838218352c862e08b3e01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2kaA3KlfOFaRt3A0YukZwoRebDnsKlHz2PYowf9rX32JegHz/47HG0iNGJp1va76I77CMhKoDaw6fm/yEvVUDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:56:51.401257Z","bundle_sha256":"0630d59dec1076a1ddf51c9c47b9a39718cd54a42891617f3808c6314ba781e6"}}