{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:E5KE6NVHHKR3NLOSQU5CGAUXXR","short_pith_number":"pith:E5KE6NVH","canonical_record":{"source":{"id":"1404.6310","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-04-25T03:19:42Z","cross_cats_sorted":[],"title_canon_sha256":"5db4b2058c1eed6949d7881e48d9e023ebd4619a9f9584564d8cb366d5a2e3aa","abstract_canon_sha256":"87518304bd699ba8be3da0a44dcddcc455c18120f390162f40f325773bb391c8"},"schema_version":"1.0"},"canonical_sha256":"27544f36a73aa3b6add2853a230297bc44833097438b38874adfed8cc65ebbf4","source":{"kind":"arxiv","id":"1404.6310","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6310","created_at":"2026-05-18T02:45:12Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6310v2","created_at":"2026-05-18T02:45:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6310","created_at":"2026-05-18T02:45:12Z"},{"alias_kind":"pith_short_12","alias_value":"E5KE6NVHHKR3","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"E5KE6NVHHKR3NLOS","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"E5KE6NVH","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:E5KE6NVHHKR3NLOSQU5CGAUXXR","target":"record","payload":{"canonical_record":{"source":{"id":"1404.6310","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-04-25T03:19:42Z","cross_cats_sorted":[],"title_canon_sha256":"5db4b2058c1eed6949d7881e48d9e023ebd4619a9f9584564d8cb366d5a2e3aa","abstract_canon_sha256":"87518304bd699ba8be3da0a44dcddcc455c18120f390162f40f325773bb391c8"},"schema_version":"1.0"},"canonical_sha256":"27544f36a73aa3b6add2853a230297bc44833097438b38874adfed8cc65ebbf4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:12.393083Z","signature_b64":"jPC1BA6bHR94WT1s7GOhT2P7FR6MainN4iAfg2621keQxrs0LaqAxofYqIaBtsogFXlA8gHzdQo/GQf4Y3GaDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27544f36a73aa3b6add2853a230297bc44833097438b38874adfed8cc65ebbf4","last_reissued_at":"2026-05-18T02:45:12.392460Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:12.392460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.6310","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:45:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TwoT8utQQcqO04WiH721MaeXSAFxHuO9VbeQvzDJrgdFgPZKN29MN2xlpJ96Olcam8eA5rPlejRize7/UH1jAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T16:14:02.478732Z"},"content_sha256":"a59fa3885f3e756a7ad04954ff32eb178e71cbe5c873f7c54e5dc383507f7c9d","schema_version":"1.0","event_id":"sha256:a59fa3885f3e756a7ad04954ff32eb178e71cbe5c873f7c54e5dc383507f7c9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:E5KE6NVHHKR3NLOSQU5CGAUXXR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Motion planning algorithms for Configuration Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Enrique Torres-Giese, Hugo Mas-Ku","submitted_at":"2014-04-25T03:19:42Z","abstract_excerpt":"We provide explicit motion planners for Euiclidean configuration spaces. This allows us to recover some known values of the topological complexity and the Lusternik-Schinirelman category of these spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6310","kind":"arxiv","version":2},"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":"2026-05-18T02:45:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9MC3DFWqpv+4g3bG4HHC1Bn6va0m2N3mSkFyYDs0s2s1HBQsX0KrzYT98WXR8CLlO3JoNiGLjzwdkPwNPa9aDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T16:14:02.479071Z"},"content_sha256":"cad8bd74fb59cb8daced49242cde082037cab7d16403a50e653089bc6ef56a31","schema_version":"1.0","event_id":"sha256:cad8bd74fb59cb8daced49242cde082037cab7d16403a50e653089bc6ef56a31"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E5KE6NVHHKR3NLOSQU5CGAUXXR/bundle.json","state_url":"https://pith.science/pith/E5KE6NVHHKR3NLOSQU5CGAUXXR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E5KE6NVHHKR3NLOSQU5CGAUXXR/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":"2026-06-25T16:14:02Z","links":{"resolver":"https://pith.science/pith/E5KE6NVHHKR3NLOSQU5CGAUXXR","bundle":"https://pith.science/pith/E5KE6NVHHKR3NLOSQU5CGAUXXR/bundle.json","state":"https://pith.science/pith/E5KE6NVHHKR3NLOSQU5CGAUXXR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E5KE6NVHHKR3NLOSQU5CGAUXXR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:E5KE6NVHHKR3NLOSQU5CGAUXXR","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":"87518304bd699ba8be3da0a44dcddcc455c18120f390162f40f325773bb391c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-04-25T03:19:42Z","title_canon_sha256":"5db4b2058c1eed6949d7881e48d9e023ebd4619a9f9584564d8cb366d5a2e3aa"},"schema_version":"1.0","source":{"id":"1404.6310","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6310","created_at":"2026-05-18T02:45:12Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6310v2","created_at":"2026-05-18T02:45:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6310","created_at":"2026-05-18T02:45:12Z"},{"alias_kind":"pith_short_12","alias_value":"E5KE6NVHHKR3","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"E5KE6NVHHKR3NLOS","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"E5KE6NVH","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:cad8bd74fb59cb8daced49242cde082037cab7d16403a50e653089bc6ef56a31","target":"graph","created_at":"2026-05-18T02:45:12Z","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 provide explicit motion planners for Euiclidean configuration spaces. This allows us to recover some known values of the topological complexity and the Lusternik-Schinirelman category of these spaces.","authors_text":"Enrique Torres-Giese, Hugo Mas-Ku","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-04-25T03:19:42Z","title":"Motion planning algorithms for Configuration Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6310","kind":"arxiv","version":2},"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:a59fa3885f3e756a7ad04954ff32eb178e71cbe5c873f7c54e5dc383507f7c9d","target":"record","created_at":"2026-05-18T02:45:12Z","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":"87518304bd699ba8be3da0a44dcddcc455c18120f390162f40f325773bb391c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-04-25T03:19:42Z","title_canon_sha256":"5db4b2058c1eed6949d7881e48d9e023ebd4619a9f9584564d8cb366d5a2e3aa"},"schema_version":"1.0","source":{"id":"1404.6310","kind":"arxiv","version":2}},"canonical_sha256":"27544f36a73aa3b6add2853a230297bc44833097438b38874adfed8cc65ebbf4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27544f36a73aa3b6add2853a230297bc44833097438b38874adfed8cc65ebbf4","first_computed_at":"2026-05-18T02:45:12.392460Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:12.392460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jPC1BA6bHR94WT1s7GOhT2P7FR6MainN4iAfg2621keQxrs0LaqAxofYqIaBtsogFXlA8gHzdQo/GQf4Y3GaDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:12.393083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6310","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a59fa3885f3e756a7ad04954ff32eb178e71cbe5c873f7c54e5dc383507f7c9d","sha256:cad8bd74fb59cb8daced49242cde082037cab7d16403a50e653089bc6ef56a31"],"state_sha256":"d88a104e5f30b70fa8886176f9cd5668d761722432dcbaf6a4cc675231a02d8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRsBdSvxtCu48vTpt9weBIDLf2TfI5+f7PDbstBk+QE+i96Zi3qt7u07PoGWFRbEfwFwRogMNiSyeCNl5hImAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T16:14:02.481141Z","bundle_sha256":"7ec49556a1d1c9e3993c06b32f6140c7d9f753e4768e1a69d7ac3754dcc4b0a8"}}