{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VL4RRCHB4NQ22IX6HFXVN7ISQ2","short_pith_number":"pith:VL4RRCHB","canonical_record":{"source":{"id":"1607.07667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-07-26T12:33:33Z","cross_cats_sorted":[],"title_canon_sha256":"d5ee898f2f43642f9f961812ed8f22087b6b477c7e871da0497f71e7286a8ee8","abstract_canon_sha256":"9b46cd662d6b1f3f7326d07666ce7bbdad1546727fb772c35ae923b0a83b5584"},"schema_version":"1.0"},"canonical_sha256":"aaf91888e1e361ad22fe396f56fd1286be86e322a383963859ffc5c9aedb10fe","source":{"kind":"arxiv","id":"1607.07667","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07667","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07667v1","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07667","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"VL4RRCHB4NQ2","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VL4RRCHB4NQ22IX6","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VL4RRCHB","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VL4RRCHB4NQ22IX6HFXVN7ISQ2","target":"record","payload":{"canonical_record":{"source":{"id":"1607.07667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-07-26T12:33:33Z","cross_cats_sorted":[],"title_canon_sha256":"d5ee898f2f43642f9f961812ed8f22087b6b477c7e871da0497f71e7286a8ee8","abstract_canon_sha256":"9b46cd662d6b1f3f7326d07666ce7bbdad1546727fb772c35ae923b0a83b5584"},"schema_version":"1.0"},"canonical_sha256":"aaf91888e1e361ad22fe396f56fd1286be86e322a383963859ffc5c9aedb10fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:28.003651Z","signature_b64":"MrbpbKIEISmb/T1DzQdZSMRC0TyqqxVV9jMRYG8QmMdL2wiGPMrFw/4ZPfVKfeIPOeFWRTG7MAwLU++VgOg1Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aaf91888e1e361ad22fe396f56fd1286be86e322a383963859ffc5c9aedb10fe","last_reissued_at":"2026-05-18T01:10:28.003074Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:28.003074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.07667","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":"2026-05-18T01:10:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8MuRwlWeZutiN6HcAdLKO/B5aLItfDc5gZUV0Zd45cyL847UR7oJ/+Q3+R5NsnEDgfiLoPXwntn1vR9r5yPjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:58:09.552461Z"},"content_sha256":"7c17e1fa4bfcd3f3045819b983c84396a4f570db53cf417967a1f950cd373d1c","schema_version":"1.0","event_id":"sha256:7c17e1fa4bfcd3f3045819b983c84396a4f570db53cf417967a1f950cd373d1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VL4RRCHB4NQ22IX6HFXVN7ISQ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological complexity of collision-free multi-tasking motion planning on orientable surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"B\\'arbara Guti\\'errez, Jes\\'us Gonz\\'alez","submitted_at":"2016-07-26T12:33:33Z","abstract_excerpt":"We compute the higher topological complexity of ordered configuration spaces of orientable surfaces, thus extending Cohen-Farber's description of the ordinary topological complexity of those spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07667","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":"2026-05-18T01:10:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IsjKyaOffZodokFQD6St00XstCztw2uN8fl7MLDyvEq9zN8MPAexkO/tufzTH1KrL4FNR5oT0OxFh+epgEksAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:58:09.552801Z"},"content_sha256":"7699b815813f69ab4d5cb254667efacaa54cd2abbc1fb7dc0e4ac8348ef6806d","schema_version":"1.0","event_id":"sha256:7699b815813f69ab4d5cb254667efacaa54cd2abbc1fb7dc0e4ac8348ef6806d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VL4RRCHB4NQ22IX6HFXVN7ISQ2/bundle.json","state_url":"https://pith.science/pith/VL4RRCHB4NQ22IX6HFXVN7ISQ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VL4RRCHB4NQ22IX6HFXVN7ISQ2/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":"2026-06-25T12:58:09Z","links":{"resolver":"https://pith.science/pith/VL4RRCHB4NQ22IX6HFXVN7ISQ2","bundle":"https://pith.science/pith/VL4RRCHB4NQ22IX6HFXVN7ISQ2/bundle.json","state":"https://pith.science/pith/VL4RRCHB4NQ22IX6HFXVN7ISQ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VL4RRCHB4NQ22IX6HFXVN7ISQ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VL4RRCHB4NQ22IX6HFXVN7ISQ2","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":"9b46cd662d6b1f3f7326d07666ce7bbdad1546727fb772c35ae923b0a83b5584","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-07-26T12:33:33Z","title_canon_sha256":"d5ee898f2f43642f9f961812ed8f22087b6b477c7e871da0497f71e7286a8ee8"},"schema_version":"1.0","source":{"id":"1607.07667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07667","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07667v1","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07667","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"VL4RRCHB4NQ2","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VL4RRCHB4NQ22IX6","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VL4RRCHB","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:7699b815813f69ab4d5cb254667efacaa54cd2abbc1fb7dc0e4ac8348ef6806d","target":"graph","created_at":"2026-05-18T01:10:28Z","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 compute the higher topological complexity of ordered configuration spaces of orientable surfaces, thus extending Cohen-Farber's description of the ordinary topological complexity of those spaces.","authors_text":"B\\'arbara Guti\\'errez, Jes\\'us Gonz\\'alez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-07-26T12:33:33Z","title":"Topological complexity of collision-free multi-tasking motion planning on orientable surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07667","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":"sha256:7c17e1fa4bfcd3f3045819b983c84396a4f570db53cf417967a1f950cd373d1c","target":"record","created_at":"2026-05-18T01:10:28Z","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":"9b46cd662d6b1f3f7326d07666ce7bbdad1546727fb772c35ae923b0a83b5584","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-07-26T12:33:33Z","title_canon_sha256":"d5ee898f2f43642f9f961812ed8f22087b6b477c7e871da0497f71e7286a8ee8"},"schema_version":"1.0","source":{"id":"1607.07667","kind":"arxiv","version":1}},"canonical_sha256":"aaf91888e1e361ad22fe396f56fd1286be86e322a383963859ffc5c9aedb10fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aaf91888e1e361ad22fe396f56fd1286be86e322a383963859ffc5c9aedb10fe","first_computed_at":"2026-05-18T01:10:28.003074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:28.003074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MrbpbKIEISmb/T1DzQdZSMRC0TyqqxVV9jMRYG8QmMdL2wiGPMrFw/4ZPfVKfeIPOeFWRTG7MAwLU++VgOg1Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:28.003651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c17e1fa4bfcd3f3045819b983c84396a4f570db53cf417967a1f950cd373d1c","sha256:7699b815813f69ab4d5cb254667efacaa54cd2abbc1fb7dc0e4ac8348ef6806d"],"state_sha256":"bea9a0f2631d6f3f43b745067df9c0e14449ae1bb483952014979112544bc7cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sFQoPPuhS88LNPUSIQycj/L4rCHDaUaEg3GQQB6w13PkNGtCMeClm2fYNCCus6WxXV4oZFTz+sAbqMEWyQvPBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T12:58:09.554652Z","bundle_sha256":"a802ae186e4cb836eb7ac273136f4df6ca6d3677ade3956469d9b0dc3bec2f59"}}