{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CXQ4Y2ZV7HDD5FQW2IF7VAYS6I","short_pith_number":"pith:CXQ4Y2ZV","canonical_record":{"source":{"id":"1312.7280","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-12-27T15:18:56Z","cross_cats_sorted":[],"title_canon_sha256":"9156fe24239fb1c45b72df307c084480b556a4edec8547866267de8a40b210af","abstract_canon_sha256":"07fdd05f2d9a2e7de76787da7c564e28a659599a6dea7c51053b272692c86f31"},"schema_version":"1.0"},"canonical_sha256":"15e1cc6b35f9c63e9616d20bfa8312f22e08c4bb31845d93b1a04305e3e4984c","source":{"kind":"arxiv","id":"1312.7280","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7280","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7280v3","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7280","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"CXQ4Y2ZV7HDD","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CXQ4Y2ZV7HDD5FQW","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CXQ4Y2ZV","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CXQ4Y2ZV7HDD5FQW2IF7VAYS6I","target":"record","payload":{"canonical_record":{"source":{"id":"1312.7280","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-12-27T15:18:56Z","cross_cats_sorted":[],"title_canon_sha256":"9156fe24239fb1c45b72df307c084480b556a4edec8547866267de8a40b210af","abstract_canon_sha256":"07fdd05f2d9a2e7de76787da7c564e28a659599a6dea7c51053b272692c86f31"},"schema_version":"1.0"},"canonical_sha256":"15e1cc6b35f9c63e9616d20bfa8312f22e08c4bb31845d93b1a04305e3e4984c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:31.465400Z","signature_b64":"XslBr0QB35uEE5LdRI8GfXlxEK0atBqHk9KmD/DjXfRMfxpKZOyEmOhNbJX7YMuKhkMNyDiJSawDYlQadT5dAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15e1cc6b35f9c63e9616d20bfa8312f22e08c4bb31845d93b1a04305e3e4984c","last_reissued_at":"2026-05-18T00:43:31.464855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:31.464855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.7280","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBbVEZBw0fmvBitPmVi7voOODRNLN5iYNk6HIdppzm2RpWjzxjVSGCP9toTT8QKkkIK3UETVx+vhCSSwNONMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:38:13.718894Z"},"content_sha256":"5bbadb16555036c7e65cfddefb2c3eecd87ff7bd818544e628a7b617d5ca2501","schema_version":"1.0","event_id":"sha256:5bbadb16555036c7e65cfddefb2c3eecd87ff7bd818544e628a7b617d5ca2501"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CXQ4Y2ZV7HDD5FQW2IF7VAYS6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The rational homology of spaces of long links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Paul Arnaud Songhafouo Tsopm\\'en\\'e","submitted_at":"2013-12-27T15:18:56Z","abstract_excerpt":"We provide a complete understanding of the rational homology of the space of long links of m strands in the euclidean space of dimension d > 3. First, we construct explicitly a cosimplicial chain complex whose totalization is quasi-isomorphic to the singular chain complex of the space of long links. Next we show (using the fact that the Bousfield-Kan spectral sequence associated to this cosimplcial chain complex collapses at the page 2) that the homology Bousfield-Kan spectral sequence associated to the Munson-Volic cosimplicial model for the space of long links collapses at the page 2 rationa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7280","kind":"arxiv","version":3},"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":"2026-05-18T00:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kn7XUmurtDVCtMmTAvSWWVoujaO1qpMVHDHMRvP0XmZaq4AGSGfGikCI3wPoOqHMDkTLf0n1XIwPODPmfPwWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:38:13.719226Z"},"content_sha256":"029e369d69a649b6e5907d98b254de3007b60fb50e83d94194b5c47337cfda3b","schema_version":"1.0","event_id":"sha256:029e369d69a649b6e5907d98b254de3007b60fb50e83d94194b5c47337cfda3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXQ4Y2ZV7HDD5FQW2IF7VAYS6I/bundle.json","state_url":"https://pith.science/pith/CXQ4Y2ZV7HDD5FQW2IF7VAYS6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXQ4Y2ZV7HDD5FQW2IF7VAYS6I/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":"2026-06-24T21:38:13Z","links":{"resolver":"https://pith.science/pith/CXQ4Y2ZV7HDD5FQW2IF7VAYS6I","bundle":"https://pith.science/pith/CXQ4Y2ZV7HDD5FQW2IF7VAYS6I/bundle.json","state":"https://pith.science/pith/CXQ4Y2ZV7HDD5FQW2IF7VAYS6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXQ4Y2ZV7HDD5FQW2IF7VAYS6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CXQ4Y2ZV7HDD5FQW2IF7VAYS6I","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":"07fdd05f2d9a2e7de76787da7c564e28a659599a6dea7c51053b272692c86f31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-12-27T15:18:56Z","title_canon_sha256":"9156fe24239fb1c45b72df307c084480b556a4edec8547866267de8a40b210af"},"schema_version":"1.0","source":{"id":"1312.7280","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7280","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7280v3","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7280","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"CXQ4Y2ZV7HDD","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CXQ4Y2ZV7HDD5FQW","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CXQ4Y2ZV","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:029e369d69a649b6e5907d98b254de3007b60fb50e83d94194b5c47337cfda3b","target":"graph","created_at":"2026-05-18T00:43:31Z","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 a complete understanding of the rational homology of the space of long links of m strands in the euclidean space of dimension d > 3. First, we construct explicitly a cosimplicial chain complex whose totalization is quasi-isomorphic to the singular chain complex of the space of long links. Next we show (using the fact that the Bousfield-Kan spectral sequence associated to this cosimplcial chain complex collapses at the page 2) that the homology Bousfield-Kan spectral sequence associated to the Munson-Volic cosimplicial model for the space of long links collapses at the page 2 rationa","authors_text":"Paul Arnaud Songhafouo Tsopm\\'en\\'e","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-12-27T15:18:56Z","title":"The rational homology of spaces of long links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7280","kind":"arxiv","version":3},"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":"sha256:5bbadb16555036c7e65cfddefb2c3eecd87ff7bd818544e628a7b617d5ca2501","target":"record","created_at":"2026-05-18T00:43:31Z","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":"07fdd05f2d9a2e7de76787da7c564e28a659599a6dea7c51053b272692c86f31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-12-27T15:18:56Z","title_canon_sha256":"9156fe24239fb1c45b72df307c084480b556a4edec8547866267de8a40b210af"},"schema_version":"1.0","source":{"id":"1312.7280","kind":"arxiv","version":3}},"canonical_sha256":"15e1cc6b35f9c63e9616d20bfa8312f22e08c4bb31845d93b1a04305e3e4984c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15e1cc6b35f9c63e9616d20bfa8312f22e08c4bb31845d93b1a04305e3e4984c","first_computed_at":"2026-05-18T00:43:31.464855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:31.464855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XslBr0QB35uEE5LdRI8GfXlxEK0atBqHk9KmD/DjXfRMfxpKZOyEmOhNbJX7YMuKhkMNyDiJSawDYlQadT5dAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:31.465400Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7280","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bbadb16555036c7e65cfddefb2c3eecd87ff7bd818544e628a7b617d5ca2501","sha256:029e369d69a649b6e5907d98b254de3007b60fb50e83d94194b5c47337cfda3b"],"state_sha256":"faf4693726b2fc68219452639d5c2196fd13ee0d58b036482734778c31ebcb94"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+WIUP3RpiqwyXVuRZow+kiPIwoxX+SegOXfyT3BjL/6wtXsZJ+V0HsvJZtWMm8aMxZhdE2v4A7n5xcbp/2liDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T21:38:13.721031Z","bundle_sha256":"7b8e2a51658d469b9020d89bd3cbbc21f94db0e76841f8918c32a6b6cab1d480"}}