{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EXW3RHFJN333ZZYPPX5R6X4AG3","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":"b591bef0ccce0f112308a485e6e045a972605781862a95c3c873dd3459e38d6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-08-17T12:53:49Z","title_canon_sha256":"d43a8b371280592aee742dc7ad64703fd662ae14d38e9a33344552c037c0b2d0"},"schema_version":"1.0","source":{"id":"1708.05245","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05245","created_at":"2026-05-18T00:37:53Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05245v1","created_at":"2026-05-18T00:37:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05245","created_at":"2026-05-18T00:37:53Z"},{"alias_kind":"pith_short_12","alias_value":"EXW3RHFJN333","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EXW3RHFJN333ZZYP","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EXW3RHFJ","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:a395715de72157c94b1bfa52a298d92f5da08ac0dbd0c2ace197e3cd02e51975","target":"graph","created_at":"2026-05-18T00:37:53Z","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":"This survey contains the main results in rational homotopy, from the beginning to the most recent ones. It makes the status of the art, gives a short presentation of some areas where rational homotopy has been used, and contains a lot of important open problems","authors_text":"Steve Halperin, Yves F\\'elix","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-08-17T12:53:49Z","title":"Rational homotopy theory via Sullivan models: a survey"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05245","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":"sha256:4c1cd6450c0fcb8b1fe2863a1fb3317dfb548949593f4eba73ef86251cde082e","target":"record","created_at":"2026-05-18T00:37:53Z","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":"b591bef0ccce0f112308a485e6e045a972605781862a95c3c873dd3459e38d6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-08-17T12:53:49Z","title_canon_sha256":"d43a8b371280592aee742dc7ad64703fd662ae14d38e9a33344552c037c0b2d0"},"schema_version":"1.0","source":{"id":"1708.05245","kind":"arxiv","version":1}},"canonical_sha256":"25edb89ca96ef7bce70f7dfb1f5f8036e87de7dc7fc12c723e266e11dddcf23b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25edb89ca96ef7bce70f7dfb1f5f8036e87de7dc7fc12c723e266e11dddcf23b","first_computed_at":"2026-05-18T00:37:53.486385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:53.486385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e4e0bnYlICSvJB/EwlVhxP5epda10C0Vknv30M+OcX5jfhUJHEijrXCm0HA3JQbxNd26k6K4pX/h0v3y/9RXAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:53.486858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.05245","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c1cd6450c0fcb8b1fe2863a1fb3317dfb548949593f4eba73ef86251cde082e","sha256:a395715de72157c94b1bfa52a298d92f5da08ac0dbd0c2ace197e3cd02e51975"],"state_sha256":"878487373da7731e7a73f1c719610134dcaa231278fbdb101c3f55450460d989"}