{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:QZ7WE2YOXMS7IMTRNFDMKU4MX7","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":"d31fee9d89d1647367427a715c6039f4fe60a2a4dc925a7b40636724c20e59c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-12-07T12:11:41Z","title_canon_sha256":"93352308dbd5251cddbecf739efd40312a4eb8c938b04abdf27ddf8ac689708d"},"schema_version":"1.0","source":{"id":"0912.1212","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.1212","created_at":"2026-05-18T04:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"0912.1212v2","created_at":"2026-05-18T04:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1212","created_at":"2026-05-18T04:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"QZ7WE2YOXMS7","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"QZ7WE2YOXMS7IMTR","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"QZ7WE2YO","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:f8aa00b1375953c595dca8f43664101c225c7313eef8773abed8eaa148e4f7bf","target":"graph","created_at":"2026-05-18T04:24:27Z","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 article has been withdrawn due to an error in a proof of the main result.","authors_text":"Mark Grant","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-12-07T12:11:41Z","title":"Topological Complexity and non-immersions of real projective space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1212","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":"sha256:704ea07a108deea4826e45e8c01f7cf0460b5adde59cc11be80ae1d6fbff53c7","target":"record","created_at":"2026-05-18T04:24:27Z","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":"d31fee9d89d1647367427a715c6039f4fe60a2a4dc925a7b40636724c20e59c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-12-07T12:11:41Z","title_canon_sha256":"93352308dbd5251cddbecf739efd40312a4eb8c938b04abdf27ddf8ac689708d"},"schema_version":"1.0","source":{"id":"0912.1212","kind":"arxiv","version":2}},"canonical_sha256":"867f626b0ebb25f432716946c5538cbff1f683c7407cce26d3f643e1d7f339c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"867f626b0ebb25f432716946c5538cbff1f683c7407cce26d3f643e1d7f339c4","first_computed_at":"2026-05-18T04:24:27.749165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:27.749165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fuqcoX9Z667Dpci5dN8uTQhDD/xC22bxXhb24IDuRTuXqLiNvhN9i7yh4mRXG2T+ktTP0wxnmE3guqvGj0YSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:27.749874Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.1212","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:704ea07a108deea4826e45e8c01f7cf0460b5adde59cc11be80ae1d6fbff53c7","sha256:f8aa00b1375953c595dca8f43664101c225c7313eef8773abed8eaa148e4f7bf"],"state_sha256":"e3a0ebd261ca4f651b53cc64ec9d1d15984779f38449fed12e91522e3c460162"}