{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:Z53XP3GKYS6EANKI6KJRKOGGMD","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":"5e7838a3dfd058adda4ae4aa11419f8a67821efc896891e512a4b066e0d000db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2021-09-27T15:10:46Z","title_canon_sha256":"8ca50c6b3594989899413ac56fd38c82d238cb06c945808032464f19572f04b6"},"schema_version":"1.0","source":{"id":"2109.13117","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.13117","created_at":"2026-07-05T03:59:24Z"},{"alias_kind":"arxiv_version","alias_value":"2109.13117v2","created_at":"2026-07-05T03:59:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.13117","created_at":"2026-07-05T03:59:24Z"},{"alias_kind":"pith_short_12","alias_value":"Z53XP3GKYS6E","created_at":"2026-07-05T03:59:24Z"},{"alias_kind":"pith_short_16","alias_value":"Z53XP3GKYS6EANKI","created_at":"2026-07-05T03:59:24Z"},{"alias_kind":"pith_short_8","alias_value":"Z53XP3GK","created_at":"2026-07-05T03:59:24Z"}],"graph_snapshots":[{"event_id":"sha256:3bfdd2927d7d85144cf118d280c217fd01e4f205976d6281569176a5026c6f0f","target":"graph","created_at":"2026-07-05T03:59:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2109.13117/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A minimal resolution of the mod 2 Steenrod algebra in the range $0 \\leq s \\leq 128$, $0 \\leq t \\leq 200$, together with chain maps for each cocycle in that range and for the squaring operation $Sq^0$ in the cohomology of the Steenrod algebra.","authors_text":"John Rognes, Robert R. Bruner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2021-09-27T15:10:46Z","title":"The cohomology of the mod 2 Steenrod algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.13117","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":"sha256:30fbe96ac7df5df10bb821d0c61d81f9b3bf11a71864132448b90ab38cc24bd8","target":"record","created_at":"2026-07-05T03:59:24Z","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":"5e7838a3dfd058adda4ae4aa11419f8a67821efc896891e512a4b066e0d000db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2021-09-27T15:10:46Z","title_canon_sha256":"8ca50c6b3594989899413ac56fd38c82d238cb06c945808032464f19572f04b6"},"schema_version":"1.0","source":{"id":"2109.13117","kind":"arxiv","version":2}},"canonical_sha256":"cf7777eccac4bc403548f2931538c660c31c2ea63450b346b548d6382c0e2b3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf7777eccac4bc403548f2931538c660c31c2ea63450b346b548d6382c0e2b3d","first_computed_at":"2026-07-05T03:59:24.551912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:59:24.551912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OqeCXeiKyeAgD/L6q2gsi2kAnEFH9QE76geB9gTFC1V+XpKcpircW4qYDt9jeODpYtr9IsNwOEkfjUUDv2uICQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:59:24.552328Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.13117","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30fbe96ac7df5df10bb821d0c61d81f9b3bf11a71864132448b90ab38cc24bd8","sha256:3bfdd2927d7d85144cf118d280c217fd01e4f205976d6281569176a5026c6f0f"],"state_sha256":"16738cb6159a83dc6e1ef90429c0fb30add8cd688517e9686420275e61e3fafa"}