{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:H3PGSNJ52KBS4TNRI64NLPJ3YE","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":"5c425dac1eedfdb88769d80dd114885c863de8a4d8f279d0137a59881ec09dc9","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-01-07T12:15:41Z","title_canon_sha256":"b0469f600653ea4db68e9fb8f06ce20936500b66091b5768b618bc0c09e86565"},"schema_version":"1.0","source":{"id":"2501.03726","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.03726","created_at":"2026-05-26T02:03:47Z"},{"alias_kind":"arxiv_version","alias_value":"2501.03726v2","created_at":"2026-05-26T02:03:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.03726","created_at":"2026-05-26T02:03:47Z"},{"alias_kind":"pith_short_12","alias_value":"H3PGSNJ52KBS","created_at":"2026-05-26T02:03:47Z"},{"alias_kind":"pith_short_16","alias_value":"H3PGSNJ52KBS4TNR","created_at":"2026-05-26T02:03:47Z"},{"alias_kind":"pith_short_8","alias_value":"H3PGSNJ5","created_at":"2026-05-26T02:03:47Z"}],"graph_snapshots":[{"event_id":"sha256:07625719aefa64a3bddfcd22f9cdced1a2b80a2bb15ef94e14038a27213d1d51","target":"graph","created_at":"2026-05-26T02:03:47Z","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/2501.03726/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The little $n$-disks operad is $SO(n)$ and $O(n)$-equivariantly formal over the rationals. Equivalently, the oriented and unoriented framed little disks operads are rationally formal as $\\infty$-operads.","authors_text":"Geoffroy Horel, Joana Cirici, Pedro Boavida de Brito","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-01-07T12:15:41Z","title":"Equivariant formality of the little disks operad"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.03726","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":"sha256:66513c8648468b1348688fda55b6094a2848f894341982a3adf55081c4e16787","target":"record","created_at":"2026-05-26T02:03:47Z","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":"5c425dac1eedfdb88769d80dd114885c863de8a4d8f279d0137a59881ec09dc9","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-01-07T12:15:41Z","title_canon_sha256":"b0469f600653ea4db68e9fb8f06ce20936500b66091b5768b618bc0c09e86565"},"schema_version":"1.0","source":{"id":"2501.03726","kind":"arxiv","version":2}},"canonical_sha256":"3ede69353dd2832e4db147b8d5bd3bc104ced655600d1ce6ab499b611021227f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ede69353dd2832e4db147b8d5bd3bc104ced655600d1ce6ab499b611021227f","first_computed_at":"2026-05-26T02:03:47.811869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:03:47.811869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w2V/uOtBd0E3HshHcrsHd+6JbdsVOx3IA4yLeZyrfv4uzmekiM3ynCPmLU3zcRDbM7C1RR9BW6+bE4ktdD/DBQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:03:47.812772Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.03726","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66513c8648468b1348688fda55b6094a2848f894341982a3adf55081c4e16787","sha256:07625719aefa64a3bddfcd22f9cdced1a2b80a2bb15ef94e14038a27213d1d51"],"state_sha256":"3192fb6e4f2d8a364b84376850e5bae84e9f4654f58f028c977092e770c6bef5"}