{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:G5HD3MP3J35TLQWDKVDO777VWU","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":"46ea76d1ad3ea05bb5b0f0e06c97eeba1c2a2a3fe268eb6f6c5c9c556c15378d","cross_cats_sorted":["math.AT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-04-19T00:29:41Z","title_canon_sha256":"c8461186bff04bdb624856c3f0af0a86721857c319486f9e7d9bb9ce9d882388"},"schema_version":"1.0","source":{"id":"1104.3607","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3607","created_at":"2026-05-18T03:59:03Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3607v2","created_at":"2026-05-18T03:59:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3607","created_at":"2026-05-18T03:59:03Z"},{"alias_kind":"pith_short_12","alias_value":"G5HD3MP3J35T","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"G5HD3MP3J35TLQWD","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"G5HD3MP3","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:993add3e3e73341745cfff1c0c6f0de16796ae7bb0d856db9e7aa2b696a894ef","target":"graph","created_at":"2026-05-18T03:59:03Z","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":"In this paper we study the homology of 2 versions of the swiss-cheese operad. We prove that the zeroth homology of these two versions are Koszul operads and relate this to strong homotopy Lebiniz pairs and OCHA, defined by Kajiura and Stasheff.","authors_text":"Eduardo Hoefel, Muriel Livernet","cross_cats":["math.AT","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-04-19T00:29:41Z","title":"OCHA and Leibniz Pairs, towards a Koszul duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3607","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":"sha256:39bfb74b8fd829316a67ae2bf84ba0dd88eb6ba603424e9aa4d6779ac3c5e180","target":"record","created_at":"2026-05-18T03:59:03Z","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":"46ea76d1ad3ea05bb5b0f0e06c97eeba1c2a2a3fe268eb6f6c5c9c556c15378d","cross_cats_sorted":["math.AT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-04-19T00:29:41Z","title_canon_sha256":"c8461186bff04bdb624856c3f0af0a86721857c319486f9e7d9bb9ce9d882388"},"schema_version":"1.0","source":{"id":"1104.3607","kind":"arxiv","version":2}},"canonical_sha256":"374e3db1fb4efb35c2c35546effff5b52d385c5eea08729305c3509973f27c87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"374e3db1fb4efb35c2c35546effff5b52d385c5eea08729305c3509973f27c87","first_computed_at":"2026-05-18T03:59:03.263485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:03.263485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rabBTsCATok78UXNOf87dtxwnbKyrHkM8GTGURh1dckVOrLRKhDt0uaO/wwWT9pFOn2zn3o+pwGMpHkiDpHXCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:03.264210Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3607","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39bfb74b8fd829316a67ae2bf84ba0dd88eb6ba603424e9aa4d6779ac3c5e180","sha256:993add3e3e73341745cfff1c0c6f0de16796ae7bb0d856db9e7aa2b696a894ef"],"state_sha256":"173b736c90b92d1793224a3a2d98a4ea324c63d2278fcb8c003b953937c1e81f"}