{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:NDU33EISZPLJU2FALUEH22JQCK","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":"af65ea919d08d893b4241f9febae2995c8837811fc82cda4d4823bbe016f09ab","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2002-02-05T17:09:39Z","title_canon_sha256":"001fa2fd2328f7f7245cbe4d0e385b4ae2ada11e13f5ccff2029af6c2b2a0ad4"},"schema_version":"1.0","source":{"id":"math/0202039","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0202039","created_at":"2026-07-04T14:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"math/0202039v1","created_at":"2026-07-04T14:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0202039","created_at":"2026-07-04T14:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"NDU33EISZPLJ","created_at":"2026-07-04T14:35:54Z"},{"alias_kind":"pith_short_16","alias_value":"NDU33EISZPLJU2FA","created_at":"2026-07-04T14:35:54Z"},{"alias_kind":"pith_short_8","alias_value":"NDU33EIS","created_at":"2026-07-04T14:35:54Z"}],"graph_snapshots":[{"event_id":"sha256:224a7d821f1860dbb88fde9c19304cd2d19e83af8ee7ccf5faf1f0d85b653ce5","target":"graph","created_at":"2026-07-04T14:35:54Z","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/math/0202039/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Action of the graded Grothendieck-Teichmueller (GT) group on a resolution of the operad of Gerstenhaber algebras (GA) is defined. It is shown that the induced Lie algebra action is homotopically non-trivial (i.e. the induced map from the Lie algebra of the graded GT group to the deformation complex of the operad of GA is injective).","authors_text":"Dimitri Tamarkin","cross_cats":[],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2002-02-05T17:09:39Z","title":"Action of the Grothendieck-Teichmueller group on the operad of Gerstenhaber algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0202039","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:aecc42b08e1bd4073dd863c6680cb17f08e1f102405bbec07f3d8a5df1a2e696","target":"record","created_at":"2026-07-04T14:35:54Z","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":"af65ea919d08d893b4241f9febae2995c8837811fc82cda4d4823bbe016f09ab","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2002-02-05T17:09:39Z","title_canon_sha256":"001fa2fd2328f7f7245cbe4d0e385b4ae2ada11e13f5ccff2029af6c2b2a0ad4"},"schema_version":"1.0","source":{"id":"math/0202039","kind":"arxiv","version":1}},"canonical_sha256":"68e9bd9112cbd69a68a05d087d693012a88e763c8eb44bccb48b5118dfaa8960","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68e9bd9112cbd69a68a05d087d693012a88e763c8eb44bccb48b5118dfaa8960","first_computed_at":"2026-07-04T14:35:54.398476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:35:54.398476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XS0Ch4+T4mh76YGIBZVwMlsLNi+Rs5Z0EW0fcK/LQEa0Mx1jwYSiV5gz9vgapfP3hmbxPH+n9Rf70jD80bQ9Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:35:54.398825Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0202039","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aecc42b08e1bd4073dd863c6680cb17f08e1f102405bbec07f3d8a5df1a2e696","sha256:224a7d821f1860dbb88fde9c19304cd2d19e83af8ee7ccf5faf1f0d85b653ce5"],"state_sha256":"18fd209792b7468f323ae2b88a67d1224fa6832c60b501472c7798b876e45fbe"}