{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:4TRXZ4CUBUFFQFW5JGC3FRYKEX","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":"90866b85e1f862cda4388ee03d91c4c08cc886cdf906738b9e785f09d8275482","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"1999-04-23T00:58:31Z","title_canon_sha256":"796dbdeb2ea14f93d83aa9732351d8669eb008ea7adf7e52740937ced47c6b06"},"schema_version":"1.0","source":{"id":"math/9904132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9904132","created_at":"2026-07-04T14:41:07Z"},{"alias_kind":"arxiv_version","alias_value":"math/9904132v1","created_at":"2026-07-04T14:41:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9904132","created_at":"2026-07-04T14:41:07Z"},{"alias_kind":"pith_short_12","alias_value":"4TRXZ4CUBUFF","created_at":"2026-07-04T14:41:07Z"},{"alias_kind":"pith_short_16","alias_value":"4TRXZ4CUBUFFQFW5","created_at":"2026-07-04T14:41:07Z"},{"alias_kind":"pith_short_8","alias_value":"4TRXZ4CU","created_at":"2026-07-04T14:41:07Z"}],"graph_snapshots":[{"event_id":"sha256:ca562a19c3ff99fcccc5550c83ef32ee34b7b9c565e9104b3cc4752ebe5a6bd2","target":"graph","created_at":"2026-07-04T14:41:07Z","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/9904132/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We state the analogs of Kontsevich's formality conjecture for Hochschild and cyclic chains, as well as their","authors_text":"Boris Tsygan","cross_cats":[],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"1999-04-23T00:58:31Z","title":"Formality conjecture for chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9904132","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:e6e8c7c3dca8e370580d4b404e7b5fadc655cd979b8f0d2b12f809060fa73d6b","target":"record","created_at":"2026-07-04T14:41:07Z","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":"90866b85e1f862cda4388ee03d91c4c08cc886cdf906738b9e785f09d8275482","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"1999-04-23T00:58:31Z","title_canon_sha256":"796dbdeb2ea14f93d83aa9732351d8669eb008ea7adf7e52740937ced47c6b06"},"schema_version":"1.0","source":{"id":"math/9904132","kind":"arxiv","version":1}},"canonical_sha256":"e4e37cf0540d0a5816dd4985b2c70a25e5351a7e54ee72e8d3b1ee04d9f0f12a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4e37cf0540d0a5816dd4985b2c70a25e5351a7e54ee72e8d3b1ee04d9f0f12a","first_computed_at":"2026-07-04T14:41:07.706121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:41:07.706121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mu9zOXMBYT0UGW0ZG4lAJ7fO17GtnOpKNR3DQlrKVMEWe6cKYA0/k34pJSbpqp4Hhq35eEGZtRkStovhhYjHBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:41:07.706614Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9904132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6e8c7c3dca8e370580d4b404e7b5fadc655cd979b8f0d2b12f809060fa73d6b","sha256:ca562a19c3ff99fcccc5550c83ef32ee34b7b9c565e9104b3cc4752ebe5a6bd2"],"state_sha256":"22778f33ab48af62495f2f909db86824daebfd2944257762b723eff426b5371b"}