{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HEPM2NEKU7CEOGRSCFZFOXJUI5","short_pith_number":"pith:HEPM2NEK","schema_version":"1.0","canonical_sha256":"391ecd348aa7c4471a321172575d34474397a2937b360c0b42e092bd1ef1f5e8","source":{"kind":"arxiv","id":"1711.04701","version":1},"attestation_state":"computed","paper":{"title":"The cohomology of the full directed graph complex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.KT","authors_text":"Christopher L. Rogers, Vasily A. Dolgushev","submitted_at":"2017-11-13T16:52:43Z","abstract_excerpt":"In his seminal paper \"Formality conjecture\", M. Kontsevich introduced a graph complex $GC_{1ve}$ closely connected with the problem of constructing a formality quasi-isomorphism for Hochschild cochains. In this paper, we express the cohomology of the full directed graph complex explicitly in terms of the cohomology of $GC_{1ve}$. Applications of our results include a recent work by the first author which completely characterizes homotopy classes of formality quasi-isomorphisms for Hochschild cochains in the stable setting."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1711.04701","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-11-13T16:52:43Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"667cb38945b12ee41f947f1fe23235f45dd419734e865fac8ee4c7f3255c3e96","abstract_canon_sha256":"3ecc0c583ca9eba3afb4e373d0554979c381d58ccb99149678d5222f5ac6adcc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:35.887967Z","signature_b64":"ZFGh2Ak0X6J6mZ99QOcCymSg1eXrn/fhZrHZMvHpuNW+ow0HvQkNpXZGsnqNtOwriHUqhYoRWB1XOXXfxVSCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"391ecd348aa7c4471a321172575d34474397a2937b360c0b42e092bd1ef1f5e8","last_reissued_at":"2026-05-18T00:30:35.887368Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:35.887368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The cohomology of the full directed graph complex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.KT","authors_text":"Christopher L. Rogers, Vasily A. Dolgushev","submitted_at":"2017-11-13T16:52:43Z","abstract_excerpt":"In his seminal paper \"Formality conjecture\", M. Kontsevich introduced a graph complex $GC_{1ve}$ closely connected with the problem of constructing a formality quasi-isomorphism for Hochschild cochains. In this paper, we express the cohomology of the full directed graph complex explicitly in terms of the cohomology of $GC_{1ve}$. Applications of our results include a recent work by the first author which completely characterizes homotopy classes of formality quasi-isomorphisms for Hochschild cochains in the stable setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04701","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1711.04701","created_at":"2026-05-18T00:30:35.887464+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.04701v1","created_at":"2026-05-18T00:30:35.887464+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04701","created_at":"2026-05-18T00:30:35.887464+00:00"},{"alias_kind":"pith_short_12","alias_value":"HEPM2NEKU7CE","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HEPM2NEKU7CEOGRS","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HEPM2NEK","created_at":"2026-05-18T12:31:18.294218+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HEPM2NEKU7CEOGRSCFZFOXJUI5","json":"https://pith.science/pith/HEPM2NEKU7CEOGRSCFZFOXJUI5.json","graph_json":"https://pith.science/api/pith-number/HEPM2NEKU7CEOGRSCFZFOXJUI5/graph.json","events_json":"https://pith.science/api/pith-number/HEPM2NEKU7CEOGRSCFZFOXJUI5/events.json","paper":"https://pith.science/paper/HEPM2NEK"},"agent_actions":{"view_html":"https://pith.science/pith/HEPM2NEKU7CEOGRSCFZFOXJUI5","download_json":"https://pith.science/pith/HEPM2NEKU7CEOGRSCFZFOXJUI5.json","view_paper":"https://pith.science/paper/HEPM2NEK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.04701&json=true","fetch_graph":"https://pith.science/api/pith-number/HEPM2NEKU7CEOGRSCFZFOXJUI5/graph.json","fetch_events":"https://pith.science/api/pith-number/HEPM2NEKU7CEOGRSCFZFOXJUI5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HEPM2NEKU7CEOGRSCFZFOXJUI5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HEPM2NEKU7CEOGRSCFZFOXJUI5/action/storage_attestation","attest_author":"https://pith.science/pith/HEPM2NEKU7CEOGRSCFZFOXJUI5/action/author_attestation","sign_citation":"https://pith.science/pith/HEPM2NEKU7CEOGRSCFZFOXJUI5/action/citation_signature","submit_replication":"https://pith.science/pith/HEPM2NEKU7CEOGRSCFZFOXJUI5/action/replication_record"}},"created_at":"2026-05-18T00:30:35.887464+00:00","updated_at":"2026-05-18T00:30:35.887464+00:00"}