{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:UIG3HTCHJU47H5NTBMJ2HOMVNQ","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":"e3aa265d5a773fed13189bfc1d8673f2e14d6d22ff0b493ada15e219015a4122","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2022-06-28T14:31:12Z","title_canon_sha256":"342ae384cd43c90f53a731e9669f98131d0a940ac14859bd130c7f69dd440179"},"schema_version":"1.0","source":{"id":"2206.14033","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.14033","created_at":"2026-07-05T09:17:30Z"},{"alias_kind":"arxiv_version","alias_value":"2206.14033v3","created_at":"2026-07-05T09:17:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.14033","created_at":"2026-07-05T09:17:30Z"},{"alias_kind":"pith_short_12","alias_value":"UIG3HTCHJU47","created_at":"2026-07-05T09:17:30Z"},{"alias_kind":"pith_short_16","alias_value":"UIG3HTCHJU47H5NT","created_at":"2026-07-05T09:17:30Z"},{"alias_kind":"pith_short_8","alias_value":"UIG3HTCH","created_at":"2026-07-05T09:17:30Z"}],"graph_snapshots":[{"event_id":"sha256:0954a43c7573cb23ad8df79388204a319b6c03d7e60526cbef8585973b6adf72","target":"graph","created_at":"2026-07-05T09:17:30Z","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/2206.14033/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we prove the equivalence of two symmetric monoidal $\\infty$-categories of $\\infty$-operads, the one defined in Lurie's book on Higher Algebra and the one based on dendroidal spaces. V.2 Some corrections made and exposition slightly altered.","authors_text":"Ieke Moerdijk, Vladimir Hinich","cross_cats":["math.AT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2022-06-28T14:31:12Z","title":"On the equivalence of the Lurie's $\\infty$-operads and dendroidal $\\infty$-operads"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.14033","kind":"arxiv","version":3},"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":"sha256:34f116d89d090bf99fd5f6b8afb797f1fd0f630beae740a8ae308025edcc8cbf","target":"record","created_at":"2026-07-05T09:17:30Z","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":"e3aa265d5a773fed13189bfc1d8673f2e14d6d22ff0b493ada15e219015a4122","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2022-06-28T14:31:12Z","title_canon_sha256":"342ae384cd43c90f53a731e9669f98131d0a940ac14859bd130c7f69dd440179"},"schema_version":"1.0","source":{"id":"2206.14033","kind":"arxiv","version":3}},"canonical_sha256":"a20db3cc474d39f3f5b30b13a3b9956c1be2a0ba01b38958c6305e0ead4b0aa9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a20db3cc474d39f3f5b30b13a3b9956c1be2a0ba01b38958c6305e0ead4b0aa9","first_computed_at":"2026-07-05T09:17:30.871882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:17:30.871882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"890aVCericifA+x9GSlI5fRUGzg4a4LUHVjH4K5nIv6wKISPMfvCUcjSW5gFIYNqyFy5yMwae8jQVq1P80N3Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:17:30.872256Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.14033","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34f116d89d090bf99fd5f6b8afb797f1fd0f630beae740a8ae308025edcc8cbf","sha256:0954a43c7573cb23ad8df79388204a319b6c03d7e60526cbef8585973b6adf72"],"state_sha256":"95a11192287da6a48136916d53bd97f7459e5788fa5ae62ec0fa5aafbcadec8f"}