{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CDUHD4J4V2SQAMQ7ZAH3676U7C","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":"c56631f76f1466ed3b14c0c3e7470de2d9df9642747ee132d005e7e1ee72dc84","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2023-06-13T20:12:41Z","title_canon_sha256":"c58a9c40a65c5450ac9a5f38e91d55d2f7d77bb0068171a179f457e2e1785977"},"schema_version":"1.0","source":{"id":"2306.08115","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.08115","created_at":"2026-07-05T07:57:26Z"},{"alias_kind":"arxiv_version","alias_value":"2306.08115v3","created_at":"2026-07-05T07:57:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.08115","created_at":"2026-07-05T07:57:26Z"},{"alias_kind":"pith_short_12","alias_value":"CDUHD4J4V2SQ","created_at":"2026-07-05T07:57:26Z"},{"alias_kind":"pith_short_16","alias_value":"CDUHD4J4V2SQAMQ7","created_at":"2026-07-05T07:57:26Z"},{"alias_kind":"pith_short_8","alias_value":"CDUHD4J4","created_at":"2026-07-05T07:57:26Z"}],"graph_snapshots":[{"event_id":"sha256:0bd2fdef835f736fef0ab577804d2493c230dddfd9a6df33c25b24fa2b039b98","target":"graph","created_at":"2026-07-05T07:57:26Z","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/2306.08115/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $\\mathcal{O} \\to \\mathrm{BM}$ be a $ \\mathrm{BM}$-operad that exhibits an $\\infty$-category $\\mathcal{D}$ as weakly bitensored over non-symmetric $\\infty$-operads $\\mathcal{V}, \\mathcal{W}$ and $\\mathcal{C}$ a $\\mathcal{V}$-enriched $\\infty$-precategory. We construct an equivalence $$\\mathrm{Fun}_{\\mathrm{Hin}}^{\\mathcal{V}}(\\mathcal{C},\\mathcal{D}) \\simeq \\mathrm{Fun}^{\\mathcal{V}}(\\mathcal{C},\\mathcal{D}) $$ of $\\infty$-categories weakly right tensored over $\\mathcal{W}$ between two different models of $\\infty$-categories of $\\mathcal{V}$-enriched functors, one introduced by Hinich and o","authors_text":"Hadrian Heine","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2023-06-13T20:12:41Z","title":"An equivalence between two models of $\\infty$-categories of enriched presheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.08115","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":"sha256:44201b8e469b930f53769684fa87c8ed7a769299ff665da1baa418f3574a14a1","target":"record","created_at":"2026-07-05T07:57:26Z","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":"c56631f76f1466ed3b14c0c3e7470de2d9df9642747ee132d005e7e1ee72dc84","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2023-06-13T20:12:41Z","title_canon_sha256":"c58a9c40a65c5450ac9a5f38e91d55d2f7d77bb0068171a179f457e2e1785977"},"schema_version":"1.0","source":{"id":"2306.08115","kind":"arxiv","version":3}},"canonical_sha256":"10e871f13caea500321fc80fbf7fd4f89b65aeeb838bcacecfa1846a20afe4e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10e871f13caea500321fc80fbf7fd4f89b65aeeb838bcacecfa1846a20afe4e6","first_computed_at":"2026-07-05T07:57:26.996352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:57:26.996352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cjDhcq+q9Jww/xusfaTFubNyGDzfqar5mx4ivcQPOELwhhFPIl53M/kAv+0VMu3McmaE+WmemLDjf5edTsG1Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:57:26.996785Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.08115","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44201b8e469b930f53769684fa87c8ed7a769299ff665da1baa418f3574a14a1","sha256:0bd2fdef835f736fef0ab577804d2493c230dddfd9a6df33c25b24fa2b039b98"],"state_sha256":"14519128b072ac79d7b6866792ae732dab60abee69c23b2a008521ee49770e78"}