{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:LB2MOCRXPGABJ4PL663XGNMO52","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":"27af97cffb6895dc45aeffea7991678ad6ccf38e4a3a816cd921526585afc5f2","cross_cats_sorted":["math.CT","math.GT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.QA","submitted_at":"2021-04-28T15:51:40Z","title_canon_sha256":"dc526fedec36e55834f71e2d4850f630c9a7ce512abeca69734460f86d1c5d66"},"schema_version":"1.0","source":{"id":"2104.13848","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.13848","created_at":"2026-07-05T04:30:51Z"},{"alias_kind":"arxiv_version","alias_value":"2104.13848v3","created_at":"2026-07-05T04:30:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.13848","created_at":"2026-07-05T04:30:51Z"},{"alias_kind":"pith_short_12","alias_value":"LB2MOCRXPGAB","created_at":"2026-07-05T04:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"LB2MOCRXPGABJ4PL","created_at":"2026-07-05T04:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"LB2MOCRX","created_at":"2026-07-05T04:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:be8935d9a596885707c86434e4070ae9ac26a57c748fef6ce5b4a96775ef400d","target":"graph","created_at":"2026-07-05T04:30:51Z","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/2104.13848/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give an explicit correspondence between stated skein algebras, which are defined via explicit relations on stated tangles in [Costantino F., L\\^e T.T.Q., arXiv:1907.11400], and internal skein algebras, which are defined as internal endomorphism algebras in free cocompletions of skein categories in [Ben-Zvi D., Brochier A., Jordan D., J. Topol. 11 (2018), 874-917, arXiv:1501.04652] or in [Gunningham S., Jordan D., Safronov P., arXiv:1908.05233]. Stated skein algebras are defined on surfaces with multiple boundary edges and we generalise internal skein algebras in this context. Now, one needs","authors_text":"Benjamin Ha\\\"ioun","cross_cats":["math.CT","math.GT"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.QA","submitted_at":"2021-04-28T15:51:40Z","title":"Relating stated skein algebras and internal skein algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.13848","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":"sha256:9eb0f7e90ff7edf590c6b985e8aefff37f1ceb01992629f2e33f3969979f5286","target":"record","created_at":"2026-07-05T04:30:51Z","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":"27af97cffb6895dc45aeffea7991678ad6ccf38e4a3a816cd921526585afc5f2","cross_cats_sorted":["math.CT","math.GT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.QA","submitted_at":"2021-04-28T15:51:40Z","title_canon_sha256":"dc526fedec36e55834f71e2d4850f630c9a7ce512abeca69734460f86d1c5d66"},"schema_version":"1.0","source":{"id":"2104.13848","kind":"arxiv","version":3}},"canonical_sha256":"5874c70a37798014f1ebf7b773358eee9f349cd066f75462a90129c3c5f9d617","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5874c70a37798014f1ebf7b773358eee9f349cd066f75462a90129c3c5f9d617","first_computed_at":"2026-07-05T04:30:51.097607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:30:51.097607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TMok24Up1wa220AD1AeLJ80VhvGxNmpwJv4w3NRC6Xmy1rYKL4KZYZQty/KO9j/CmBDgmn61ePP9bKBEfMT8Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:30:51.097991Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.13848","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9eb0f7e90ff7edf590c6b985e8aefff37f1ceb01992629f2e33f3969979f5286","sha256:be8935d9a596885707c86434e4070ae9ac26a57c748fef6ce5b4a96775ef400d"],"state_sha256":"192f01b8296b62726f3cc352c2d5a39e23f4138428ecdcf24932b3e0959040bb"}