{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:DTZZENTIOXE2YGEBB3OS6XDJNY","short_pith_number":"pith:DTZZENTI","canonical_record":{"source":{"id":"2407.09302","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-07-12T14:34:48Z","cross_cats_sorted":[],"title_canon_sha256":"70756036026246eaafd0ef33ba61baa4b8c34c1effa604cf7ad1006479eabff5","abstract_canon_sha256":"f4ac9bf670845ac3598cff112c3c1a3ab011d83205396ba1cc00858dbae8a509"},"schema_version":"1.0"},"canonical_sha256":"1cf392366875c9ac18810edd2f5c696e1732b9305191c5248c060439dd6035a4","source":{"kind":"arxiv","id":"2407.09302","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.09302","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"2407.09302v1","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.09302","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"DTZZENTIOXE2","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"pith_short_16","alias_value":"DTZZENTIOXE2YGEB","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"pith_short_8","alias_value":"DTZZENTI","created_at":"2026-07-05T08:43:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:DTZZENTIOXE2YGEBB3OS6XDJNY","target":"record","payload":{"canonical_record":{"source":{"id":"2407.09302","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-07-12T14:34:48Z","cross_cats_sorted":[],"title_canon_sha256":"70756036026246eaafd0ef33ba61baa4b8c34c1effa604cf7ad1006479eabff5","abstract_canon_sha256":"f4ac9bf670845ac3598cff112c3c1a3ab011d83205396ba1cc00858dbae8a509"},"schema_version":"1.0"},"canonical_sha256":"1cf392366875c9ac18810edd2f5c696e1732b9305191c5248c060439dd6035a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:43:17.602034Z","signature_b64":"2sWMFNQeKzOpKBg8liCJchtpCF+zXQ1OgyR/ZqUyqtv5ATiISJoDKDrhD2ouGZ3cxjqvo18iYHOQMQ/oxc/CBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1cf392366875c9ac18810edd2f5c696e1732b9305191c5248c060439dd6035a4","last_reissued_at":"2026-07-05T08:43:17.601570Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:43:17.601570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.09302","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3OWuyoXvpbMOFcEXdyyJ81G8FEaTMjDV+SmU1NFk8pi4N8Nl0m/NrC9WNAgD/in2PRdR3Q96X3CRQeiGg7gyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T18:30:15.946013Z"},"content_sha256":"70315be276c67a86974f9ab49b3f359e5a730a3e9fecdc15311c2519b7a77558","schema_version":"1.0","event_id":"sha256:70315be276c67a86974f9ab49b3f359e5a730a3e9fecdc15311c2519b7a77558"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:DTZZENTIOXE2YGEBB3OS6XDJNY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Excision for Spaces of Admissible Skeins","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Christoph Schweigert, Ingo Runkel, Ying Hong Tham","submitted_at":"2024-07-12T14:34:48Z","abstract_excerpt":"The skein module for a d-dimensional manifold is a vector space spanned by embedded framed graphs decorated by a category A with suitable extra structure depending on the dimension d, modulo local relations which hold inside d-balls. For a full subcategory S of A, an S-admissible skein module is defined analogously, except that local relations for a given ball may only be applied if outside the ball at least one edge is coloured in S.\n  In this paper we prove that admissible skein modules in any dimension satisfy excision, namely that the skein module of a glued manifold is expressed as a coen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.09302","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.09302/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xEmjKb8x0ketjYs5SvQajBRlcMUIILeB8TrgrMysE6EHFEt310CZolhhntTwrj6/+MI8EyjmL9QK85VUR3pIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T18:30:15.946759Z"},"content_sha256":"85f777d4875b2633cb8d30607ede022185c8e79907788656908a62a668a03382","schema_version":"1.0","event_id":"sha256:85f777d4875b2633cb8d30607ede022185c8e79907788656908a62a668a03382"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DTZZENTIOXE2YGEBB3OS6XDJNY/bundle.json","state_url":"https://pith.science/pith/DTZZENTIOXE2YGEBB3OS6XDJNY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DTZZENTIOXE2YGEBB3OS6XDJNY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T18:30:15Z","links":{"resolver":"https://pith.science/pith/DTZZENTIOXE2YGEBB3OS6XDJNY","bundle":"https://pith.science/pith/DTZZENTIOXE2YGEBB3OS6XDJNY/bundle.json","state":"https://pith.science/pith/DTZZENTIOXE2YGEBB3OS6XDJNY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DTZZENTIOXE2YGEBB3OS6XDJNY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DTZZENTIOXE2YGEBB3OS6XDJNY","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":"f4ac9bf670845ac3598cff112c3c1a3ab011d83205396ba1cc00858dbae8a509","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-07-12T14:34:48Z","title_canon_sha256":"70756036026246eaafd0ef33ba61baa4b8c34c1effa604cf7ad1006479eabff5"},"schema_version":"1.0","source":{"id":"2407.09302","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.09302","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"2407.09302v1","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.09302","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"DTZZENTIOXE2","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"pith_short_16","alias_value":"DTZZENTIOXE2YGEB","created_at":"2026-07-05T08:43:17Z"},{"alias_kind":"pith_short_8","alias_value":"DTZZENTI","created_at":"2026-07-05T08:43:17Z"}],"graph_snapshots":[{"event_id":"sha256:85f777d4875b2633cb8d30607ede022185c8e79907788656908a62a668a03382","target":"graph","created_at":"2026-07-05T08:43:17Z","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/2407.09302/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The skein module for a d-dimensional manifold is a vector space spanned by embedded framed graphs decorated by a category A with suitable extra structure depending on the dimension d, modulo local relations which hold inside d-balls. For a full subcategory S of A, an S-admissible skein module is defined analogously, except that local relations for a given ball may only be applied if outside the ball at least one edge is coloured in S.\n  In this paper we prove that admissible skein modules in any dimension satisfy excision, namely that the skein module of a glued manifold is expressed as a coen","authors_text":"Christoph Schweigert, Ingo Runkel, Ying Hong Tham","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-07-12T14:34:48Z","title":"Excision for Spaces of Admissible Skeins"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.09302","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":"sha256:70315be276c67a86974f9ab49b3f359e5a730a3e9fecdc15311c2519b7a77558","target":"record","created_at":"2026-07-05T08:43:17Z","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":"f4ac9bf670845ac3598cff112c3c1a3ab011d83205396ba1cc00858dbae8a509","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-07-12T14:34:48Z","title_canon_sha256":"70756036026246eaafd0ef33ba61baa4b8c34c1effa604cf7ad1006479eabff5"},"schema_version":"1.0","source":{"id":"2407.09302","kind":"arxiv","version":1}},"canonical_sha256":"1cf392366875c9ac18810edd2f5c696e1732b9305191c5248c060439dd6035a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1cf392366875c9ac18810edd2f5c696e1732b9305191c5248c060439dd6035a4","first_computed_at":"2026-07-05T08:43:17.601570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:43:17.601570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2sWMFNQeKzOpKBg8liCJchtpCF+zXQ1OgyR/ZqUyqtv5ATiISJoDKDrhD2ouGZ3cxjqvo18iYHOQMQ/oxc/CBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:43:17.602034Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.09302","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70315be276c67a86974f9ab49b3f359e5a730a3e9fecdc15311c2519b7a77558","sha256:85f777d4875b2633cb8d30607ede022185c8e79907788656908a62a668a03382"],"state_sha256":"54b6f6be2effde82088cc0db2157562bf36ded8687ab9dd2a953f054443c139a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tkMmPhRt8ifeHLF50IE6BDqe0XTt9JOdj27omNKUMo8oAC+4BWquyTDSnpHX02W1bovV8RA7ADT0vFcJegbVDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T18:30:15.950283Z","bundle_sha256":"444d6b4370c00857b0f4a7e5870e681e8f0efb75f4f74afb507ed966768165a3"}}