{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:DR7Z2ZPLEXQS7A33XG3KBED6A3","short_pith_number":"pith:DR7Z2ZPL","canonical_record":{"source":{"id":"2208.00241","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2022-07-30T14:51:58Z","cross_cats_sorted":[],"title_canon_sha256":"8bc0e88fe05e87894a06cf7ee635e8ce9ab97da8af6e4b7b4134641c84cf2ff3","abstract_canon_sha256":"7d2c23339b29550ca79f047e31116c5a16a88f037d043c65e57a2c8f97cd0c11"},"schema_version":"1.0"},"canonical_sha256":"1c7f9d65eb25e12f837bb9b6a0907e06cb96cfa4af9f8d6422103b840cd764bf","source":{"kind":"arxiv","id":"2208.00241","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.00241","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"2208.00241v2","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.00241","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"DR7Z2ZPLEXQS","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"pith_short_16","alias_value":"DR7Z2ZPLEXQS7A33","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"pith_short_8","alias_value":"DR7Z2ZPL","created_at":"2026-07-05T06:05:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:DR7Z2ZPLEXQS7A33XG3KBED6A3","target":"record","payload":{"canonical_record":{"source":{"id":"2208.00241","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2022-07-30T14:51:58Z","cross_cats_sorted":[],"title_canon_sha256":"8bc0e88fe05e87894a06cf7ee635e8ce9ab97da8af6e4b7b4134641c84cf2ff3","abstract_canon_sha256":"7d2c23339b29550ca79f047e31116c5a16a88f037d043c65e57a2c8f97cd0c11"},"schema_version":"1.0"},"canonical_sha256":"1c7f9d65eb25e12f837bb9b6a0907e06cb96cfa4af9f8d6422103b840cd764bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:05:28.497130Z","signature_b64":"lmLH1NycEeUj8XvtVIUboYBSqgf9hMdy91sUSBuiZyHnCKGibtqJa7wJPrbgO5kOyu1mO3EB2qUszuH0x5VwDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c7f9d65eb25e12f837bb9b6a0907e06cb96cfa4af9f8d6422103b840cd764bf","last_reissued_at":"2026-07-05T06:05:28.496742Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:05:28.496742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.00241","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:05:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i3Az2Liltc2vwORi1Q6WFV7v/PDJo3dv8AK1XgtcExqw8/GLh+DsBmQyZrtb0c3EQkwOCI2tHAzrCdass3s7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:36:06.283800Z"},"content_sha256":"aa612f4a779ff1cee7b85bf173c045109dffe27348acb66c281a5fe861c05dc6","schema_version":"1.0","event_id":"sha256:aa612f4a779ff1cee7b85bf173c045109dffe27348acb66c281a5fe861c05dc6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:DR7Z2ZPLEXQS7A33XG3KBED6A3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deligne categories and representations of the finite general linear group, part 1: universal property","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Inna Entova-Aizenbud, Thorsten Heidersdorf","submitted_at":"2022-07-30T14:51:58Z","abstract_excerpt":"We study the Deligne interpolation categories $\\underline{\\mathrm{Rep}}(GL_{t}(\\mathbb{F}_q))$ for $t\\in \\mathbb{C}$, first introduced by F. Knop. These categories interpolate the categories of finite dimensional complex representations of the finite general linear group $GL_n(\\mathbb{F}_q)$. We describe the morphism spaces in this category via generators and relations. We show that the generating object of this category (an analogue of the representation $\\mathbb{C}\\mathbb{F}_q^n$ of $GL_n(\\mathbb{F}_q)$) carries the structure of a Frobenius algebra with a compatible $\\mathbb{F}_q$-linear str"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.00241","kind":"arxiv","version":2},"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/2208.00241/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":"2026-07-05T06:05:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ccrdL8BAbzOVakdrpfqDlvxpQDFD7bEExbZKBaulVEq81sSwd3TWN2BJH/sl3xk75RRyK0Fm1qiTTS+nYpHwBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:36:06.284303Z"},"content_sha256":"4e07c976b34ba7246f30342a41156b70dab28b5816912a099e15a306c5f6d05a","schema_version":"1.0","event_id":"sha256:4e07c976b34ba7246f30342a41156b70dab28b5816912a099e15a306c5f6d05a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DR7Z2ZPLEXQS7A33XG3KBED6A3/bundle.json","state_url":"https://pith.science/pith/DR7Z2ZPLEXQS7A33XG3KBED6A3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DR7Z2ZPLEXQS7A33XG3KBED6A3/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":"2026-08-09T00:36:06Z","links":{"resolver":"https://pith.science/pith/DR7Z2ZPLEXQS7A33XG3KBED6A3","bundle":"https://pith.science/pith/DR7Z2ZPLEXQS7A33XG3KBED6A3/bundle.json","state":"https://pith.science/pith/DR7Z2ZPLEXQS7A33XG3KBED6A3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DR7Z2ZPLEXQS7A33XG3KBED6A3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:DR7Z2ZPLEXQS7A33XG3KBED6A3","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":"7d2c23339b29550ca79f047e31116c5a16a88f037d043c65e57a2c8f97cd0c11","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2022-07-30T14:51:58Z","title_canon_sha256":"8bc0e88fe05e87894a06cf7ee635e8ce9ab97da8af6e4b7b4134641c84cf2ff3"},"schema_version":"1.0","source":{"id":"2208.00241","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.00241","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"2208.00241v2","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.00241","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"DR7Z2ZPLEXQS","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"pith_short_16","alias_value":"DR7Z2ZPLEXQS7A33","created_at":"2026-07-05T06:05:28Z"},{"alias_kind":"pith_short_8","alias_value":"DR7Z2ZPL","created_at":"2026-07-05T06:05:28Z"}],"graph_snapshots":[{"event_id":"sha256:4e07c976b34ba7246f30342a41156b70dab28b5816912a099e15a306c5f6d05a","target":"graph","created_at":"2026-07-05T06:05:28Z","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/2208.00241/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the Deligne interpolation categories $\\underline{\\mathrm{Rep}}(GL_{t}(\\mathbb{F}_q))$ for $t\\in \\mathbb{C}$, first introduced by F. Knop. These categories interpolate the categories of finite dimensional complex representations of the finite general linear group $GL_n(\\mathbb{F}_q)$. We describe the morphism spaces in this category via generators and relations. We show that the generating object of this category (an analogue of the representation $\\mathbb{C}\\mathbb{F}_q^n$ of $GL_n(\\mathbb{F}_q)$) carries the structure of a Frobenius algebra with a compatible $\\mathbb{F}_q$-linear str","authors_text":"Inna Entova-Aizenbud, Thorsten Heidersdorf","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2022-07-30T14:51:58Z","title":"Deligne categories and representations of the finite general linear group, part 1: universal property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.00241","kind":"arxiv","version":2},"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:aa612f4a779ff1cee7b85bf173c045109dffe27348acb66c281a5fe861c05dc6","target":"record","created_at":"2026-07-05T06:05:28Z","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":"7d2c23339b29550ca79f047e31116c5a16a88f037d043c65e57a2c8f97cd0c11","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2022-07-30T14:51:58Z","title_canon_sha256":"8bc0e88fe05e87894a06cf7ee635e8ce9ab97da8af6e4b7b4134641c84cf2ff3"},"schema_version":"1.0","source":{"id":"2208.00241","kind":"arxiv","version":2}},"canonical_sha256":"1c7f9d65eb25e12f837bb9b6a0907e06cb96cfa4af9f8d6422103b840cd764bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c7f9d65eb25e12f837bb9b6a0907e06cb96cfa4af9f8d6422103b840cd764bf","first_computed_at":"2026-07-05T06:05:28.496742Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:05:28.496742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lmLH1NycEeUj8XvtVIUboYBSqgf9hMdy91sUSBuiZyHnCKGibtqJa7wJPrbgO5kOyu1mO3EB2qUszuH0x5VwDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:05:28.497130Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.00241","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa612f4a779ff1cee7b85bf173c045109dffe27348acb66c281a5fe861c05dc6","sha256:4e07c976b34ba7246f30342a41156b70dab28b5816912a099e15a306c5f6d05a"],"state_sha256":"65b8e4d3a6d15e27d04a9e97077e8d962bef5e97bb8cc9cbc0a56f3c069f57cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RDWXZxs2YFf8BR66pz2JAXF/aLFvw3hxbYb7JKKfqTGhcadmw/iVKbM26VTY+zJn9rvOrpOAAdEnGIddkLD3DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T00:36:06.288307Z","bundle_sha256":"30e3bc315d353ccab0de2dec58d07da974752462aa599b0a2f94cddcc929225e"}}