{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QDCTUTSIGFKYON6ZVQQMB2PZRN","short_pith_number":"pith:QDCTUTSI","canonical_record":{"source":{"id":"1804.07082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-19T10:56:37Z","cross_cats_sorted":[],"title_canon_sha256":"1f386259418421b252c6869ca3825702cc2add517cc2303568c14fd52e7ebb01","abstract_canon_sha256":"13ed1caf5ac8821fc4d95acd7d6496856b65ee4af618571768617355cd74a42d"},"schema_version":"1.0"},"canonical_sha256":"80c53a4e4831558737d9ac20c0e9f98b4d2134cf00ecdb0d61cc40ac32dd6d26","source":{"kind":"arxiv","id":"1804.07082","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07082","created_at":"2026-05-18T00:18:01Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07082v1","created_at":"2026-05-18T00:18:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07082","created_at":"2026-05-18T00:18:01Z"},{"alias_kind":"pith_short_12","alias_value":"QDCTUTSIGFKY","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QDCTUTSIGFKYON6Z","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QDCTUTSI","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QDCTUTSIGFKYON6ZVQQMB2PZRN","target":"record","payload":{"canonical_record":{"source":{"id":"1804.07082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-19T10:56:37Z","cross_cats_sorted":[],"title_canon_sha256":"1f386259418421b252c6869ca3825702cc2add517cc2303568c14fd52e7ebb01","abstract_canon_sha256":"13ed1caf5ac8821fc4d95acd7d6496856b65ee4af618571768617355cd74a42d"},"schema_version":"1.0"},"canonical_sha256":"80c53a4e4831558737d9ac20c0e9f98b4d2134cf00ecdb0d61cc40ac32dd6d26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:01.534030Z","signature_b64":"qETdfGI1SlP7bzWv2rlLZffzhjSy1eeQ5PEUwBt+dDRfJagjBYnl6v+P4hNLVfm2dkOaY3h1MX5CUEF+NZBEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80c53a4e4831558737d9ac20c0e9f98b4d2134cf00ecdb0d61cc40ac32dd6d26","last_reissued_at":"2026-05-18T00:18:01.533533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:01.533533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.07082","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":"2026-05-18T00:18:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WDcrjdstWeu+VejEknOxcHDJnHZIMdzTzvX/y1Tv0Bsh0E/teXLzcyfW+JpXTkedhgodpyiispF05Trbs2w9Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:30:07.989540Z"},"content_sha256":"78a315a08aceceed32a6e98dda49d2e72445b9195f41e5b37cda0201149a58ca","schema_version":"1.0","event_id":"sha256:78a315a08aceceed32a6e98dda49d2e72445b9195f41e5b37cda0201149a58ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QDCTUTSIGFKYON6ZVQQMB2PZRN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cell Structure of Bimodules over Radical Square Zero Nakayama Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Helena Jonsson","submitted_at":"2018-04-19T10:56:37Z","abstract_excerpt":"We describe the combinatorics of the cell structure of the tensor category of bimodules over a radical square zero Nakayama algebra. This accounts to an explicit description of left, right, and two-sided cells."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07082","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":""},"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":"2026-05-18T00:18:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9MyHaQTGTF++gq84u3+INz9cEioMUYA13zKUkT/8w+EWdVQm0h53zYRIjH8+JWykZXFBxM4pahyjGCagSQBXBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:30:07.989890Z"},"content_sha256":"87b25392e2b0684a16225603d88f6fd89d9d1d52e3f3e8845843bf2f1252adf6","schema_version":"1.0","event_id":"sha256:87b25392e2b0684a16225603d88f6fd89d9d1d52e3f3e8845843bf2f1252adf6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QDCTUTSIGFKYON6ZVQQMB2PZRN/bundle.json","state_url":"https://pith.science/pith/QDCTUTSIGFKYON6ZVQQMB2PZRN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QDCTUTSIGFKYON6ZVQQMB2PZRN/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":"2026-06-25T09:30:07Z","links":{"resolver":"https://pith.science/pith/QDCTUTSIGFKYON6ZVQQMB2PZRN","bundle":"https://pith.science/pith/QDCTUTSIGFKYON6ZVQQMB2PZRN/bundle.json","state":"https://pith.science/pith/QDCTUTSIGFKYON6ZVQQMB2PZRN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QDCTUTSIGFKYON6ZVQQMB2PZRN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QDCTUTSIGFKYON6ZVQQMB2PZRN","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":"13ed1caf5ac8821fc4d95acd7d6496856b65ee4af618571768617355cd74a42d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-19T10:56:37Z","title_canon_sha256":"1f386259418421b252c6869ca3825702cc2add517cc2303568c14fd52e7ebb01"},"schema_version":"1.0","source":{"id":"1804.07082","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07082","created_at":"2026-05-18T00:18:01Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07082v1","created_at":"2026-05-18T00:18:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07082","created_at":"2026-05-18T00:18:01Z"},{"alias_kind":"pith_short_12","alias_value":"QDCTUTSIGFKY","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QDCTUTSIGFKYON6Z","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QDCTUTSI","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:87b25392e2b0684a16225603d88f6fd89d9d1d52e3f3e8845843bf2f1252adf6","target":"graph","created_at":"2026-05-18T00:18:01Z","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"},"paper":{"abstract_excerpt":"We describe the combinatorics of the cell structure of the tensor category of bimodules over a radical square zero Nakayama algebra. This accounts to an explicit description of left, right, and two-sided cells.","authors_text":"Helena Jonsson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-19T10:56:37Z","title":"Cell Structure of Bimodules over Radical Square Zero Nakayama Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07082","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":"sha256:78a315a08aceceed32a6e98dda49d2e72445b9195f41e5b37cda0201149a58ca","target":"record","created_at":"2026-05-18T00:18:01Z","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":"13ed1caf5ac8821fc4d95acd7d6496856b65ee4af618571768617355cd74a42d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-19T10:56:37Z","title_canon_sha256":"1f386259418421b252c6869ca3825702cc2add517cc2303568c14fd52e7ebb01"},"schema_version":"1.0","source":{"id":"1804.07082","kind":"arxiv","version":1}},"canonical_sha256":"80c53a4e4831558737d9ac20c0e9f98b4d2134cf00ecdb0d61cc40ac32dd6d26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80c53a4e4831558737d9ac20c0e9f98b4d2134cf00ecdb0d61cc40ac32dd6d26","first_computed_at":"2026-05-18T00:18:01.533533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:01.533533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qETdfGI1SlP7bzWv2rlLZffzhjSy1eeQ5PEUwBt+dDRfJagjBYnl6v+P4hNLVfm2dkOaY3h1MX5CUEF+NZBEAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:01.534030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.07082","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78a315a08aceceed32a6e98dda49d2e72445b9195f41e5b37cda0201149a58ca","sha256:87b25392e2b0684a16225603d88f6fd89d9d1d52e3f3e8845843bf2f1252adf6"],"state_sha256":"0412707ec1ebf3a66481e5085d475772dcb116496c1d1b93eb89f6cd160a881d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f/kLr66lTIEBhUCJsdhHAbvTr39XScbjKEjMaqCOu2WDwXhp2jrGTrwEn4WPwnoJxbqq/G7sodtqXNQ5waBNAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T09:30:07.991878Z","bundle_sha256":"61b332a0ddbc9bf1412954ce2964e5328942a97632ed71c4fb374d66213effb1"}}