{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:GWEG6QQJJF3IGSCPQUDGTGE3WC","short_pith_number":"pith:GWEG6QQJ","canonical_record":{"source":{"id":"1203.3397","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-15T15:44:32Z","cross_cats_sorted":[],"title_canon_sha256":"5aa60fa8def4cd953bcbe75f6ebe7dfdc507a725334799aacfc5499bca478853","abstract_canon_sha256":"d20fa0ccaf37e2232acbc424c9c160e214f98ba0d03c5ef8d93f81c59ba8bf6a"},"schema_version":"1.0"},"canonical_sha256":"35886f4209497683484f850669989bb09f3bd487e30f867fe99535353212b6a8","source":{"kind":"arxiv","id":"1203.3397","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3397","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3397v1","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3397","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"pith_short_12","alias_value":"GWEG6QQJJF3I","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GWEG6QQJJF3IGSCP","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GWEG6QQJ","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:GWEG6QQJJF3IGSCPQUDGTGE3WC","target":"record","payload":{"canonical_record":{"source":{"id":"1203.3397","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-15T15:44:32Z","cross_cats_sorted":[],"title_canon_sha256":"5aa60fa8def4cd953bcbe75f6ebe7dfdc507a725334799aacfc5499bca478853","abstract_canon_sha256":"d20fa0ccaf37e2232acbc424c9c160e214f98ba0d03c5ef8d93f81c59ba8bf6a"},"schema_version":"1.0"},"canonical_sha256":"35886f4209497683484f850669989bb09f3bd487e30f867fe99535353212b6a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:23.002882Z","signature_b64":"bjO0trel8oUFAQyEMMOoCLlz06Qoh6GqcGYUPZ9YzgsFtN2jzpLylWa3h01DxeMpVRA+0suhZqcDFSHsTsM4CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35886f4209497683484f850669989bb09f3bd487e30f867fe99535353212b6a8","last_reissued_at":"2026-05-18T03:09:23.002157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:23.002157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.3397","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":"2026-05-18T03:09:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qZrOA8q0KvEWuP97WQNia5ozaaG0whtW+Ct9QQNcJgYn92T0DeDg6Ia6NHHkzWXhI+J/StsB9nvcY4aZbOq2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T13:31:58.963851Z"},"content_sha256":"f80a2175a16236bc5284e621cd58dfe00e580f9ea2a2be0042ba1aabd886dd42","schema_version":"1.0","event_id":"sha256:f80a2175a16236bc5284e621cd58dfe00e580f9ea2a2be0042ba1aabd886dd42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:GWEG6QQJJF3IGSCPQUDGTGE3WC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cycle-finite module categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Andrzej Skowro\\'nski, Jos\\'e A. de la Pe\\~na, Piotr Malicki","submitted_at":"2012-03-15T15:44:32Z","abstract_excerpt":"We describe the structure of module categories of finite dimensional algebras over an algebraically closed field for which the cycles of nonzero nonisomorphisms between indecomposable finite dimensional modules are finite (do not belong to the infinite Jacobson radical of the module category). Moreover, geometric and homological properties of these module categories are exhibited."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3397","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":"2026-05-18T03:09:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZWX8jOepMDQGfel+109vDJAmsFgajYrSanzgxUiHyvK6Myca8w/Bv19p3N9EJ6nhNdw/6Z2T4sqs65Yc5liPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T13:31:58.964687Z"},"content_sha256":"b45cd26b6b2a9bffe36ab3eaa26b71db139e92396170660f892725e61b56e46c","schema_version":"1.0","event_id":"sha256:b45cd26b6b2a9bffe36ab3eaa26b71db139e92396170660f892725e61b56e46c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GWEG6QQJJF3IGSCPQUDGTGE3WC/bundle.json","state_url":"https://pith.science/pith/GWEG6QQJJF3IGSCPQUDGTGE3WC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GWEG6QQJJF3IGSCPQUDGTGE3WC/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":"2026-05-31T13:31:58Z","links":{"resolver":"https://pith.science/pith/GWEG6QQJJF3IGSCPQUDGTGE3WC","bundle":"https://pith.science/pith/GWEG6QQJJF3IGSCPQUDGTGE3WC/bundle.json","state":"https://pith.science/pith/GWEG6QQJJF3IGSCPQUDGTGE3WC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GWEG6QQJJF3IGSCPQUDGTGE3WC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GWEG6QQJJF3IGSCPQUDGTGE3WC","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":"d20fa0ccaf37e2232acbc424c9c160e214f98ba0d03c5ef8d93f81c59ba8bf6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-15T15:44:32Z","title_canon_sha256":"5aa60fa8def4cd953bcbe75f6ebe7dfdc507a725334799aacfc5499bca478853"},"schema_version":"1.0","source":{"id":"1203.3397","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3397","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3397v1","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3397","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"pith_short_12","alias_value":"GWEG6QQJJF3I","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GWEG6QQJJF3IGSCP","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GWEG6QQJ","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:b45cd26b6b2a9bffe36ab3eaa26b71db139e92396170660f892725e61b56e46c","target":"graph","created_at":"2026-05-18T03:09:23Z","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 structure of module categories of finite dimensional algebras over an algebraically closed field for which the cycles of nonzero nonisomorphisms between indecomposable finite dimensional modules are finite (do not belong to the infinite Jacobson radical of the module category). Moreover, geometric and homological properties of these module categories are exhibited.","authors_text":"Andrzej Skowro\\'nski, Jos\\'e A. de la Pe\\~na, Piotr Malicki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-15T15:44:32Z","title":"Cycle-finite module categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3397","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:f80a2175a16236bc5284e621cd58dfe00e580f9ea2a2be0042ba1aabd886dd42","target":"record","created_at":"2026-05-18T03:09:23Z","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":"d20fa0ccaf37e2232acbc424c9c160e214f98ba0d03c5ef8d93f81c59ba8bf6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-15T15:44:32Z","title_canon_sha256":"5aa60fa8def4cd953bcbe75f6ebe7dfdc507a725334799aacfc5499bca478853"},"schema_version":"1.0","source":{"id":"1203.3397","kind":"arxiv","version":1}},"canonical_sha256":"35886f4209497683484f850669989bb09f3bd487e30f867fe99535353212b6a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35886f4209497683484f850669989bb09f3bd487e30f867fe99535353212b6a8","first_computed_at":"2026-05-18T03:09:23.002157Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:23.002157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bjO0trel8oUFAQyEMMOoCLlz06Qoh6GqcGYUPZ9YzgsFtN2jzpLylWa3h01DxeMpVRA+0suhZqcDFSHsTsM4CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:23.002882Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3397","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f80a2175a16236bc5284e621cd58dfe00e580f9ea2a2be0042ba1aabd886dd42","sha256:b45cd26b6b2a9bffe36ab3eaa26b71db139e92396170660f892725e61b56e46c"],"state_sha256":"ca325e71f362cc2e62b57425d06324dc7d4351721f7173fcc2a9fe4f8d75acca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ne8OVcgvBJH9MOG2uBRByyLhgnccWHV8S0feSzqRsELQDRFHLeOWrMdV9rkFQWSKBQ1UYk3A3EPZMtCpUrE5Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T13:31:58.968624Z","bundle_sha256":"44d2db46b156387fee288e2d14e39fc6c59bed477c1abe90a5cd4a97b086d96c"}}