{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:OTZ5XMCXJM2MI4R72YQ4CQBAH5","short_pith_number":"pith:OTZ5XMCX","canonical_record":{"source":{"id":"2006.14287","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-06-25T10:08:42Z","cross_cats_sorted":[],"title_canon_sha256":"3999df294b11a098b53f9e5c0f76bd10735ff10d5834067362bb7c9b19df6101","abstract_canon_sha256":"8d1e03928a9f1a4f70d31402040f69e47e448f5ec35461c9ed7276e8bd43879f"},"schema_version":"1.0"},"canonical_sha256":"74f3dbb0574b34c4723fd621c140203f40fc428cf75bf2848706873e87a2a080","source":{"kind":"arxiv","id":"2006.14287","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.14287","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"arxiv_version","alias_value":"2006.14287v1","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.14287","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"pith_short_12","alias_value":"OTZ5XMCXJM2M","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"pith_short_16","alias_value":"OTZ5XMCXJM2MI4R7","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"pith_short_8","alias_value":"OTZ5XMCX","created_at":"2026-07-05T01:13:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:OTZ5XMCXJM2MI4R72YQ4CQBAH5","target":"record","payload":{"canonical_record":{"source":{"id":"2006.14287","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-06-25T10:08:42Z","cross_cats_sorted":[],"title_canon_sha256":"3999df294b11a098b53f9e5c0f76bd10735ff10d5834067362bb7c9b19df6101","abstract_canon_sha256":"8d1e03928a9f1a4f70d31402040f69e47e448f5ec35461c9ed7276e8bd43879f"},"schema_version":"1.0"},"canonical_sha256":"74f3dbb0574b34c4723fd621c140203f40fc428cf75bf2848706873e87a2a080","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:13:30.870468Z","signature_b64":"nUYMMBPLGIRgrnC/6BgrEbKn8bXDA7mCYv9LXZWcwJzoxjbBJ8fqNSUGJ2RCeEtv2uURPXTQPLUbQ2h3gP0cDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74f3dbb0574b34c4723fd621c140203f40fc428cf75bf2848706873e87a2a080","last_reissued_at":"2026-07-05T01:13:30.870110Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:13:30.870110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.14287","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":"2026-07-05T01:13:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F/C4I6A9aVDjxL/6tjuM28MzlElHG9qoWb0d0ijs7cfAk+Rx6yMfF9L4Vy2/xtFIz2QverikibciwDhTaSnVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T06:11:31.314055Z"},"content_sha256":"65907acd4f2ebce5d6b8ba253595c573897fe0ddbfb2440aa771b0ddf90101bd","schema_version":"1.0","event_id":"sha256:65907acd4f2ebce5d6b8ba253595c573897fe0ddbfb2440aa771b0ddf90101bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:OTZ5XMCXJM2MI4R72YQ4CQBAH5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An explicit construction of simple-minded systems over self-injective Nakayama algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jing Guo, Yuming Liu, Yu Ye, Zhen Zhang","submitted_at":"2020-06-25T10:08:42Z","abstract_excerpt":"Recently, we obtained in [7] a new characterization for an orthogonal system to be a simple-minded system in the stable module category of any representation-finite self-injective algebra. In this paper, we apply this result to give an explicit construction of simple-minded systems over self-injective Nakayama algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.14287","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/2006.14287/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":"2026-07-05T01:13:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nw0sNNA5UGuAYm9oklmQ5bq82Gi7xwh37LHsVWgdpXWnEgcL+brgGokvvPBYEoQ3cjXdwDnhBnxhPx1M4+BlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T06:11:31.314543Z"},"content_sha256":"d075228ed97cb1e0ae4f8f1cf95a2c4d33d9b382fee00c3811883eeb173194ae","schema_version":"1.0","event_id":"sha256:d075228ed97cb1e0ae4f8f1cf95a2c4d33d9b382fee00c3811883eeb173194ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OTZ5XMCXJM2MI4R72YQ4CQBAH5/bundle.json","state_url":"https://pith.science/pith/OTZ5XMCXJM2MI4R72YQ4CQBAH5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OTZ5XMCXJM2MI4R72YQ4CQBAH5/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":"2026-08-17T06:11:31Z","links":{"resolver":"https://pith.science/pith/OTZ5XMCXJM2MI4R72YQ4CQBAH5","bundle":"https://pith.science/pith/OTZ5XMCXJM2MI4R72YQ4CQBAH5/bundle.json","state":"https://pith.science/pith/OTZ5XMCXJM2MI4R72YQ4CQBAH5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OTZ5XMCXJM2MI4R72YQ4CQBAH5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:OTZ5XMCXJM2MI4R72YQ4CQBAH5","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":"8d1e03928a9f1a4f70d31402040f69e47e448f5ec35461c9ed7276e8bd43879f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-06-25T10:08:42Z","title_canon_sha256":"3999df294b11a098b53f9e5c0f76bd10735ff10d5834067362bb7c9b19df6101"},"schema_version":"1.0","source":{"id":"2006.14287","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.14287","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"arxiv_version","alias_value":"2006.14287v1","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.14287","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"pith_short_12","alias_value":"OTZ5XMCXJM2M","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"pith_short_16","alias_value":"OTZ5XMCXJM2MI4R7","created_at":"2026-07-05T01:13:30Z"},{"alias_kind":"pith_short_8","alias_value":"OTZ5XMCX","created_at":"2026-07-05T01:13:30Z"}],"graph_snapshots":[{"event_id":"sha256:d075228ed97cb1e0ae4f8f1cf95a2c4d33d9b382fee00c3811883eeb173194ae","target":"graph","created_at":"2026-07-05T01:13:30Z","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/2006.14287/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, we obtained in [7] a new characterization for an orthogonal system to be a simple-minded system in the stable module category of any representation-finite self-injective algebra. In this paper, we apply this result to give an explicit construction of simple-minded systems over self-injective Nakayama algebras.","authors_text":"Jing Guo, Yuming Liu, Yu Ye, Zhen Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-06-25T10:08:42Z","title":"An explicit construction of simple-minded systems over self-injective Nakayama algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.14287","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":"sha256:65907acd4f2ebce5d6b8ba253595c573897fe0ddbfb2440aa771b0ddf90101bd","target":"record","created_at":"2026-07-05T01:13:30Z","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":"8d1e03928a9f1a4f70d31402040f69e47e448f5ec35461c9ed7276e8bd43879f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-06-25T10:08:42Z","title_canon_sha256":"3999df294b11a098b53f9e5c0f76bd10735ff10d5834067362bb7c9b19df6101"},"schema_version":"1.0","source":{"id":"2006.14287","kind":"arxiv","version":1}},"canonical_sha256":"74f3dbb0574b34c4723fd621c140203f40fc428cf75bf2848706873e87a2a080","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74f3dbb0574b34c4723fd621c140203f40fc428cf75bf2848706873e87a2a080","first_computed_at":"2026-07-05T01:13:30.870110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:13:30.870110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nUYMMBPLGIRgrnC/6BgrEbKn8bXDA7mCYv9LXZWcwJzoxjbBJ8fqNSUGJ2RCeEtv2uURPXTQPLUbQ2h3gP0cDg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:13:30.870468Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.14287","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65907acd4f2ebce5d6b8ba253595c573897fe0ddbfb2440aa771b0ddf90101bd","sha256:d075228ed97cb1e0ae4f8f1cf95a2c4d33d9b382fee00c3811883eeb173194ae"],"state_sha256":"53a32fc149a8ddf2b5725eff5610cb8a34ad0c093f7c0dffc29c2149656ca2f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J/ssH8TSLnXeuzaECU8clQBtrkuT+wJn1Wf8DWjAKBteNJHnkLoCyVJMsuB/3wRoBghgM+Gy67ZOXU8JCsP2DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T06:11:31.318062Z","bundle_sha256":"4103f926e38f176de3defbc2cfd2b1fede9ed8739d0f6d74ac780f76b7f0c612"}}