{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RYH2Z5WWBL5ANYCX3JRFL26EOB","short_pith_number":"pith:RYH2Z5WW","canonical_record":{"source":{"id":"1303.6018","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-03-25T02:37:21Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"2cb4e42087c146d7924167ce8563a7fb567bbbf2e46f51d9a54d90cd0b5f75cf","abstract_canon_sha256":"25d8eea288ad7b03f6bf40084e150633e1f15b3e90ee324a7073a062962ffb06"},"schema_version":"1.0"},"canonical_sha256":"8e0facf6d60afa06e057da6255ebc4704eafa8844f76b57c1e5f772dabb34713","source":{"kind":"arxiv","id":"1303.6018","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6018","created_at":"2026-05-18T03:24:53Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6018v3","created_at":"2026-05-18T03:24:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6018","created_at":"2026-05-18T03:24:53Z"},{"alias_kind":"pith_short_12","alias_value":"RYH2Z5WWBL5A","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RYH2Z5WWBL5ANYCX","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RYH2Z5WW","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RYH2Z5WWBL5ANYCX3JRFL26EOB","target":"record","payload":{"canonical_record":{"source":{"id":"1303.6018","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-03-25T02:37:21Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"2cb4e42087c146d7924167ce8563a7fb567bbbf2e46f51d9a54d90cd0b5f75cf","abstract_canon_sha256":"25d8eea288ad7b03f6bf40084e150633e1f15b3e90ee324a7073a062962ffb06"},"schema_version":"1.0"},"canonical_sha256":"8e0facf6d60afa06e057da6255ebc4704eafa8844f76b57c1e5f772dabb34713","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:53.712001Z","signature_b64":"vxOd1WHHXIcsJNo2h4aPVGi0FiHr2vpbyPACopONCR0OhEDF9NI1uruM+KLlZislVrNiQw97wVkANuz7EvwuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e0facf6d60afa06e057da6255ebc4704eafa8844f76b57c1e5f772dabb34713","last_reissued_at":"2026-05-18T03:24:53.711274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:53.711274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.6018","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GWS/T8wF3V4hQnaS3c4JONt7ctmjcOgDTR0SWkfg4U2sKwzBwW6PDZNy8bbdPFxn8y9vckVOn+/eelVs/EguCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:09:37.944764Z"},"content_sha256":"35bb13ddfe3f06dd07bff198a41439c1bf4144c3eaccbcf9ba9e58b4f64b79c2","schema_version":"1.0","event_id":"sha256:35bb13ddfe3f06dd07bff198a41439c1bf4144c3eaccbcf9ba9e58b4f64b79c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RYH2Z5WWBL5ANYCX3JRFL26EOB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boltje-Maisch resolutions of Specht modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Fang Li, Kefeng Liu, Xingyu Dai","submitted_at":"2013-03-25T02:37:21Z","abstract_excerpt":"In \\cite{21}, Boltje and Maisch found a permutation complex of Specht modules in representation theory of Hecke algebras, which is the same as the Boltje-Hartmann complex appeared in the representation theory of symmetric groups and general linear groups. In this paper we prove the exactness of Boltje-Maisch complex in the dominant weight case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6018","kind":"arxiv","version":3},"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":"2026-05-18T03:24:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pFbyO+j6CNx+gRx2s5SPqzhpLcMWPg33CSc/vhhsd8aYjjXOSycCOz1+d3Fz2JvHXhnd+7qUZ/b2oboUoZXZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:09:37.945088Z"},"content_sha256":"babdc9c56acaab64861382372013d009f7261dd7fe1ec9e92244efc79f82ef73","schema_version":"1.0","event_id":"sha256:babdc9c56acaab64861382372013d009f7261dd7fe1ec9e92244efc79f82ef73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RYH2Z5WWBL5ANYCX3JRFL26EOB/bundle.json","state_url":"https://pith.science/pith/RYH2Z5WWBL5ANYCX3JRFL26EOB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RYH2Z5WWBL5ANYCX3JRFL26EOB/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":"2026-06-08T23:09:37Z","links":{"resolver":"https://pith.science/pith/RYH2Z5WWBL5ANYCX3JRFL26EOB","bundle":"https://pith.science/pith/RYH2Z5WWBL5ANYCX3JRFL26EOB/bundle.json","state":"https://pith.science/pith/RYH2Z5WWBL5ANYCX3JRFL26EOB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RYH2Z5WWBL5ANYCX3JRFL26EOB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RYH2Z5WWBL5ANYCX3JRFL26EOB","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":"25d8eea288ad7b03f6bf40084e150633e1f15b3e90ee324a7073a062962ffb06","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-03-25T02:37:21Z","title_canon_sha256":"2cb4e42087c146d7924167ce8563a7fb567bbbf2e46f51d9a54d90cd0b5f75cf"},"schema_version":"1.0","source":{"id":"1303.6018","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6018","created_at":"2026-05-18T03:24:53Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6018v3","created_at":"2026-05-18T03:24:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6018","created_at":"2026-05-18T03:24:53Z"},{"alias_kind":"pith_short_12","alias_value":"RYH2Z5WWBL5A","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RYH2Z5WWBL5ANYCX","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RYH2Z5WW","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:babdc9c56acaab64861382372013d009f7261dd7fe1ec9e92244efc79f82ef73","target":"graph","created_at":"2026-05-18T03:24:53Z","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":"In \\cite{21}, Boltje and Maisch found a permutation complex of Specht modules in representation theory of Hecke algebras, which is the same as the Boltje-Hartmann complex appeared in the representation theory of symmetric groups and general linear groups. In this paper we prove the exactness of Boltje-Maisch complex in the dominant weight case.","authors_text":"Fang Li, Kefeng Liu, Xingyu Dai","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-03-25T02:37:21Z","title":"Boltje-Maisch resolutions of Specht modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6018","kind":"arxiv","version":3},"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":"sha256:35bb13ddfe3f06dd07bff198a41439c1bf4144c3eaccbcf9ba9e58b4f64b79c2","target":"record","created_at":"2026-05-18T03:24:53Z","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":"25d8eea288ad7b03f6bf40084e150633e1f15b3e90ee324a7073a062962ffb06","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-03-25T02:37:21Z","title_canon_sha256":"2cb4e42087c146d7924167ce8563a7fb567bbbf2e46f51d9a54d90cd0b5f75cf"},"schema_version":"1.0","source":{"id":"1303.6018","kind":"arxiv","version":3}},"canonical_sha256":"8e0facf6d60afa06e057da6255ebc4704eafa8844f76b57c1e5f772dabb34713","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e0facf6d60afa06e057da6255ebc4704eafa8844f76b57c1e5f772dabb34713","first_computed_at":"2026-05-18T03:24:53.711274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:53.711274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vxOd1WHHXIcsJNo2h4aPVGi0FiHr2vpbyPACopONCR0OhEDF9NI1uruM+KLlZislVrNiQw97wVkANuz7EvwuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:53.712001Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6018","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35bb13ddfe3f06dd07bff198a41439c1bf4144c3eaccbcf9ba9e58b4f64b79c2","sha256:babdc9c56acaab64861382372013d009f7261dd7fe1ec9e92244efc79f82ef73"],"state_sha256":"57e2561d924987dc245f05779dabd0b01d8559660d7c63e355dc44d9c5eeb293"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EVTN6hb4VtXsBQtJiy/xRhdsWaG1Kno5k8/JFgPkViD1ol8EKmYUaTPnyqYwhAudEnLp9Q+elQpGJpKce4uTCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:09:37.947007Z","bundle_sha256":"ac322b5ef30c62c498d2b4d14d9c8d11da3f14e2b1a0b414487db5db057cba8e"}}