{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:3KM5QJVM454BSLKDR3WLRCCEUZ","short_pith_number":"pith:3KM5QJVM","canonical_record":{"source":{"id":"1203.5751","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-26T18:23:33Z","cross_cats_sorted":["math.CO","math.GR"],"title_canon_sha256":"71cbe83660c90b7c9ff46dba3ddbff451e81f6202d0b9dee87743bce29da6c12","abstract_canon_sha256":"a9e77c2de9bf257f82bc957df7656777b9fddde25300afd15157fd6bd0a9abbc"},"schema_version":"1.0"},"canonical_sha256":"da99d826ace778192d438eecb88844a64d797065580f24016d0addcac8079488","source":{"kind":"arxiv","id":"1203.5751","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5751","created_at":"2026-05-18T03:55:46Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5751v2","created_at":"2026-05-18T03:55:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5751","created_at":"2026-05-18T03:55:46Z"},{"alias_kind":"pith_short_12","alias_value":"3KM5QJVM454B","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3KM5QJVM454BSLKD","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3KM5QJVM","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:3KM5QJVM454BSLKDR3WLRCCEUZ","target":"record","payload":{"canonical_record":{"source":{"id":"1203.5751","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-26T18:23:33Z","cross_cats_sorted":["math.CO","math.GR"],"title_canon_sha256":"71cbe83660c90b7c9ff46dba3ddbff451e81f6202d0b9dee87743bce29da6c12","abstract_canon_sha256":"a9e77c2de9bf257f82bc957df7656777b9fddde25300afd15157fd6bd0a9abbc"},"schema_version":"1.0"},"canonical_sha256":"da99d826ace778192d438eecb88844a64d797065580f24016d0addcac8079488","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:46.352589Z","signature_b64":"0pav17HxIai6cEyGIIa/RNcKanuB+x2kr4bjaqmPaGbBopqDp946ys5ERhslbXGNNgHJ6V2ocuVfXpsaA7S5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da99d826ace778192d438eecb88844a64d797065580f24016d0addcac8079488","last_reissued_at":"2026-05-18T03:55:46.352166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:46.352166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.5751","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":"2026-05-18T03:55:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PCd3wrPBGtt85Qarw1dTVy3vZphqLS0CcQZrdf/tmsnZe+yhyRZhMaHTZK3utBdqQbzzlnZ+pcq8aJUjQuKKDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:25:18.315862Z"},"content_sha256":"1ceade52a79f56e52adb6b1ee5e475bce0948362a2bb6a30977177bcfa926e21","schema_version":"1.0","event_id":"sha256:1ceade52a79f56e52adb6b1ee5e475bce0948362a2bb6a30977177bcfa926e21"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:3KM5QJVM454BSLKDR3WLRCCEUZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Permutation resolutions for Specht modules of Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.GR"],"primary_cat":"math.RT","authors_text":"Filix Maisch, Robert Boltje","submitted_at":"2012-03-26T18:23:33Z","abstract_excerpt":"In [Boltje,Hartmann: Permutation resolutions for Specht modules, J. Algebraic Combin. 34 (2011), 141-162], a chain complex was constructed in a combinatorial way which conjecturally is a resolution of the (dual of the) integral Specht module for the symmetric group in terms of permutation modules. In this paper we extend the definition of the chain complex to the integral Iwahori Hecke algebra and prove the same partial exactness results that were proved in the symmetric group case. A complete proof of the exactness conjecture in the symmetric group case was recently given by Santana and Yudin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5751","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":""},"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":"2026-05-18T03:55:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bp29waKyl9R3B4CJEjIr78J2zG5asKJiQEPkc1HM40CJgYn9ZLfQIYSYP0Ln70pvUpNVKIO6EL5qL6q5En06AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:25:18.316202Z"},"content_sha256":"e0c396d2017f20a6dbca57995a04531657b47ee2406ad548658657b87eb8fd22","schema_version":"1.0","event_id":"sha256:e0c396d2017f20a6dbca57995a04531657b47ee2406ad548658657b87eb8fd22"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KM5QJVM454BSLKDR3WLRCCEUZ/bundle.json","state_url":"https://pith.science/pith/3KM5QJVM454BSLKDR3WLRCCEUZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KM5QJVM454BSLKDR3WLRCCEUZ/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":"2026-06-05T14:25:18Z","links":{"resolver":"https://pith.science/pith/3KM5QJVM454BSLKDR3WLRCCEUZ","bundle":"https://pith.science/pith/3KM5QJVM454BSLKDR3WLRCCEUZ/bundle.json","state":"https://pith.science/pith/3KM5QJVM454BSLKDR3WLRCCEUZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KM5QJVM454BSLKDR3WLRCCEUZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3KM5QJVM454BSLKDR3WLRCCEUZ","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":"a9e77c2de9bf257f82bc957df7656777b9fddde25300afd15157fd6bd0a9abbc","cross_cats_sorted":["math.CO","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-26T18:23:33Z","title_canon_sha256":"71cbe83660c90b7c9ff46dba3ddbff451e81f6202d0b9dee87743bce29da6c12"},"schema_version":"1.0","source":{"id":"1203.5751","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5751","created_at":"2026-05-18T03:55:46Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5751v2","created_at":"2026-05-18T03:55:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5751","created_at":"2026-05-18T03:55:46Z"},{"alias_kind":"pith_short_12","alias_value":"3KM5QJVM454B","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3KM5QJVM454BSLKD","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3KM5QJVM","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:e0c396d2017f20a6dbca57995a04531657b47ee2406ad548658657b87eb8fd22","target":"graph","created_at":"2026-05-18T03:55:46Z","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 [Boltje,Hartmann: Permutation resolutions for Specht modules, J. Algebraic Combin. 34 (2011), 141-162], a chain complex was constructed in a combinatorial way which conjecturally is a resolution of the (dual of the) integral Specht module for the symmetric group in terms of permutation modules. In this paper we extend the definition of the chain complex to the integral Iwahori Hecke algebra and prove the same partial exactness results that were proved in the symmetric group case. A complete proof of the exactness conjecture in the symmetric group case was recently given by Santana and Yudin","authors_text":"Filix Maisch, Robert Boltje","cross_cats":["math.CO","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-26T18:23:33Z","title":"Permutation resolutions for Specht modules of Hecke algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5751","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":"sha256:1ceade52a79f56e52adb6b1ee5e475bce0948362a2bb6a30977177bcfa926e21","target":"record","created_at":"2026-05-18T03:55:46Z","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":"a9e77c2de9bf257f82bc957df7656777b9fddde25300afd15157fd6bd0a9abbc","cross_cats_sorted":["math.CO","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-26T18:23:33Z","title_canon_sha256":"71cbe83660c90b7c9ff46dba3ddbff451e81f6202d0b9dee87743bce29da6c12"},"schema_version":"1.0","source":{"id":"1203.5751","kind":"arxiv","version":2}},"canonical_sha256":"da99d826ace778192d438eecb88844a64d797065580f24016d0addcac8079488","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da99d826ace778192d438eecb88844a64d797065580f24016d0addcac8079488","first_computed_at":"2026-05-18T03:55:46.352166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:46.352166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0pav17HxIai6cEyGIIa/RNcKanuB+x2kr4bjaqmPaGbBopqDp946ys5ERhslbXGNNgHJ6V2ocuVfXpsaA7S5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:46.352589Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.5751","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ceade52a79f56e52adb6b1ee5e475bce0948362a2bb6a30977177bcfa926e21","sha256:e0c396d2017f20a6dbca57995a04531657b47ee2406ad548658657b87eb8fd22"],"state_sha256":"4f05ca3aed79bfa628f09b2fc3b7eeef7cd8d088e14702b6c078267a99dd7a06"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/cU/jC/p5IRwFHAjwQp7nHUGlPG/M9+GiLBxV5EWluLUglkGf5yZWV2iBT1GY3PcwUxFZ37k1038ynF+5C2xDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:25:18.318202Z","bundle_sha256":"64908fc9a00c453315be8e32a8053e6913696b8f6910d84fe1d3080a4d9e9a42"}}