{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6D5YXXWHKURJZ2JHM2A5B4GDOK","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":"c28a0f7a6f80f8e8e7ca963fc9df8099168a63004458d4aeb11be03a01e7ff93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-12-19T11:19:29Z","title_canon_sha256":"84eb6aec601b62bb757c2e674b492b90867d5fb2bc6376f991575b6d7a8354e1"},"schema_version":"1.0","source":{"id":"1812.07882","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.07882","created_at":"2026-07-05T02:14:51Z"},{"alias_kind":"arxiv_version","alias_value":"1812.07882v2","created_at":"2026-07-05T02:14:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.07882","created_at":"2026-07-05T02:14:51Z"},{"alias_kind":"pith_short_12","alias_value":"6D5YXXWHKURJ","created_at":"2026-07-05T02:14:51Z"},{"alias_kind":"pith_short_16","alias_value":"6D5YXXWHKURJZ2JH","created_at":"2026-07-05T02:14:51Z"},{"alias_kind":"pith_short_8","alias_value":"6D5YXXWH","created_at":"2026-07-05T02:14:51Z"}],"graph_snapshots":[{"event_id":"sha256:537364717d389f04006496eba6044f7ae491c21ec0cb69465b310760a1c3cbe6","target":"graph","created_at":"2026-07-05T02:14:51Z","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/1812.07882/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper presented here focuses on the classification of trivial source Specht modules. We completely classify the trivial source Specht modules labelled by hook partitions. We also classify the trivial source Specht modules labelled by two-part partitions in the odd characteristic case. Moreover, in the even characteristic case, we prove a result for the classification of the trivial source Specht modules labelled by partitions with 2-weight 2, which justifies a conjecture of [16].","authors_text":"Yu Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-12-19T11:19:29Z","title":"On some trivial source Specht modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.07882","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:ba4e22864dd95b5495a3f32ec72915c8377e6a6ac31ff12799643122d643c573","target":"record","created_at":"2026-07-05T02:14:51Z","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":"c28a0f7a6f80f8e8e7ca963fc9df8099168a63004458d4aeb11be03a01e7ff93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-12-19T11:19:29Z","title_canon_sha256":"84eb6aec601b62bb757c2e674b492b90867d5fb2bc6376f991575b6d7a8354e1"},"schema_version":"1.0","source":{"id":"1812.07882","kind":"arxiv","version":2}},"canonical_sha256":"f0fb8bdec755229ce9276681d0f0c372a4acf92a11dccac32cff43ab56aa533f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0fb8bdec755229ce9276681d0f0c372a4acf92a11dccac32cff43ab56aa533f","first_computed_at":"2026-07-05T02:14:51.037511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:14:51.037511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J5UTtsCmW2gCPgQWHAiM3vC9tG/OxAG4um+zO9pDeCrOP7NNo4yfsdEFkMhSh5pOn2TByz7jIoPMrIu44U2OBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:14:51.038022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.07882","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba4e22864dd95b5495a3f32ec72915c8377e6a6ac31ff12799643122d643c573","sha256:537364717d389f04006496eba6044f7ae491c21ec0cb69465b310760a1c3cbe6"],"state_sha256":"84ad1405fdd46d0c708b325ccbcc8e548403b4d64505645fccac13cb45714dff"}