{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:KLF3RU6QHGA4IQYKZUSI5KTGZP","short_pith_number":"pith:KLF3RU6Q","canonical_record":{"source":{"id":"1101.3696","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-01-19T14:28:36Z","cross_cats_sorted":[],"title_canon_sha256":"379c248876dc9ed037db93826ca9f536846834637582f5f4f0ac2b1ed12012e3","abstract_canon_sha256":"e86c27881c2273b272643be82631171e93c80ca40d65e0975f78ee4f83d82ec1"},"schema_version":"1.0"},"canonical_sha256":"52cbb8d3d03981c4430acd248eaa66cbe884f2975527c6ea57e8712ddc2e382d","source":{"kind":"arxiv","id":"1101.3696","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3696","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3696v2","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3696","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"KLF3RU6QHGA4","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KLF3RU6QHGA4IQYK","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KLF3RU6Q","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:KLF3RU6QHGA4IQYKZUSI5KTGZP","target":"record","payload":{"canonical_record":{"source":{"id":"1101.3696","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-01-19T14:28:36Z","cross_cats_sorted":[],"title_canon_sha256":"379c248876dc9ed037db93826ca9f536846834637582f5f4f0ac2b1ed12012e3","abstract_canon_sha256":"e86c27881c2273b272643be82631171e93c80ca40d65e0975f78ee4f83d82ec1"},"schema_version":"1.0"},"canonical_sha256":"52cbb8d3d03981c4430acd248eaa66cbe884f2975527c6ea57e8712ddc2e382d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:34.946205Z","signature_b64":"xZv7Yl27zYhLHv9/16Cqr37VVc2z9EPVLS2owXEvEnLmWB3YtsZYcTgCPmHOfVy+mZ6TkFCH+GE1idBcgxW1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52cbb8d3d03981c4430acd248eaa66cbe884f2975527c6ea57e8712ddc2e382d","last_reissued_at":"2026-05-18T04:23:34.945564Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:34.945564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.3696","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":"2026-05-18T04:23:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rfF4dSmP+wK26OQvNkzmjC6jEv/CF+HrK+Oks2K+5W3n/FlE1e0WbrvLTW2piqjmuRfcu5sAT0UcHE1k2YE8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T04:34:41.421510Z"},"content_sha256":"6052c04513e3dc45e995380266ecfc4c75b4e4b28ee0123d83331c75200aa658","schema_version":"1.0","event_id":"sha256:6052c04513e3dc45e995380266ecfc4c75b4e4b28ee0123d83331c75200aa658"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:KLF3RU6QHGA4IQYKZUSI5KTGZP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Representations of Classical Groups over Finite Local Rings of Length Two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Pooja Singla","submitted_at":"2011-01-19T14:28:36Z","abstract_excerpt":"We study the complex irreducible representations of special linear, symplectic, orthogonal and unitary groups over principal ideal local rings of length two. We construct a canonical correspondence between the irreducible representations of all such groups that preserves dimensions. The case for general linear groups has already been proved by author."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3696","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":"2026-05-18T04:23:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oDE4wdFeyIGWKa/fiTFN1v1OdwVrVl0oVoR/Uwq4LEs5/zNJZM2PaJP/joAnor0M5JO6rOzeis29bXRlDbNaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T04:34:41.421854Z"},"content_sha256":"9a14ba1fcb981341de559b59a47fe56b16e61b4c811584c45c6494d738f60581","schema_version":"1.0","event_id":"sha256:9a14ba1fcb981341de559b59a47fe56b16e61b4c811584c45c6494d738f60581"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KLF3RU6QHGA4IQYKZUSI5KTGZP/bundle.json","state_url":"https://pith.science/pith/KLF3RU6QHGA4IQYKZUSI5KTGZP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KLF3RU6QHGA4IQYKZUSI5KTGZP/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":"2026-07-03T04:34:41Z","links":{"resolver":"https://pith.science/pith/KLF3RU6QHGA4IQYKZUSI5KTGZP","bundle":"https://pith.science/pith/KLF3RU6QHGA4IQYKZUSI5KTGZP/bundle.json","state":"https://pith.science/pith/KLF3RU6QHGA4IQYKZUSI5KTGZP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KLF3RU6QHGA4IQYKZUSI5KTGZP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KLF3RU6QHGA4IQYKZUSI5KTGZP","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":"e86c27881c2273b272643be82631171e93c80ca40d65e0975f78ee4f83d82ec1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-01-19T14:28:36Z","title_canon_sha256":"379c248876dc9ed037db93826ca9f536846834637582f5f4f0ac2b1ed12012e3"},"schema_version":"1.0","source":{"id":"1101.3696","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3696","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3696v2","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3696","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"KLF3RU6QHGA4","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KLF3RU6QHGA4IQYK","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KLF3RU6Q","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:9a14ba1fcb981341de559b59a47fe56b16e61b4c811584c45c6494d738f60581","target":"graph","created_at":"2026-05-18T04:23:34Z","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 study the complex irreducible representations of special linear, symplectic, orthogonal and unitary groups over principal ideal local rings of length two. We construct a canonical correspondence between the irreducible representations of all such groups that preserves dimensions. The case for general linear groups has already been proved by author.","authors_text":"Pooja Singla","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-01-19T14:28:36Z","title":"On Representations of Classical Groups over Finite Local Rings of Length Two"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3696","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":"sha256:6052c04513e3dc45e995380266ecfc4c75b4e4b28ee0123d83331c75200aa658","target":"record","created_at":"2026-05-18T04:23:34Z","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":"e86c27881c2273b272643be82631171e93c80ca40d65e0975f78ee4f83d82ec1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-01-19T14:28:36Z","title_canon_sha256":"379c248876dc9ed037db93826ca9f536846834637582f5f4f0ac2b1ed12012e3"},"schema_version":"1.0","source":{"id":"1101.3696","kind":"arxiv","version":2}},"canonical_sha256":"52cbb8d3d03981c4430acd248eaa66cbe884f2975527c6ea57e8712ddc2e382d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52cbb8d3d03981c4430acd248eaa66cbe884f2975527c6ea57e8712ddc2e382d","first_computed_at":"2026-05-18T04:23:34.945564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:34.945564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xZv7Yl27zYhLHv9/16Cqr37VVc2z9EPVLS2owXEvEnLmWB3YtsZYcTgCPmHOfVy+mZ6TkFCH+GE1idBcgxW1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:34.946205Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.3696","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6052c04513e3dc45e995380266ecfc4c75b4e4b28ee0123d83331c75200aa658","sha256:9a14ba1fcb981341de559b59a47fe56b16e61b4c811584c45c6494d738f60581"],"state_sha256":"6cdcee7a99d57668778451144b02e7e2c391df81ac5d9a0bb17cdf7dbcf09515"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wvkESf8PIDbiifb7ZDymL/8DhCJDZMnsNfBsspTRg3KLcU0Sd28lMcV0jL7TcFRysHgy84mbzwoCG1TwJM86Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T04:34:41.423825Z","bundle_sha256":"9e65ada5cc1b8e7a3660f8ee97577d929210163f981fc01bcd42aaf96649fee9"}}