{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:SEQKL57U7BN6BFWY5UZXHLMNUY","short_pith_number":"pith:SEQKL57U","canonical_record":{"source":{"id":"0910.4759","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2009-10-25T19:02:39Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"f59446fa580c583f7e37eb653ab7ac64f04b1bb84d9ec482cf70279b30aaf32e","abstract_canon_sha256":"fbfa506e343d3b43b07988362d59931ef22b54b04f5cb0915d7a48ca285af9af"},"schema_version":"1.0"},"canonical_sha256":"9120a5f7f4f85be096d8ed3373ad8da63dd8f8c1d1f1d9ad4219fe9ea2fad035","source":{"kind":"arxiv","id":"0910.4759","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.4759","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"0910.4759v4","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.4759","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"SEQKL57U7BN6","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SEQKL57U7BN6BFWY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SEQKL57U","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:SEQKL57U7BN6BFWY5UZXHLMNUY","target":"record","payload":{"canonical_record":{"source":{"id":"0910.4759","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2009-10-25T19:02:39Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"f59446fa580c583f7e37eb653ab7ac64f04b1bb84d9ec482cf70279b30aaf32e","abstract_canon_sha256":"fbfa506e343d3b43b07988362d59931ef22b54b04f5cb0915d7a48ca285af9af"},"schema_version":"1.0"},"canonical_sha256":"9120a5f7f4f85be096d8ed3373ad8da63dd8f8c1d1f1d9ad4219fe9ea2fad035","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:44.655846Z","signature_b64":"hx+9dHk9J8/E1aBx2nWcbhdB3QtxyQdqN9khsIFxqnkQZSnTWrKGHeW13BtYIC3tO7h7bikNMenzXdPxM/z4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9120a5f7f4f85be096d8ed3373ad8da63dd8f8c1d1f1d9ad4219fe9ea2fad035","last_reissued_at":"2026-05-18T04:42:44.655420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:44.655420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.4759","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:42:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UcZLbVaaHs1zZ6bsJSXsGDcfiCYkOmWykj3LPRX7VTQi308i9z9BlrZbvERZpDAKBV7U2POOBNcFYqLPNQ+8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:18:10.434722Z"},"content_sha256":"1d633775c9d4dfed83d6c8fff86f5d4fe719668c00adf5136b7691049305dd32","schema_version":"1.0","event_id":"sha256:1d633775c9d4dfed83d6c8fff86f5d4fe719668c00adf5136b7691049305dd32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:SEQKL57U7BN6BFWY5UZXHLMNUY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The structure of rank 3 permutation modules for O_{2n}(2) and U_m(2) acting on nonsingular points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GR","authors_text":"Hung Ngoc Nguyen, Jonathan I. Hall","submitted_at":"2009-10-25T19:02:39Z","abstract_excerpt":"We study the odd-characteristic structure of permutation modules for the rank 3 natural actions of $O_{2n}^{\\pm}(2)$ ($n\\geq3$) and $U_{m}(2)$ ($m\\geq4$) on nonsingular points of their standard modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.4759","kind":"arxiv","version":4},"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":"2026-05-18T04:42:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RrPS/P3NUn0toNLWvGYSDY6RnqGlRmrm6fc3mJR17wEjHUJCu119aKh30G4TBtzalh86igeCtYawp0ziOy0VDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:18:10.435346Z"},"content_sha256":"fb27e6a8976445bec3284efe9027a99fbe3404338483ada73702ca0c9668ae3d","schema_version":"1.0","event_id":"sha256:fb27e6a8976445bec3284efe9027a99fbe3404338483ada73702ca0c9668ae3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SEQKL57U7BN6BFWY5UZXHLMNUY/bundle.json","state_url":"https://pith.science/pith/SEQKL57U7BN6BFWY5UZXHLMNUY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SEQKL57U7BN6BFWY5UZXHLMNUY/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":"2026-06-05T05:18:10Z","links":{"resolver":"https://pith.science/pith/SEQKL57U7BN6BFWY5UZXHLMNUY","bundle":"https://pith.science/pith/SEQKL57U7BN6BFWY5UZXHLMNUY/bundle.json","state":"https://pith.science/pith/SEQKL57U7BN6BFWY5UZXHLMNUY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SEQKL57U7BN6BFWY5UZXHLMNUY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:SEQKL57U7BN6BFWY5UZXHLMNUY","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":"fbfa506e343d3b43b07988362d59931ef22b54b04f5cb0915d7a48ca285af9af","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2009-10-25T19:02:39Z","title_canon_sha256":"f59446fa580c583f7e37eb653ab7ac64f04b1bb84d9ec482cf70279b30aaf32e"},"schema_version":"1.0","source":{"id":"0910.4759","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.4759","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"0910.4759v4","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.4759","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"SEQKL57U7BN6","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SEQKL57U7BN6BFWY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SEQKL57U","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:fb27e6a8976445bec3284efe9027a99fbe3404338483ada73702ca0c9668ae3d","target":"graph","created_at":"2026-05-18T04:42:44Z","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 odd-characteristic structure of permutation modules for the rank 3 natural actions of $O_{2n}^{\\pm}(2)$ ($n\\geq3$) and $U_{m}(2)$ ($m\\geq4$) on nonsingular points of their standard modules.","authors_text":"Hung Ngoc Nguyen, Jonathan I. Hall","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2009-10-25T19:02:39Z","title":"The structure of rank 3 permutation modules for O_{2n}(2) and U_m(2) acting on nonsingular points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.4759","kind":"arxiv","version":4},"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":"sha256:1d633775c9d4dfed83d6c8fff86f5d4fe719668c00adf5136b7691049305dd32","target":"record","created_at":"2026-05-18T04:42:44Z","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":"fbfa506e343d3b43b07988362d59931ef22b54b04f5cb0915d7a48ca285af9af","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2009-10-25T19:02:39Z","title_canon_sha256":"f59446fa580c583f7e37eb653ab7ac64f04b1bb84d9ec482cf70279b30aaf32e"},"schema_version":"1.0","source":{"id":"0910.4759","kind":"arxiv","version":4}},"canonical_sha256":"9120a5f7f4f85be096d8ed3373ad8da63dd8f8c1d1f1d9ad4219fe9ea2fad035","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9120a5f7f4f85be096d8ed3373ad8da63dd8f8c1d1f1d9ad4219fe9ea2fad035","first_computed_at":"2026-05-18T04:42:44.655420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:44.655420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hx+9dHk9J8/E1aBx2nWcbhdB3QtxyQdqN9khsIFxqnkQZSnTWrKGHeW13BtYIC3tO7h7bikNMenzXdPxM/z4Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:44.655846Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.4759","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d633775c9d4dfed83d6c8fff86f5d4fe719668c00adf5136b7691049305dd32","sha256:fb27e6a8976445bec3284efe9027a99fbe3404338483ada73702ca0c9668ae3d"],"state_sha256":"8b207ce24c612ebd81dcc40f451794cd1e90b821370426e8ceffdf80fda868cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fJ6rykx94V/gX1Ks2oNNC/NQ9rIXguyA1A8V5gFraoYJT4WoOy2bH+WFE3Zo6BtLhFiKL6wv8Ers8zGryrCuCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T05:18:10.438708Z","bundle_sha256":"4118cad16277aea1db9d0fa5a752eafbca1cdb3db4d14efd0fa0ebf91ff67d8d"}}