{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:BYARBWCKJHBOKNSNU7PCNGVBOO","short_pith_number":"pith:BYARBWCK","canonical_record":{"source":{"id":"0812.2232","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-12-11T20:07:16Z","cross_cats_sorted":[],"title_canon_sha256":"ec47db22a546e9c48f9374dae8a2f2ecc8712d723c5109573ef87cd5e1269892","abstract_canon_sha256":"be59101abc31c108bd0175378751f6c0fdac5bb6dc88b7239f7fa6c03e825532"},"schema_version":"1.0"},"canonical_sha256":"0e0110d84a49c2e5364da7de269aa173954bdf97efc6d157dff0d00ae9eee1ef","source":{"kind":"arxiv","id":"0812.2232","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.2232","created_at":"2026-05-18T04:42:22Z"},{"alias_kind":"arxiv_version","alias_value":"0812.2232v6","created_at":"2026-05-18T04:42:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.2232","created_at":"2026-05-18T04:42:22Z"},{"alias_kind":"pith_short_12","alias_value":"BYARBWCKJHBO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"BYARBWCKJHBOKNSN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"BYARBWCK","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:BYARBWCKJHBOKNSNU7PCNGVBOO","target":"record","payload":{"canonical_record":{"source":{"id":"0812.2232","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-12-11T20:07:16Z","cross_cats_sorted":[],"title_canon_sha256":"ec47db22a546e9c48f9374dae8a2f2ecc8712d723c5109573ef87cd5e1269892","abstract_canon_sha256":"be59101abc31c108bd0175378751f6c0fdac5bb6dc88b7239f7fa6c03e825532"},"schema_version":"1.0"},"canonical_sha256":"0e0110d84a49c2e5364da7de269aa173954bdf97efc6d157dff0d00ae9eee1ef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:22.235410Z","signature_b64":"mYh+8/7vU/pnDQpDxsFdgM7jUNZMMlLSEEHVjRaUG81dVrMv/D1s8T3JV1tCiENz3XSHV4faZH1+lN7DED9UDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e0110d84a49c2e5364da7de269aa173954bdf97efc6d157dff0d00ae9eee1ef","last_reissued_at":"2026-05-18T04:42:22.234740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:22.234740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.2232","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:42:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A0zUWsofaed5qoAOUg/O3m5RA2JKwFjJBjYHjJdTCR0gXokQ/vmtOXsDCdp/iCwDrMLt3hQGgV0OV9MlNWnfCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:20:11.593631Z"},"content_sha256":"cc7d9e93b04e0812a71b81464a5eb2bf785ed39656d489c4acda39f2536da3b2","schema_version":"1.0","event_id":"sha256:cc7d9e93b04e0812a71b81464a5eb2bf785ed39656d489c4acda39f2536da3b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:BYARBWCKJHBOKNSNU7PCNGVBOO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Steinberg lattice of the general linear group and its modular reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Fernando Szechtman","submitted_at":"2008-12-11T20:07:16Z","abstract_excerpt":"We study the Steinberg lattice of the general linear group when reduced modulo a prime different from the defining characteristic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.2232","kind":"arxiv","version":6},"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":"2026-05-18T04:42:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UkZQVsE8DSdxjsr/w4PQCryu5eY5Xi4ZiKNyW7K/H6VyXqI9axDUhNpwORdhNhbr3Q/Xzgq47VZfknzkikq0AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:20:11.593980Z"},"content_sha256":"cba7e312ba748cf0d1dcb70105f2dea123a09878336d20166450f397af1577c7","schema_version":"1.0","event_id":"sha256:cba7e312ba748cf0d1dcb70105f2dea123a09878336d20166450f397af1577c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BYARBWCKJHBOKNSNU7PCNGVBOO/bundle.json","state_url":"https://pith.science/pith/BYARBWCKJHBOKNSNU7PCNGVBOO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BYARBWCKJHBOKNSNU7PCNGVBOO/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":"2026-06-24T21:20:11Z","links":{"resolver":"https://pith.science/pith/BYARBWCKJHBOKNSNU7PCNGVBOO","bundle":"https://pith.science/pith/BYARBWCKJHBOKNSNU7PCNGVBOO/bundle.json","state":"https://pith.science/pith/BYARBWCKJHBOKNSNU7PCNGVBOO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BYARBWCKJHBOKNSNU7PCNGVBOO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:BYARBWCKJHBOKNSNU7PCNGVBOO","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":"be59101abc31c108bd0175378751f6c0fdac5bb6dc88b7239f7fa6c03e825532","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-12-11T20:07:16Z","title_canon_sha256":"ec47db22a546e9c48f9374dae8a2f2ecc8712d723c5109573ef87cd5e1269892"},"schema_version":"1.0","source":{"id":"0812.2232","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.2232","created_at":"2026-05-18T04:42:22Z"},{"alias_kind":"arxiv_version","alias_value":"0812.2232v6","created_at":"2026-05-18T04:42:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.2232","created_at":"2026-05-18T04:42:22Z"},{"alias_kind":"pith_short_12","alias_value":"BYARBWCKJHBO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"BYARBWCKJHBOKNSN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"BYARBWCK","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:cba7e312ba748cf0d1dcb70105f2dea123a09878336d20166450f397af1577c7","target":"graph","created_at":"2026-05-18T04:42:22Z","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 Steinberg lattice of the general linear group when reduced modulo a prime different from the defining characteristic.","authors_text":"Fernando Szechtman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-12-11T20:07:16Z","title":"Steinberg lattice of the general linear group and its modular reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.2232","kind":"arxiv","version":6},"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:cc7d9e93b04e0812a71b81464a5eb2bf785ed39656d489c4acda39f2536da3b2","target":"record","created_at":"2026-05-18T04:42:22Z","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":"be59101abc31c108bd0175378751f6c0fdac5bb6dc88b7239f7fa6c03e825532","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-12-11T20:07:16Z","title_canon_sha256":"ec47db22a546e9c48f9374dae8a2f2ecc8712d723c5109573ef87cd5e1269892"},"schema_version":"1.0","source":{"id":"0812.2232","kind":"arxiv","version":6}},"canonical_sha256":"0e0110d84a49c2e5364da7de269aa173954bdf97efc6d157dff0d00ae9eee1ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e0110d84a49c2e5364da7de269aa173954bdf97efc6d157dff0d00ae9eee1ef","first_computed_at":"2026-05-18T04:42:22.234740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:22.234740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mYh+8/7vU/pnDQpDxsFdgM7jUNZMMlLSEEHVjRaUG81dVrMv/D1s8T3JV1tCiENz3XSHV4faZH1+lN7DED9UDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:22.235410Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.2232","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc7d9e93b04e0812a71b81464a5eb2bf785ed39656d489c4acda39f2536da3b2","sha256:cba7e312ba748cf0d1dcb70105f2dea123a09878336d20166450f397af1577c7"],"state_sha256":"56a964bbace8149cc9d87d80cdad6ad10925ebf246b00eb584d2cce322de3419"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBcxCg+HgZpZwkM77ETlp0I7w82sQuxWHak8ayzTuMK/tJWbFNJ187EVAs/0Q6i/c0YGfS1dD5NJQVsy36CYBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T21:20:11.595943Z","bundle_sha256":"100868bbc6778b79c23f6f9ebee649c167aef828558c4f2f1186008ce666dbb3"}}