{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6YZ7SS6NA3XJNKW4SGFISWOUCP","short_pith_number":"pith:6YZ7SS6N","canonical_record":{"source":{"id":"1310.4440","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T16:33:26Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"92000275450455796ba75f72ef03ba2bdb5f355ce44280d02a7008095adac09e","abstract_canon_sha256":"5e09e0ea6e000c2ebc90fcd43e4852a72b5d16d0039fedcfc6f7286b16397ee3"},"schema_version":"1.0"},"canonical_sha256":"f633f94bcd06ee96aadc918a8959d413cf9665fc7b7b8a646970eadd919a406a","source":{"kind":"arxiv","id":"1310.4440","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4440","created_at":"2026-05-18T03:10:15Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4440v1","created_at":"2026-05-18T03:10:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4440","created_at":"2026-05-18T03:10:15Z"},{"alias_kind":"pith_short_12","alias_value":"6YZ7SS6NA3XJ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6YZ7SS6NA3XJNKW4","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6YZ7SS6N","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6YZ7SS6NA3XJNKW4SGFISWOUCP","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4440","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T16:33:26Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"92000275450455796ba75f72ef03ba2bdb5f355ce44280d02a7008095adac09e","abstract_canon_sha256":"5e09e0ea6e000c2ebc90fcd43e4852a72b5d16d0039fedcfc6f7286b16397ee3"},"schema_version":"1.0"},"canonical_sha256":"f633f94bcd06ee96aadc918a8959d413cf9665fc7b7b8a646970eadd919a406a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:15.045303Z","signature_b64":"TDqfpZw0SwmBOoUs6mLKpvKXwXDeG7AvNuo1UcmoHfEleN9cvsnaq8KgjGYffBtCVJ19G/PFO1YTSubz2xmIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f633f94bcd06ee96aadc918a8959d413cf9665fc7b7b8a646970eadd919a406a","last_reissued_at":"2026-05-18T03:10:15.044375Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:15.044375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4440","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aNRoaMkPlRDKTSHFxQjknXHRon4ehd7jMg7FqD5zI7oS/cLXvI3GVGmzm6lkCTv/LJf6Up6KGYY1wTKoS/AIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:30:01.755162Z"},"content_sha256":"ba38673f43c29900c41cad29d969630aa6dbea75a840f9fd8bbfd62bded303d6","schema_version":"1.0","event_id":"sha256:ba38673f43c29900c41cad29d969630aa6dbea75a840f9fd8bbfd62bded303d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6YZ7SS6NA3XJNKW4SGFISWOUCP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Steinberg character of an orthogonal group over a finite field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GR","authors_text":"A.E. Zalesski","submitted_at":"2013-10-16T16:33:26Z","abstract_excerpt":"We determine the irreducible constituents of the Steinberg character of an orthogonal group over a finite field restricted to the orthogonal group of one less dimension"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4440","kind":"arxiv","version":1},"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":"2026-05-18T03:10:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SGs2orYIZU2vkWG/dVENHimsQSGzhHYbKLEGgZf8vjHRCGWhnOiypVsLs3Aj2F/NYyCK6yx2vi6kG7gFJJNECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:30:01.755811Z"},"content_sha256":"b51c19d4633e846e00299bd2ed168b688cc67640dcfedf1208e8a7cb97e973f8","schema_version":"1.0","event_id":"sha256:b51c19d4633e846e00299bd2ed168b688cc67640dcfedf1208e8a7cb97e973f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6YZ7SS6NA3XJNKW4SGFISWOUCP/bundle.json","state_url":"https://pith.science/pith/6YZ7SS6NA3XJNKW4SGFISWOUCP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6YZ7SS6NA3XJNKW4SGFISWOUCP/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":"2026-06-09T10:30:01Z","links":{"resolver":"https://pith.science/pith/6YZ7SS6NA3XJNKW4SGFISWOUCP","bundle":"https://pith.science/pith/6YZ7SS6NA3XJNKW4SGFISWOUCP/bundle.json","state":"https://pith.science/pith/6YZ7SS6NA3XJNKW4SGFISWOUCP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6YZ7SS6NA3XJNKW4SGFISWOUCP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6YZ7SS6NA3XJNKW4SGFISWOUCP","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":"5e09e0ea6e000c2ebc90fcd43e4852a72b5d16d0039fedcfc6f7286b16397ee3","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T16:33:26Z","title_canon_sha256":"92000275450455796ba75f72ef03ba2bdb5f355ce44280d02a7008095adac09e"},"schema_version":"1.0","source":{"id":"1310.4440","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4440","created_at":"2026-05-18T03:10:15Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4440v1","created_at":"2026-05-18T03:10:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4440","created_at":"2026-05-18T03:10:15Z"},{"alias_kind":"pith_short_12","alias_value":"6YZ7SS6NA3XJ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6YZ7SS6NA3XJNKW4","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6YZ7SS6N","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:b51c19d4633e846e00299bd2ed168b688cc67640dcfedf1208e8a7cb97e973f8","target":"graph","created_at":"2026-05-18T03:10:15Z","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 determine the irreducible constituents of the Steinberg character of an orthogonal group over a finite field restricted to the orthogonal group of one less dimension","authors_text":"A.E. Zalesski","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T16:33:26Z","title":"On the Steinberg character of an orthogonal group over a finite field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4440","kind":"arxiv","version":1},"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:ba38673f43c29900c41cad29d969630aa6dbea75a840f9fd8bbfd62bded303d6","target":"record","created_at":"2026-05-18T03:10:15Z","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":"5e09e0ea6e000c2ebc90fcd43e4852a72b5d16d0039fedcfc6f7286b16397ee3","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T16:33:26Z","title_canon_sha256":"92000275450455796ba75f72ef03ba2bdb5f355ce44280d02a7008095adac09e"},"schema_version":"1.0","source":{"id":"1310.4440","kind":"arxiv","version":1}},"canonical_sha256":"f633f94bcd06ee96aadc918a8959d413cf9665fc7b7b8a646970eadd919a406a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f633f94bcd06ee96aadc918a8959d413cf9665fc7b7b8a646970eadd919a406a","first_computed_at":"2026-05-18T03:10:15.044375Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:15.044375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TDqfpZw0SwmBOoUs6mLKpvKXwXDeG7AvNuo1UcmoHfEleN9cvsnaq8KgjGYffBtCVJ19G/PFO1YTSubz2xmIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:15.045303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4440","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba38673f43c29900c41cad29d969630aa6dbea75a840f9fd8bbfd62bded303d6","sha256:b51c19d4633e846e00299bd2ed168b688cc67640dcfedf1208e8a7cb97e973f8"],"state_sha256":"236781b64e6e91edad752d27bef0752117ee014bac2047911706c6dd1f97c750"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oe1T0Zv3FkuzlzbqZrPC1oCHultpu3zrIGWF9lder1gxnGnm6Kq7S0/kMg5jCwvX9t4ZCm+4ADgdvqc26kEkBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T10:30:01.760122Z","bundle_sha256":"8f7004c4311379e4ecfc8860c6ef2731f4b37714158718b010792b0224a1c52c"}}