{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YIDEBMSO7BA7XTJQ5NJBVVI2KI","short_pith_number":"pith:YIDEBMSO","canonical_record":{"source":{"id":"1210.8356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-10-31T15:04:20Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"863a883e26cb6c5ca7f8134f56f3f94e1f34f1779f38964a4ce73a4689758e56","abstract_canon_sha256":"2c68567766bb15f0203a7af21bd29231ad63666ff63421e48eee29c7f2e4123d"},"schema_version":"1.0"},"canonical_sha256":"c20640b24ef841fbcd30eb521ad51a52214deb45e9e7ef7728d902c68fb69968","source":{"kind":"arxiv","id":"1210.8356","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.8356","created_at":"2026-05-18T03:41:55Z"},{"alias_kind":"arxiv_version","alias_value":"1210.8356v1","created_at":"2026-05-18T03:41:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.8356","created_at":"2026-05-18T03:41:55Z"},{"alias_kind":"pith_short_12","alias_value":"YIDEBMSO7BA7","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YIDEBMSO7BA7XTJQ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YIDEBMSO","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YIDEBMSO7BA7XTJQ5NJBVVI2KI","target":"record","payload":{"canonical_record":{"source":{"id":"1210.8356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-10-31T15:04:20Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"863a883e26cb6c5ca7f8134f56f3f94e1f34f1779f38964a4ce73a4689758e56","abstract_canon_sha256":"2c68567766bb15f0203a7af21bd29231ad63666ff63421e48eee29c7f2e4123d"},"schema_version":"1.0"},"canonical_sha256":"c20640b24ef841fbcd30eb521ad51a52214deb45e9e7ef7728d902c68fb69968","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:55.265839Z","signature_b64":"fR7oKwN5V/PPN4x8WcGiwsASp16kVoXFufdoI5ltQth3NV6ZoebR8EYFK0Pa7UpAB1a/l2jViUumyZCVukc9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c20640b24ef841fbcd30eb521ad51a52214deb45e9e7ef7728d902c68fb69968","last_reissued_at":"2026-05-18T03:41:55.265063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:55.265063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.8356","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":"2026-05-18T03:41:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kvFzLiQLFUqK6RkncDUa2nSXeV6hwU8iiNJkeEV/Y6Lxvf6b3xQEafRWlemo3kLF9IrcvcwEAbEioc9F9HVwAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T15:23:57.821590Z"},"content_sha256":"65a493a149348fa4730e1fd02d1f9b376624b2bdaeda95b44a1724432bfc3758","schema_version":"1.0","event_id":"sha256:65a493a149348fa4730e1fd02d1f9b376624b2bdaeda95b44a1724432bfc3758"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YIDEBMSO7BA7XTJQ5NJBVVI2KI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Epimorphisms of pseudo-quadratic polar spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"Koen Struyve, Petra Schwer","submitted_at":"2012-10-31T15:04:20Z","abstract_excerpt":"We classify the epimorphisms of the buildings ${BC}_l(K,K_0,\\sigma,L, q_0)$, where l is at least two, of pseudo-quadratic form type. This completes the classification of epimorphisms of irreducible spherical Moufang buildings of rank at least two."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.8356","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":"2026-05-18T03:41:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rNakpc6SD2/KVLUZSR82dbOAPwxxY4URuICR4PzdaKjJ83RYwy7VNEP8dZhsbrAIqBgEl2A+Mn8lSIgSbZABBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T15:23:57.822086Z"},"content_sha256":"a1a3928fab991a1e12f900017a6b8a8c3b8805187c2fc80c4888680bcb5f50d3","schema_version":"1.0","event_id":"sha256:a1a3928fab991a1e12f900017a6b8a8c3b8805187c2fc80c4888680bcb5f50d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YIDEBMSO7BA7XTJQ5NJBVVI2KI/bundle.json","state_url":"https://pith.science/pith/YIDEBMSO7BA7XTJQ5NJBVVI2KI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YIDEBMSO7BA7XTJQ5NJBVVI2KI/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":"2026-05-22T15:23:57Z","links":{"resolver":"https://pith.science/pith/YIDEBMSO7BA7XTJQ5NJBVVI2KI","bundle":"https://pith.science/pith/YIDEBMSO7BA7XTJQ5NJBVVI2KI/bundle.json","state":"https://pith.science/pith/YIDEBMSO7BA7XTJQ5NJBVVI2KI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YIDEBMSO7BA7XTJQ5NJBVVI2KI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YIDEBMSO7BA7XTJQ5NJBVVI2KI","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":"2c68567766bb15f0203a7af21bd29231ad63666ff63421e48eee29c7f2e4123d","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-10-31T15:04:20Z","title_canon_sha256":"863a883e26cb6c5ca7f8134f56f3f94e1f34f1779f38964a4ce73a4689758e56"},"schema_version":"1.0","source":{"id":"1210.8356","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.8356","created_at":"2026-05-18T03:41:55Z"},{"alias_kind":"arxiv_version","alias_value":"1210.8356v1","created_at":"2026-05-18T03:41:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.8356","created_at":"2026-05-18T03:41:55Z"},{"alias_kind":"pith_short_12","alias_value":"YIDEBMSO7BA7","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YIDEBMSO7BA7XTJQ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YIDEBMSO","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:a1a3928fab991a1e12f900017a6b8a8c3b8805187c2fc80c4888680bcb5f50d3","target":"graph","created_at":"2026-05-18T03:41:55Z","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 classify the epimorphisms of the buildings ${BC}_l(K,K_0,\\sigma,L, q_0)$, where l is at least two, of pseudo-quadratic form type. This completes the classification of epimorphisms of irreducible spherical Moufang buildings of rank at least two.","authors_text":"Koen Struyve, Petra Schwer","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-10-31T15:04:20Z","title":"Epimorphisms of pseudo-quadratic polar spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.8356","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":"sha256:65a493a149348fa4730e1fd02d1f9b376624b2bdaeda95b44a1724432bfc3758","target":"record","created_at":"2026-05-18T03:41:55Z","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":"2c68567766bb15f0203a7af21bd29231ad63666ff63421e48eee29c7f2e4123d","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-10-31T15:04:20Z","title_canon_sha256":"863a883e26cb6c5ca7f8134f56f3f94e1f34f1779f38964a4ce73a4689758e56"},"schema_version":"1.0","source":{"id":"1210.8356","kind":"arxiv","version":1}},"canonical_sha256":"c20640b24ef841fbcd30eb521ad51a52214deb45e9e7ef7728d902c68fb69968","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c20640b24ef841fbcd30eb521ad51a52214deb45e9e7ef7728d902c68fb69968","first_computed_at":"2026-05-18T03:41:55.265063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:55.265063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fR7oKwN5V/PPN4x8WcGiwsASp16kVoXFufdoI5ltQth3NV6ZoebR8EYFK0Pa7UpAB1a/l2jViUumyZCVukc9BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:55.265839Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.8356","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65a493a149348fa4730e1fd02d1f9b376624b2bdaeda95b44a1724432bfc3758","sha256:a1a3928fab991a1e12f900017a6b8a8c3b8805187c2fc80c4888680bcb5f50d3"],"state_sha256":"f35c4ff93d3722bae76ba3316866c2820a51d4841d021ecf3bb893d74487945f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t7VPsUMhuvU1wR6ryr2PhSUOWv2Z677mguWwDkfMgT+5BOPeGOrjGBfhdAFUg/F6DuPEYlcytxxiSB/kDwNOBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T15:23:57.825598Z","bundle_sha256":"a3f81a00b6196279513b19e72f033c96d523a5663e853b9bbefa4fec468803bb"}}