{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FPSELNLRQMAD33Z7IQVRTGMCDT","short_pith_number":"pith:FPSELNLR","canonical_record":{"source":{"id":"1611.00824","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-11-02T21:58:52Z","cross_cats_sorted":[],"title_canon_sha256":"0ae9b2558b499661e016c267e885edd7a8ec867299669a5731e3f9e985f81b0e","abstract_canon_sha256":"b72a076ea1ba643ef1d09af42667e4a730aa6e5dbe5b689a04a761f1b14449bc"},"schema_version":"1.0"},"canonical_sha256":"2be445b57183003def3f442b1999821ce0a9ad836e906ed9a26b442de85d3ffa","source":{"kind":"arxiv","id":"1611.00824","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00824","created_at":"2026-05-18T00:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00824v3","created_at":"2026-05-18T00:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00824","created_at":"2026-05-18T00:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"FPSELNLRQMAD","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FPSELNLRQMAD33Z7","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FPSELNLR","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FPSELNLRQMAD33Z7IQVRTGMCDT","target":"record","payload":{"canonical_record":{"source":{"id":"1611.00824","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-11-02T21:58:52Z","cross_cats_sorted":[],"title_canon_sha256":"0ae9b2558b499661e016c267e885edd7a8ec867299669a5731e3f9e985f81b0e","abstract_canon_sha256":"b72a076ea1ba643ef1d09af42667e4a730aa6e5dbe5b689a04a761f1b14449bc"},"schema_version":"1.0"},"canonical_sha256":"2be445b57183003def3f442b1999821ce0a9ad836e906ed9a26b442de85d3ffa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:04.433543Z","signature_b64":"KMUE2UhehawoFUFrSgiztQkMoQesT3F4A4l6+lmDVsTd/aT9G7umPINuO4er/P9Ne0+YUvjtDHFcHvPU1N7pDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2be445b57183003def3f442b1999821ce0a9ad836e906ed9a26b442de85d3ffa","last_reissued_at":"2026-05-18T00:19:04.432913Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:04.432913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.00824","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lcopB4SlAfGc4ceWcvx9Sie8yc+eBFUl+H76SmgRAnmIdZMVIPRx4y7AR943JSs6a9sEupO8vT/zpYVs+4nZCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T07:19:48.959097Z"},"content_sha256":"5ea2cef43e2af41eaf866a586affae44f73b13f897960307ba8711dbc15496d4","schema_version":"1.0","event_id":"sha256:5ea2cef43e2af41eaf866a586affae44f73b13f897960307ba8711dbc15496d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FPSELNLRQMAD33Z7IQVRTGMCDT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unitary groups and ramified extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"F. Szechtman, J. Cruickshank","submitted_at":"2016-11-02T21:58:52Z","abstract_excerpt":"We classify all non-degenerate skew-hermitian forms defined over certain local rings, not necessarily commutative, and study some of the fundamental properties of the associated unitary groups, including their orders when the ring in question is finite."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00824","kind":"arxiv","version":3},"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":"2026-05-18T00:19:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jWVelGEZHQa2oLgTKaW7QdePidCMEVgOaL++/OMvXlj2qOYmxIvSbwFCO7TllBUXweFB0gVRlG9uRfDMCu8jDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T07:19:48.959454Z"},"content_sha256":"f96fbc8d485c2a21496907567d68c9542b586765cd39155a7ba7b78a90630e93","schema_version":"1.0","event_id":"sha256:f96fbc8d485c2a21496907567d68c9542b586765cd39155a7ba7b78a90630e93"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FPSELNLRQMAD33Z7IQVRTGMCDT/bundle.json","state_url":"https://pith.science/pith/FPSELNLRQMAD33Z7IQVRTGMCDT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FPSELNLRQMAD33Z7IQVRTGMCDT/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":"2026-06-20T07:19:48Z","links":{"resolver":"https://pith.science/pith/FPSELNLRQMAD33Z7IQVRTGMCDT","bundle":"https://pith.science/pith/FPSELNLRQMAD33Z7IQVRTGMCDT/bundle.json","state":"https://pith.science/pith/FPSELNLRQMAD33Z7IQVRTGMCDT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FPSELNLRQMAD33Z7IQVRTGMCDT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FPSELNLRQMAD33Z7IQVRTGMCDT","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":"b72a076ea1ba643ef1d09af42667e4a730aa6e5dbe5b689a04a761f1b14449bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-11-02T21:58:52Z","title_canon_sha256":"0ae9b2558b499661e016c267e885edd7a8ec867299669a5731e3f9e985f81b0e"},"schema_version":"1.0","source":{"id":"1611.00824","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00824","created_at":"2026-05-18T00:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00824v3","created_at":"2026-05-18T00:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00824","created_at":"2026-05-18T00:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"FPSELNLRQMAD","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FPSELNLRQMAD33Z7","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FPSELNLR","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:f96fbc8d485c2a21496907567d68c9542b586765cd39155a7ba7b78a90630e93","target":"graph","created_at":"2026-05-18T00:19:04Z","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 all non-degenerate skew-hermitian forms defined over certain local rings, not necessarily commutative, and study some of the fundamental properties of the associated unitary groups, including their orders when the ring in question is finite.","authors_text":"F. Szechtman, J. Cruickshank","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-11-02T21:58:52Z","title":"Unitary groups and ramified extensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00824","kind":"arxiv","version":3},"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":"sha256:5ea2cef43e2af41eaf866a586affae44f73b13f897960307ba8711dbc15496d4","target":"record","created_at":"2026-05-18T00:19:04Z","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":"b72a076ea1ba643ef1d09af42667e4a730aa6e5dbe5b689a04a761f1b14449bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-11-02T21:58:52Z","title_canon_sha256":"0ae9b2558b499661e016c267e885edd7a8ec867299669a5731e3f9e985f81b0e"},"schema_version":"1.0","source":{"id":"1611.00824","kind":"arxiv","version":3}},"canonical_sha256":"2be445b57183003def3f442b1999821ce0a9ad836e906ed9a26b442de85d3ffa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2be445b57183003def3f442b1999821ce0a9ad836e906ed9a26b442de85d3ffa","first_computed_at":"2026-05-18T00:19:04.432913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:04.432913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KMUE2UhehawoFUFrSgiztQkMoQesT3F4A4l6+lmDVsTd/aT9G7umPINuO4er/P9Ne0+YUvjtDHFcHvPU1N7pDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:04.433543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00824","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ea2cef43e2af41eaf866a586affae44f73b13f897960307ba8711dbc15496d4","sha256:f96fbc8d485c2a21496907567d68c9542b586765cd39155a7ba7b78a90630e93"],"state_sha256":"4ef694df0a0d3179632ded0add71966293bc9e30e335d72af25e56dcb4471962"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o4s8y//zLvHEQGa3Y/3pRjMGGjNwKUI+f3e8boUzChUVQz+U60x9tqFgJMYZ4P9J3rBd07kUNwczNGUhdo9MDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T07:19:48.961339Z","bundle_sha256":"69640579cc20fccbdc9d074afd7e2502c1a9e3f79e16fe5d0700f41b4a86fbd7"}}