{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NSUPQ2A5AGHEGQ2ADSCDLQQ5YH","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":"aa59b2c3e02e61b4beebb401a37b794f124cdd3f5d82ef7491208e7b35b815e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-04-15T06:50:09Z","title_canon_sha256":"4e8257ec640fb3c3352ee51137021ae8ba4a056bf03d27834d2139c3402137ec"},"schema_version":"1.0","source":{"id":"1504.03794","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03794","created_at":"2026-05-18T00:35:09Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03794v3","created_at":"2026-05-18T00:35:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03794","created_at":"2026-05-18T00:35:09Z"},{"alias_kind":"pith_short_12","alias_value":"NSUPQ2A5AGHE","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NSUPQ2A5AGHEGQ2A","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NSUPQ2A5","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:19818139a3f56e396b4c516e4c171e376c74909f8b629f10e2fca0b74c901a85","target":"graph","created_at":"2026-05-18T00:35:09Z","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":"This paper studies an algorithm similar to that of Gaussian elimination in symplectic and orthogonal groups. We discuss two applications of this algorithm in computational group theory. One computes the spinor norm and the other computes the double coset decomposition with respect to Siegel maximal parabolic subgroup.","authors_text":"Anupam Singh, Ayan Mahalanobis, Pralhad Shinde, Sushil Bhunia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-04-15T06:50:09Z","title":"Gaussian Elimination in Symplectic and split orthogonal groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03794","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":"sha256:06b465551580caf1a22ab11dcd8bb49df3e6aa872409d47b03d621ccff2fb597","target":"record","created_at":"2026-05-18T00:35:09Z","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":"aa59b2c3e02e61b4beebb401a37b794f124cdd3f5d82ef7491208e7b35b815e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-04-15T06:50:09Z","title_canon_sha256":"4e8257ec640fb3c3352ee51137021ae8ba4a056bf03d27834d2139c3402137ec"},"schema_version":"1.0","source":{"id":"1504.03794","kind":"arxiv","version":3}},"canonical_sha256":"6ca8f8681d018e4343401c8435c21dc1fc8bec8565982e7ca00348a77900988d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ca8f8681d018e4343401c8435c21dc1fc8bec8565982e7ca00348a77900988d","first_computed_at":"2026-05-18T00:35:09.632008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:09.632008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lh9kOV2t/eXhizolQN3ZoOq87GpZm8I18zkx3eiGBqrWAGoiHgNBDDw/rrj8Cws2e0F/LzjnnCxMzCEmDJw9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:09.632366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03794","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06b465551580caf1a22ab11dcd8bb49df3e6aa872409d47b03d621ccff2fb597","sha256:19818139a3f56e396b4c516e4c171e376c74909f8b629f10e2fca0b74c901a85"],"state_sha256":"532750e31a1b9d56074f5cff01f9e1da73d95bf89ec021900c5f969c4b3f4334"}