{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FMOF7FMQR7K3WN2EEJXH7BG5OF","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":"b0e8b1823464d31dabcfc7c288f75121045e1d5e724ae0e489d28ac8d69d8214","cross_cats_sorted":["math.CO","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-14T12:47:53Z","title_canon_sha256":"8b84e056070604d26fd30b88825ebea3e07c33fc0ff666ab2629b538da00eab9"},"schema_version":"1.0","source":{"id":"1602.04448","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04448","created_at":"2026-05-18T01:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04448v1","created_at":"2026-05-18T01:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04448","created_at":"2026-05-18T01:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"FMOF7FMQR7K3","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FMOF7FMQR7K3WN2E","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FMOF7FMQ","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:b4be73c9b542c8b1aa7261ee7dd1b9ffe08339d0c908341584c6eee650a626bf","target":"graph","created_at":"2026-05-18T01:20:49Z","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 prove a Pfaffain formula for the $K$-theory class of the degeneracy loci in the bundle of odd maximal orthogonal Grassmannians.","authors_text":"Hiroshi Naruse, Takeshi Ikeda, Thomas Hudson, Tomoo Matsumura","cross_cats":["math.CO","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-14T12:47:53Z","title":"Pfaffian formula for $K$-theory of odd orthogonal Grassmannians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04448","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:d3c0e7ccb1e94703c1451b86cf30e6c60b4799976f75ee055144dcee300b6c71","target":"record","created_at":"2026-05-18T01:20:49Z","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":"b0e8b1823464d31dabcfc7c288f75121045e1d5e724ae0e489d28ac8d69d8214","cross_cats_sorted":["math.CO","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-14T12:47:53Z","title_canon_sha256":"8b84e056070604d26fd30b88825ebea3e07c33fc0ff666ab2629b538da00eab9"},"schema_version":"1.0","source":{"id":"1602.04448","kind":"arxiv","version":1}},"canonical_sha256":"2b1c5f95908fd5bb3744226e7f84dd7173422e6d0f46a1a272d01109517eef2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b1c5f95908fd5bb3744226e7f84dd7173422e6d0f46a1a272d01109517eef2b","first_computed_at":"2026-05-18T01:20:49.899927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:49.899927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pZFuqIlM5dozMxHB2BIoMbBRb95WuNH4JNcKHNWOkP6rVDeu9CI8o2jdpdk4WxnYjuqlQcMyikLVgKdWHbqVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:49.900529Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.04448","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3c0e7ccb1e94703c1451b86cf30e6c60b4799976f75ee055144dcee300b6c71","sha256:b4be73c9b542c8b1aa7261ee7dd1b9ffe08339d0c908341584c6eee650a626bf"],"state_sha256":"e62922378480f52fb58eab56fec53eac597f8959e903089a21ce25bdbaaf228d"}