{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:LCYO5QAF6DDWIS5ZJS57W74K3D","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":"78121252d6abcd0d4b776f4915da713f6557bde4c51d5e08552d1b2a591d87a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2008-11-10T13:40:33Z","title_canon_sha256":"0c98df555463852374a7c6c1d0a710e44a70b989347fd3af76bfa0a87f16a4d4"},"schema_version":"1.0","source":{"id":"0811.1469","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.1469","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"arxiv_version","alias_value":"0811.1469v1","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.1469","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"pith_short_12","alias_value":"LCYO5QAF6DDW","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"LCYO5QAF6DDWIS5Z","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"LCYO5QAF","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:56076e7d55272ad8c5900e57150541ff3f2a6ec9fd91d799e21feeb340e3241e","target":"graph","created_at":"2026-05-18T02:15:21Z","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":"The Adler-Shiota-van Moerbeke formula is employed to derive the $W$-constraints for the $p$-reduced BKP hierarchy constrained by the string equation. We also provide the Grassmannian description of the string equation in terms of the spectral parameter.","authors_text":"Hsin-Fu Shen, Ming-Hsien Tu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2008-11-10T13:40:33Z","title":"On the String Equation of the BKP Hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.1469","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":"sha256:9a34fb3c962650c444fb3921bf63386d364ddcfad60241e8918d606ccfdf02e9","target":"record","created_at":"2026-05-18T02:15:21Z","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":"78121252d6abcd0d4b776f4915da713f6557bde4c51d5e08552d1b2a591d87a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2008-11-10T13:40:33Z","title_canon_sha256":"0c98df555463852374a7c6c1d0a710e44a70b989347fd3af76bfa0a87f16a4d4"},"schema_version":"1.0","source":{"id":"0811.1469","kind":"arxiv","version":1}},"canonical_sha256":"58b0eec005f0c7644bb94cbbfb7f8ad8c57565900e21c74d76ed85ea7df9e4cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58b0eec005f0c7644bb94cbbfb7f8ad8c57565900e21c74d76ed85ea7df9e4cd","first_computed_at":"2026-05-18T02:15:21.671333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:21.671333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F18e+udYti1OuRuxE/KPG5owKg6+eOuksxdGWZvSV0iZuT1F9efaAF/0qTh7+f61o5jcw1J0JaPZvrLQ4fsKCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:21.672105Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.1469","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a34fb3c962650c444fb3921bf63386d364ddcfad60241e8918d606ccfdf02e9","sha256:56076e7d55272ad8c5900e57150541ff3f2a6ec9fd91d799e21feeb340e3241e"],"state_sha256":"582688563e1aa321d2fb0c4c2b1608c572b7fb9231ab331ec783acf562880583"}