{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:LE2SJO5TZ5ARBM7HTMMZMORTLG","short_pith_number":"pith:LE2SJO5T","schema_version":"1.0","canonical_sha256":"593524bbb3cf4110b3e79b19963a33598fbffaa602f0612e11ffcc942776dc3b","source":{"kind":"arxiv","id":"2605.17794","version":1},"attestation_state":"computed","paper":{"title":"The tau functions of the constrained CKP hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Danqi Chen, Jipeng Cheng, Shen Wang","submitted_at":"2026-05-18T03:19:44Z","abstract_excerpt":"The CKP hierarchy is one important sub-hierarchy of the KP hierarchy, which is quite special due to its tau function. Here we construct the tau functions for the constrained CKP hierarchy $(L^k)_{<0}=\\sum_{i=1}^{m}\\big(q_{1,i}\\partial^{-1}q_{2,i}-(-1)^kq_{2,i}\\partial^{-1}q_{1,i}\\big)$ with $k$ being odd or even positive integer by using the CKP Darboux transformations."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.17794","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2026-05-18T03:19:44Z","cross_cats_sorted":[],"title_canon_sha256":"ece432c978d2f3cdc1af65329bcc22555102ed57e51678c02b14c262578af4c2","abstract_canon_sha256":"e8689612d5b533ecb8e4024700a6cb5029d2181d80693ddc30bc9d65c41d4d99"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:04:58.655417Z","signature_b64":"tLYesCZj/pG886fnM1uGg6xBYZCjaz2V7CJZqg85aN2VOr1cSYy1Y5Y4Uq8hut2ybM2r+PhH6HZt6BRkUkTNAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"593524bbb3cf4110b3e79b19963a33598fbffaa602f0612e11ffcc942776dc3b","last_reissued_at":"2026-05-20T00:04:58.654593Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:04:58.654593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The tau functions of the constrained CKP hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Danqi Chen, Jipeng Cheng, Shen Wang","submitted_at":"2026-05-18T03:19:44Z","abstract_excerpt":"The CKP hierarchy is one important sub-hierarchy of the KP hierarchy, which is quite special due to its tau function. Here we construct the tau functions for the constrained CKP hierarchy $(L^k)_{<0}=\\sum_{i=1}^{m}\\big(q_{1,i}\\partial^{-1}q_{2,i}-(-1)^kq_{2,i}\\partial^{-1}q_{1,i}\\big)$ with $k$ being odd or even positive integer by using the CKP Darboux transformations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.17794","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17794/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.17794","created_at":"2026-05-20T00:04:58.654723+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.17794v1","created_at":"2026-05-20T00:04:58.654723+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17794","created_at":"2026-05-20T00:04:58.654723+00:00"},{"alias_kind":"pith_short_12","alias_value":"LE2SJO5TZ5AR","created_at":"2026-05-20T00:04:58.654723+00:00"},{"alias_kind":"pith_short_16","alias_value":"LE2SJO5TZ5ARBM7H","created_at":"2026-05-20T00:04:58.654723+00:00"},{"alias_kind":"pith_short_8","alias_value":"LE2SJO5T","created_at":"2026-05-20T00:04:58.654723+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LE2SJO5TZ5ARBM7HTMMZMORTLG","json":"https://pith.science/pith/LE2SJO5TZ5ARBM7HTMMZMORTLG.json","graph_json":"https://pith.science/api/pith-number/LE2SJO5TZ5ARBM7HTMMZMORTLG/graph.json","events_json":"https://pith.science/api/pith-number/LE2SJO5TZ5ARBM7HTMMZMORTLG/events.json","paper":"https://pith.science/paper/LE2SJO5T"},"agent_actions":{"view_html":"https://pith.science/pith/LE2SJO5TZ5ARBM7HTMMZMORTLG","download_json":"https://pith.science/pith/LE2SJO5TZ5ARBM7HTMMZMORTLG.json","view_paper":"https://pith.science/paper/LE2SJO5T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.17794&json=true","fetch_graph":"https://pith.science/api/pith-number/LE2SJO5TZ5ARBM7HTMMZMORTLG/graph.json","fetch_events":"https://pith.science/api/pith-number/LE2SJO5TZ5ARBM7HTMMZMORTLG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LE2SJO5TZ5ARBM7HTMMZMORTLG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LE2SJO5TZ5ARBM7HTMMZMORTLG/action/storage_attestation","attest_author":"https://pith.science/pith/LE2SJO5TZ5ARBM7HTMMZMORTLG/action/author_attestation","sign_citation":"https://pith.science/pith/LE2SJO5TZ5ARBM7HTMMZMORTLG/action/citation_signature","submit_replication":"https://pith.science/pith/LE2SJO5TZ5ARBM7HTMMZMORTLG/action/replication_record"}},"created_at":"2026-05-20T00:04:58.654723+00:00","updated_at":"2026-05-20T00:04:58.654723+00:00"}