{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:ZQLCZX4RJXNB2UV6ROMICVNUEX","short_pith_number":"pith:ZQLCZX4R","schema_version":"1.0","canonical_sha256":"cc162cdf914dda1d52be8b988155b425d0d0fdf1e1f407f68392b8507bc1e6a0","source":{"kind":"arxiv","id":"2406.13423","version":2},"attestation_state":"computed","paper":{"title":"Lagrangian multiform structure of discrete and semi-discrete KP systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Frank W Nijhoff","submitted_at":"2024-06-19T10:29:28Z","abstract_excerpt":"A variational structure for the potential AKP system is established using the novel formalism of a Lagrangian multiforms. The structure comprises not only the fully discrete equation on the 3D lattice, but also its semi-discrete variants including several differential-difference equations asssociated with, and compatible with, the partial difference equation. To this end, an overview is given of the various (discrete and semi-discrete) variants of the KP system, and their associated Lax representations, including a novel `generating PDE' for the KP hierarchy. The exterior derivative of the Lag"},"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":"2406.13423","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2024-06-19T10:29:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4cd6e2c1e3cd645f7893c2a5ae5c2b1ad49924be2703d2a9a658d0cf267a53ee","abstract_canon_sha256":"91b8e3f1e5a3a636164a61a82e0afa9392e4c6af897838c737028fb178242cfb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:52:33.945595Z","signature_b64":"Q0h8J2iXbrBSXJtTtibYIWRo/sY0pa9m6d8y/UJtBH8bRZcR7JgNqaPvLk3lTYk38Z8HcKgN3ET2IJcZCVbiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc162cdf914dda1d52be8b988155b425d0d0fdf1e1f407f68392b8507bc1e6a0","last_reissued_at":"2026-07-05T08:52:33.945082Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:52:33.945082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lagrangian multiform structure of discrete and semi-discrete KP systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Frank W Nijhoff","submitted_at":"2024-06-19T10:29:28Z","abstract_excerpt":"A variational structure for the potential AKP system is established using the novel formalism of a Lagrangian multiforms. The structure comprises not only the fully discrete equation on the 3D lattice, but also its semi-discrete variants including several differential-difference equations asssociated with, and compatible with, the partial difference equation. To this end, an overview is given of the various (discrete and semi-discrete) variants of the KP system, and their associated Lax representations, including a novel `generating PDE' for the KP hierarchy. The exterior derivative of the Lag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.13423","kind":"arxiv","version":2},"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/2406.13423/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":"2406.13423","created_at":"2026-07-05T08:52:33.945140+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.13423v2","created_at":"2026-07-05T08:52:33.945140+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.13423","created_at":"2026-07-05T08:52:33.945140+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZQLCZX4RJXNB","created_at":"2026-07-05T08:52:33.945140+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZQLCZX4RJXNB2UV6","created_at":"2026-07-05T08:52:33.945140+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZQLCZX4R","created_at":"2026-07-05T08:52:33.945140+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.13012","citing_title":"Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZQLCZX4RJXNB2UV6ROMICVNUEX","json":"https://pith.science/pith/ZQLCZX4RJXNB2UV6ROMICVNUEX.json","graph_json":"https://pith.science/api/pith-number/ZQLCZX4RJXNB2UV6ROMICVNUEX/graph.json","events_json":"https://pith.science/api/pith-number/ZQLCZX4RJXNB2UV6ROMICVNUEX/events.json","paper":"https://pith.science/paper/ZQLCZX4R"},"agent_actions":{"view_html":"https://pith.science/pith/ZQLCZX4RJXNB2UV6ROMICVNUEX","download_json":"https://pith.science/pith/ZQLCZX4RJXNB2UV6ROMICVNUEX.json","view_paper":"https://pith.science/paper/ZQLCZX4R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.13423&json=true","fetch_graph":"https://pith.science/api/pith-number/ZQLCZX4RJXNB2UV6ROMICVNUEX/graph.json","fetch_events":"https://pith.science/api/pith-number/ZQLCZX4RJXNB2UV6ROMICVNUEX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZQLCZX4RJXNB2UV6ROMICVNUEX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZQLCZX4RJXNB2UV6ROMICVNUEX/action/storage_attestation","attest_author":"https://pith.science/pith/ZQLCZX4RJXNB2UV6ROMICVNUEX/action/author_attestation","sign_citation":"https://pith.science/pith/ZQLCZX4RJXNB2UV6ROMICVNUEX/action/citation_signature","submit_replication":"https://pith.science/pith/ZQLCZX4RJXNB2UV6ROMICVNUEX/action/replication_record"}},"created_at":"2026-07-05T08:52:33.945140+00:00","updated_at":"2026-07-05T08:52:33.945140+00:00"}