{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:V3ECBQSKUUSBNHJHLZCSFCINCG","short_pith_number":"pith:V3ECBQSK","schema_version":"1.0","canonical_sha256":"aec820c24aa524169d275e4522890d11a735ae73f9ec59cea5dfa491a214be7f","source":{"kind":"arxiv","id":"1406.1522","version":1},"attestation_state":"computed","paper":{"title":"Necessary integrability conditions for evolutionary lattice equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"V.E. Adler","submitted_at":"2014-06-05T21:01:01Z","abstract_excerpt":"The structure of solutions is studied for the Lax equation $D_t(G)=[F,G]$ for formal power series with respect to the shift operator. It is proved that if the equation with a given series $F$ of degree $m$ admits a solution $G$ of degree $k$ then it admits, as well, a solution $H$ of degree $m$ such that $H^k=G^m$. This property is used for derivation of necessary integrability conditions for scalar evolutionary lattices."},"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":"1406.1522","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T21:01:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"496ee4c4651f4ea8a80c34394ab27655271f5ecf7b3de03887633c1549b32a86","abstract_canon_sha256":"c63d75fece675609181ea559d496d25153493a6637069cd420886e8be8c4d212"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:36.299004Z","signature_b64":"UrLt7HBPBvQi/Q7KLt5R/SkHKbHI9jDj0enP889jovQdDp+e3h4H8Le0kBw5bQy8s7fPOSGSdrHmzspD3rZqCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aec820c24aa524169d275e4522890d11a735ae73f9ec59cea5dfa491a214be7f","last_reissued_at":"2026-05-18T00:43:36.298641Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:36.298641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Necessary integrability conditions for evolutionary lattice equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"V.E. Adler","submitted_at":"2014-06-05T21:01:01Z","abstract_excerpt":"The structure of solutions is studied for the Lax equation $D_t(G)=[F,G]$ for formal power series with respect to the shift operator. It is proved that if the equation with a given series $F$ of degree $m$ admits a solution $G$ of degree $k$ then it admits, as well, a solution $H$ of degree $m$ such that $H^k=G^m$. This property is used for derivation of necessary integrability conditions for scalar evolutionary lattices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1522","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":""},"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":"1406.1522","created_at":"2026-05-18T00:43:36.298696+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.1522v1","created_at":"2026-05-18T00:43:36.298696+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1522","created_at":"2026-05-18T00:43:36.298696+00:00"},{"alias_kind":"pith_short_12","alias_value":"V3ECBQSKUUSB","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"V3ECBQSKUUSBNHJH","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"V3ECBQSK","created_at":"2026-05-18T12:28:52.271510+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/V3ECBQSKUUSBNHJHLZCSFCINCG","json":"https://pith.science/pith/V3ECBQSKUUSBNHJHLZCSFCINCG.json","graph_json":"https://pith.science/api/pith-number/V3ECBQSKUUSBNHJHLZCSFCINCG/graph.json","events_json":"https://pith.science/api/pith-number/V3ECBQSKUUSBNHJHLZCSFCINCG/events.json","paper":"https://pith.science/paper/V3ECBQSK"},"agent_actions":{"view_html":"https://pith.science/pith/V3ECBQSKUUSBNHJHLZCSFCINCG","download_json":"https://pith.science/pith/V3ECBQSKUUSBNHJHLZCSFCINCG.json","view_paper":"https://pith.science/paper/V3ECBQSK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.1522&json=true","fetch_graph":"https://pith.science/api/pith-number/V3ECBQSKUUSBNHJHLZCSFCINCG/graph.json","fetch_events":"https://pith.science/api/pith-number/V3ECBQSKUUSBNHJHLZCSFCINCG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V3ECBQSKUUSBNHJHLZCSFCINCG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V3ECBQSKUUSBNHJHLZCSFCINCG/action/storage_attestation","attest_author":"https://pith.science/pith/V3ECBQSKUUSBNHJHLZCSFCINCG/action/author_attestation","sign_citation":"https://pith.science/pith/V3ECBQSKUUSBNHJHLZCSFCINCG/action/citation_signature","submit_replication":"https://pith.science/pith/V3ECBQSKUUSBNHJHLZCSFCINCG/action/replication_record"}},"created_at":"2026-05-18T00:43:36.298696+00:00","updated_at":"2026-05-18T00:43:36.298696+00:00"}