{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:IMMR2LCXTAGWAEUMWA734GOIQY","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":"5a071d8cb47dc80d41e436369e061862e3ed97b82e5e72b1dc7c1d60b543f1ff","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1999-03-04T10:11:58Z","title_canon_sha256":"21b316a4653c888c0c65a6353abd9074f60c1dd5457b090f3c6448252616af6e"},"schema_version":"1.0","source":{"id":"solv-int/9903004","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9903004","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9903004v1","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9903004","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"pith_short_12","alias_value":"IMMR2LCXTAGW","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IMMR2LCXTAGWAEUM","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IMMR2LCX","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:f364d626c4f8ad776a7660038b4daec89575f1ac0692ba8040cf609203d5b37d","target":"graph","created_at":"2026-05-18T03:41:13Z","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 question of constructing the finite genus quasiperiodic solutions for the Ablowitz-Ladik hierarchy (ALH) is considered by establishing relations between the ALH and the Fay's identity for the theta-functions. It is shown that using a limiting procedure one can derive from the latter an infinite number of differential identities which can be arranged as an infinite set of differential-difference equations coinciding with the equations of the ALH, and that the original Fay's identity can be rewritten in a form similar to the functional equations representing the ALH which have been derived i","authors_text":"V.E. Vekslerchik","cross_cats":["nlin.SI"],"headline":"","license":"","primary_cat":"solv-int","submitted_at":"1999-03-04T10:11:58Z","title":"Finite genus solutions for the Ablowitz-Ladik hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9903004","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":"sha256:33fbe511a9a185fa0e1a989237a34a594db4e904a22bb6af9d2b5337a715a212","target":"record","created_at":"2026-05-18T03:41:13Z","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":"5a071d8cb47dc80d41e436369e061862e3ed97b82e5e72b1dc7c1d60b543f1ff","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1999-03-04T10:11:58Z","title_canon_sha256":"21b316a4653c888c0c65a6353abd9074f60c1dd5457b090f3c6448252616af6e"},"schema_version":"1.0","source":{"id":"solv-int/9903004","kind":"arxiv","version":1}},"canonical_sha256":"43191d2c57980d60128cb03fbe19c886182bf99e491c298ab0c808e81987817f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43191d2c57980d60128cb03fbe19c886182bf99e491c298ab0c808e81987817f","first_computed_at":"2026-05-18T03:41:13.024261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:13.024261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R/EESWDZAn55HWXMVtBv2skIOu95MEJTVhGRQGViVs8qJZlcmJ90FiyS3LhGxDHDHD0ueaTOR2jk5pIqAu+IBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:13.024874Z","signed_message":"canonical_sha256_bytes"},"source_id":"solv-int/9903004","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33fbe511a9a185fa0e1a989237a34a594db4e904a22bb6af9d2b5337a715a212","sha256:f364d626c4f8ad776a7660038b4daec89575f1ac0692ba8040cf609203d5b37d"],"state_sha256":"e04a71c686b4a7386445f064f7909b537cfcc5e3a1d3b774aaa63bdb3a1e0573"}