{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XYIKFTMLXBSOOM4FQLRHY5DZGC","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":"626770ead209530f7c6a9831aac669530b555e5e119b218f92c64fb37dfbf599","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-09-10T07:42:43Z","title_canon_sha256":"b2431ed1af67d6a05e48666df827d03c09b09745268cb8beaee653bc25bee165"},"schema_version":"1.0","source":{"id":"1609.03009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03009","created_at":"2026-05-18T01:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03009v1","created_at":"2026-05-18T01:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03009","created_at":"2026-05-18T01:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"XYIKFTMLXBSO","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XYIKFTMLXBSOOM4F","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XYIKFTML","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:6a5ebf265de22206a68d7a4546c785c0f0fc8d2300fe671cf5f87f207bf77a7e","target":"graph","created_at":"2026-05-18T01:04:49Z","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":"We construct the Hermite--Halphen--Bloch solution for the two-gap ($n=2$) Lam\\'e equation of Jacobian form and give closed formulae to calculate the energy band dispersion relation.","authors_text":"A. S. Ovchinnikov, Jun-ichiro Kishine","cross_cats":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-09-10T07:42:43Z","title":"Hermite-Halphen-Bloch solution of two-gap Lam\\'e equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03009","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:e2ae7b5dc7d87a87fe214f9c43fd353af81bb0be7477cb01542e5549688ce19c","target":"record","created_at":"2026-05-18T01:04:49Z","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":"626770ead209530f7c6a9831aac669530b555e5e119b218f92c64fb37dfbf599","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-09-10T07:42:43Z","title_canon_sha256":"b2431ed1af67d6a05e48666df827d03c09b09745268cb8beaee653bc25bee165"},"schema_version":"1.0","source":{"id":"1609.03009","kind":"arxiv","version":1}},"canonical_sha256":"be10a2cd8bb864e7338582e27c7479308c3a8bbd91ec61bee119a3852c880c0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be10a2cd8bb864e7338582e27c7479308c3a8bbd91ec61bee119a3852c880c0f","first_computed_at":"2026-05-18T01:04:49.166867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:49.166867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PYTYtpBPIDUGJ1NCBu/e5o3/xz3hOSgNyao/4Th8JqhyyJq06CLidKuzO0smtAPNwzrfCMHwxppNb/3wdmFbDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:49.167308Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2ae7b5dc7d87a87fe214f9c43fd353af81bb0be7477cb01542e5549688ce19c","sha256:6a5ebf265de22206a68d7a4546c785c0f0fc8d2300fe671cf5f87f207bf77a7e"],"state_sha256":"892929bf10b88fce7b141ab6dc8d91fc7e8cb194d8bc148deaff84b236904eff"}