{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GZWN6DXRE5L3UZJKQHR6CWRNHV","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":"6e6bc9450a479d6ddcbf3308543fe455c5dd99f9bfdce9d000012d186b519719","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-01-17T17:37:46Z","title_canon_sha256":"ddd76d2676c0d3fa73538dd45b71309bde8cb18321cff240437d83025dbe9fef"},"schema_version":"1.0","source":{"id":"1401.4410","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.4410","created_at":"2026-05-18T03:01:55Z"},{"alias_kind":"arxiv_version","alias_value":"1401.4410v1","created_at":"2026-05-18T03:01:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4410","created_at":"2026-05-18T03:01:55Z"},{"alias_kind":"pith_short_12","alias_value":"GZWN6DXRE5L3","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GZWN6DXRE5L3UZJK","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GZWN6DXR","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:aad47ba42cdddc3346dadf325d898da4321bfaf5fc1d6b390ce11c48abec67c2","target":"graph","created_at":"2026-05-18T03:01:55Z","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":"This paper contains first results on the finite-gap integration of the Sine-Gordon equation. They were published on Russian in 1976. The papers \\cite{Koz}, \\cite{KK}, \\cite{KK02} have been rewritten in the English language with small modifications for a convenience. Such a translation was made due to requests of some interested readers.\n  In those papers, the method of constructing of the finite-gap solutions of the equation $u_{tt}-u_{xx}+\\sin u=0$ was proposed. The explicit formulae were obtained for these solutions. The formulae are constructed in terms of $\\theta$-functions and they are an","authors_text":"V.P.Kotlarov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-01-17T17:37:46Z","title":"Finite-gap solutions of the Sine-Gordon equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4410","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":"sha256:5c8f890a1144f99562a1d6c6a00f13adc00f7691d3e30ca7fadeb22890e30414","target":"record","created_at":"2026-05-18T03:01:55Z","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":"6e6bc9450a479d6ddcbf3308543fe455c5dd99f9bfdce9d000012d186b519719","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-01-17T17:37:46Z","title_canon_sha256":"ddd76d2676c0d3fa73538dd45b71309bde8cb18321cff240437d83025dbe9fef"},"schema_version":"1.0","source":{"id":"1401.4410","kind":"arxiv","version":1}},"canonical_sha256":"366cdf0ef12757ba652a81e3e15a2d3d43315fa9df529ed8d4b6191f79391897","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"366cdf0ef12757ba652a81e3e15a2d3d43315fa9df529ed8d4b6191f79391897","first_computed_at":"2026-05-18T03:01:55.098669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:55.098669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WXo+qZ2Y/sENyksq2P6K+6j8De3qbJgiy1pi9upBY4lbvKZguSYTed/TCgWpgDD2/l1Ln3AgtPwjWLIXue2nAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:55.099293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.4410","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c8f890a1144f99562a1d6c6a00f13adc00f7691d3e30ca7fadeb22890e30414","sha256:aad47ba42cdddc3346dadf325d898da4321bfaf5fc1d6b390ce11c48abec67c2"],"state_sha256":"be1ac75cbe2278ee4525e280c490e0910b2d8299bcb9937c116c0b78948ddaf0"}