{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:D2NWHPYP2L74PIPHDMP5RA67JO","short_pith_number":"pith:D2NWHPYP","canonical_record":{"source":{"id":"1304.1607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-05T03:35:26Z","cross_cats_sorted":[],"title_canon_sha256":"21c5a850767432ec229f915dc05e9149a4f8c6c47e803192212d458eb3aea0b1","abstract_canon_sha256":"076a03855ddb4d76ad0cbebb473215e0e7980c6280a32b70bdef6eb760d5b012"},"schema_version":"1.0"},"canonical_sha256":"1e9b63bf0fd2ffc7a1e71b1fd883df4bada0de555788cf455cb0ee0e43766105","source":{"kind":"arxiv","id":"1304.1607","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1607","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1607v2","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1607","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"pith_short_12","alias_value":"D2NWHPYP2L74","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D2NWHPYP2L74PIPH","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D2NWHPYP","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:D2NWHPYP2L74PIPHDMP5RA67JO","target":"record","payload":{"canonical_record":{"source":{"id":"1304.1607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-05T03:35:26Z","cross_cats_sorted":[],"title_canon_sha256":"21c5a850767432ec229f915dc05e9149a4f8c6c47e803192212d458eb3aea0b1","abstract_canon_sha256":"076a03855ddb4d76ad0cbebb473215e0e7980c6280a32b70bdef6eb760d5b012"},"schema_version":"1.0"},"canonical_sha256":"1e9b63bf0fd2ffc7a1e71b1fd883df4bada0de555788cf455cb0ee0e43766105","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:53.741892Z","signature_b64":"ZsAJP7zFbUgZpRxmJ4LeUdSXW6cz87j/IUvznURgeEufyZVvLmeAg92o3oMZlxJb/z8bg4ihpgDDPWWanNQqAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e9b63bf0fd2ffc7a1e71b1fd883df4bada0de555788cf455cb0ee0e43766105","last_reissued_at":"2026-05-18T03:27:53.741332Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:53.741332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.1607","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:27:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3vdF6PvXLRAadsljuvuJ5K/AEtpfa8XwjIhx/8XJMVe8JTcytQi+CZJrbbYjHtYMZm0xbWWzjRr8i4RmOAIlAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:57:14.365045Z"},"content_sha256":"64f69efd1e2669c19e6ce84f8be432915135b50f84becc93d1da8f7964a58d04","schema_version":"1.0","event_id":"sha256:64f69efd1e2669c19e6ce84f8be432915135b50f84becc93d1da8f7964a58d04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:D2NWHPYP2L74PIPHDMP5RA67JO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On quasi-periodic solutions of the discrete Chen-Lee-Liu hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Xianguo Geng, Xin Zeng","submitted_at":"2013-04-05T03:35:26Z","abstract_excerpt":"Resorting to the Lax matrix and elliptic variables, the discrete Chen-Lee-Liu hierarchy is decomposed into solvable ordinary differential equations. Based on the theory of algebraic curve, the continuous flow and discrete flow related to the discrete Chen-Lee-Liu hierarchy are straightened under the Abel-Jacobi coordinates. The meromorphic function $\\phi$, the Baker-Akhiezer vector $\\bar\\psi $ and the hyperelliptic curve $\\mathcal{K}_N$ are introduced, by which quasi-periodic solutions of the discrete Chen-Lee-Liu hierarchy are constructed according to the asymptotic properties and the algebro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1607","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:27:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mZ7glbExQdqShGo4y/V2kxIqPDYCcubydYWFANyNm8w7UyHyGOlj9gDqka0+doYH++ruS7oJLB9RtN8MAqgEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:57:14.365462Z"},"content_sha256":"a9b50c7da7d6033a7c65741a4e1699cd6796a2de14c8b8c45631ad7f650308cf","schema_version":"1.0","event_id":"sha256:a9b50c7da7d6033a7c65741a4e1699cd6796a2de14c8b8c45631ad7f650308cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2NWHPYP2L74PIPHDMP5RA67JO/bundle.json","state_url":"https://pith.science/pith/D2NWHPYP2L74PIPHDMP5RA67JO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2NWHPYP2L74PIPHDMP5RA67JO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T06:57:14Z","links":{"resolver":"https://pith.science/pith/D2NWHPYP2L74PIPHDMP5RA67JO","bundle":"https://pith.science/pith/D2NWHPYP2L74PIPHDMP5RA67JO/bundle.json","state":"https://pith.science/pith/D2NWHPYP2L74PIPHDMP5RA67JO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2NWHPYP2L74PIPHDMP5RA67JO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:D2NWHPYP2L74PIPHDMP5RA67JO","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":"076a03855ddb4d76ad0cbebb473215e0e7980c6280a32b70bdef6eb760d5b012","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-05T03:35:26Z","title_canon_sha256":"21c5a850767432ec229f915dc05e9149a4f8c6c47e803192212d458eb3aea0b1"},"schema_version":"1.0","source":{"id":"1304.1607","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1607","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1607v2","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1607","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"pith_short_12","alias_value":"D2NWHPYP2L74","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D2NWHPYP2L74PIPH","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D2NWHPYP","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:a9b50c7da7d6033a7c65741a4e1699cd6796a2de14c8b8c45631ad7f650308cf","target":"graph","created_at":"2026-05-18T03:27:53Z","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":"Resorting to the Lax matrix and elliptic variables, the discrete Chen-Lee-Liu hierarchy is decomposed into solvable ordinary differential equations. Based on the theory of algebraic curve, the continuous flow and discrete flow related to the discrete Chen-Lee-Liu hierarchy are straightened under the Abel-Jacobi coordinates. The meromorphic function $\\phi$, the Baker-Akhiezer vector $\\bar\\psi $ and the hyperelliptic curve $\\mathcal{K}_N$ are introduced, by which quasi-periodic solutions of the discrete Chen-Lee-Liu hierarchy are constructed according to the asymptotic properties and the algebro","authors_text":"Xianguo Geng, Xin Zeng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-05T03:35:26Z","title":"On quasi-periodic solutions of the discrete Chen-Lee-Liu hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1607","kind":"arxiv","version":2},"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":"sha256:64f69efd1e2669c19e6ce84f8be432915135b50f84becc93d1da8f7964a58d04","target":"record","created_at":"2026-05-18T03:27:53Z","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":"076a03855ddb4d76ad0cbebb473215e0e7980c6280a32b70bdef6eb760d5b012","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-05T03:35:26Z","title_canon_sha256":"21c5a850767432ec229f915dc05e9149a4f8c6c47e803192212d458eb3aea0b1"},"schema_version":"1.0","source":{"id":"1304.1607","kind":"arxiv","version":2}},"canonical_sha256":"1e9b63bf0fd2ffc7a1e71b1fd883df4bada0de555788cf455cb0ee0e43766105","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e9b63bf0fd2ffc7a1e71b1fd883df4bada0de555788cf455cb0ee0e43766105","first_computed_at":"2026-05-18T03:27:53.741332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:53.741332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZsAJP7zFbUgZpRxmJ4LeUdSXW6cz87j/IUvznURgeEufyZVvLmeAg92o3oMZlxJb/z8bg4ihpgDDPWWanNQqAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:53.741892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1607","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64f69efd1e2669c19e6ce84f8be432915135b50f84becc93d1da8f7964a58d04","sha256:a9b50c7da7d6033a7c65741a4e1699cd6796a2de14c8b8c45631ad7f650308cf"],"state_sha256":"f071c3c95b34821a6236c89349f7de915d3d698c7e1768fe1994444cb6024beb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xTbJOi26Fd7zxj5XVb9aZ/deLTX+Vuy7J2uPGtLmfRUpnpXWRWIBb9K6JIDdWuTiajT0fq8xSQF3DDqtjdIaAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:57:14.367821Z","bundle_sha256":"7b19182bdf6a9c68d64256e6a27dfe27e0483e12fcad35a878b570d7ead5e2ea"}}