{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:BHXKPCRSHBG7LFNMNEM2U7WWQ3","short_pith_number":"pith:BHXKPCRS","canonical_record":{"source":{"id":"1208.3752","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-18T15:20:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"95e2f506d312da1840f0c09cb525116ebf16705091192b8efd803ecf311c498f","abstract_canon_sha256":"80bec2c023a4db7ac858be3d23f582598db4b5658678304a5f79d924792f5997"},"schema_version":"1.0"},"canonical_sha256":"09eea78a32384df595ac6919aa7ed686d852a113bd1c499237351d67a2374a69","source":{"kind":"arxiv","id":"1208.3752","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3752","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3752v2","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3752","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"BHXKPCRSHBG7","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BHXKPCRSHBG7LFNM","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BHXKPCRS","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:BHXKPCRSHBG7LFNMNEM2U7WWQ3","target":"record","payload":{"canonical_record":{"source":{"id":"1208.3752","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-18T15:20:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"95e2f506d312da1840f0c09cb525116ebf16705091192b8efd803ecf311c498f","abstract_canon_sha256":"80bec2c023a4db7ac858be3d23f582598db4b5658678304a5f79d924792f5997"},"schema_version":"1.0"},"canonical_sha256":"09eea78a32384df595ac6919aa7ed686d852a113bd1c499237351d67a2374a69","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:35.594420Z","signature_b64":"SnwB2QCTrBzl1zelPMnt4l5XQX061BSioFNLLSWsanQVzxK86wu2NVOVOzuOjvbiqe9hMzHLIGYBMeNAEYDsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09eea78a32384df595ac6919aa7ed686d852a113bd1c499237351d67a2374a69","last_reissued_at":"2026-05-18T03:44:35.593804Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:35.593804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.3752","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":"2026-05-18T03:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8/VH3fT7PdfK3a18/2za2Oe/qFYoTE0E948KD00UrO5qe1hBmN0Wv4I6kuwplqAXX/rg4sZTZGmT2MZuXfaSAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:46:56.366616Z"},"content_sha256":"4888eba36383161cd59b0d326b45fdbdcabbdcbc121ff167daedff5844f8cd11","schema_version":"1.0","event_id":"sha256:4888eba36383161cd59b0d326b45fdbdcabbdcbc121ff167daedff5844f8cd11"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:BHXKPCRSHBG7LFNMNEM2U7WWQ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solutions to the ABS lattice equations via generalized Cauchy matrix approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Da-jun Zhang, Song-lin Zhao","submitted_at":"2012-08-18T15:20:08Z","abstract_excerpt":"The usual Cauchy matrix approach starts from a known plain wave factor vector $r$ and known dressed Cauchy matrix $M$. In this paper we start from a matrix equation set with undetermined $r$ and $M$. From the starting equation set we can build shift relations for some defined scalar functions and then derive lattice equations. The starting matrix equation set admits more choices for $r$ and $M$ and in the paper we give explicit formulae for all possible $r$ and $M$. As applications, we get more solutions than usual multi-soliton solutions for many lattice equations including the lattice potent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3752","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":"2026-05-18T03:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uawPb1iXiP8aaEIy//7zuBnVLnIYaFBa5ZrhYPoSNctsa60FEK/B4mY/SCQDSPg25D/0E0gzu1Q9oxSLES12Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:46:56.367263Z"},"content_sha256":"2ba356fb77ab937c9e8a3275014e20b5324d5efa00ba8b80af114858e88883f7","schema_version":"1.0","event_id":"sha256:2ba356fb77ab937c9e8a3275014e20b5324d5efa00ba8b80af114858e88883f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BHXKPCRSHBG7LFNMNEM2U7WWQ3/bundle.json","state_url":"https://pith.science/pith/BHXKPCRSHBG7LFNMNEM2U7WWQ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BHXKPCRSHBG7LFNMNEM2U7WWQ3/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":"2026-05-28T11:46:56Z","links":{"resolver":"https://pith.science/pith/BHXKPCRSHBG7LFNMNEM2U7WWQ3","bundle":"https://pith.science/pith/BHXKPCRSHBG7LFNMNEM2U7WWQ3/bundle.json","state":"https://pith.science/pith/BHXKPCRSHBG7LFNMNEM2U7WWQ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BHXKPCRSHBG7LFNMNEM2U7WWQ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BHXKPCRSHBG7LFNMNEM2U7WWQ3","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":"80bec2c023a4db7ac858be3d23f582598db4b5658678304a5f79d924792f5997","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-18T15:20:08Z","title_canon_sha256":"95e2f506d312da1840f0c09cb525116ebf16705091192b8efd803ecf311c498f"},"schema_version":"1.0","source":{"id":"1208.3752","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3752","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3752v2","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3752","created_at":"2026-05-18T03:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"BHXKPCRSHBG7","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BHXKPCRSHBG7LFNM","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BHXKPCRS","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:2ba356fb77ab937c9e8a3275014e20b5324d5efa00ba8b80af114858e88883f7","target":"graph","created_at":"2026-05-18T03:44:35Z","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 usual Cauchy matrix approach starts from a known plain wave factor vector $r$ and known dressed Cauchy matrix $M$. In this paper we start from a matrix equation set with undetermined $r$ and $M$. From the starting equation set we can build shift relations for some defined scalar functions and then derive lattice equations. The starting matrix equation set admits more choices for $r$ and $M$ and in the paper we give explicit formulae for all possible $r$ and $M$. As applications, we get more solutions than usual multi-soliton solutions for many lattice equations including the lattice potent","authors_text":"Da-jun Zhang, Song-lin Zhao","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-18T15:20:08Z","title":"Solutions to the ABS lattice equations via generalized Cauchy matrix approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3752","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":"sha256:4888eba36383161cd59b0d326b45fdbdcabbdcbc121ff167daedff5844f8cd11","target":"record","created_at":"2026-05-18T03:44:35Z","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":"80bec2c023a4db7ac858be3d23f582598db4b5658678304a5f79d924792f5997","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-08-18T15:20:08Z","title_canon_sha256":"95e2f506d312da1840f0c09cb525116ebf16705091192b8efd803ecf311c498f"},"schema_version":"1.0","source":{"id":"1208.3752","kind":"arxiv","version":2}},"canonical_sha256":"09eea78a32384df595ac6919aa7ed686d852a113bd1c499237351d67a2374a69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09eea78a32384df595ac6919aa7ed686d852a113bd1c499237351d67a2374a69","first_computed_at":"2026-05-18T03:44:35.593804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:35.593804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SnwB2QCTrBzl1zelPMnt4l5XQX061BSioFNLLSWsanQVzxK86wu2NVOVOzuOjvbiqe9hMzHLIGYBMeNAEYDsDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:35.594420Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3752","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4888eba36383161cd59b0d326b45fdbdcabbdcbc121ff167daedff5844f8cd11","sha256:2ba356fb77ab937c9e8a3275014e20b5324d5efa00ba8b80af114858e88883f7"],"state_sha256":"91ce44181bd9fa2ff0b2c598b2dda62451293a4adc3ff4456e5fb3805c565280"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kTxvI03ndGH1WZLCudoVaXe93Roars/UWzq2tWQyDbCoGchkGPp4e8nDEj3i5ItECd+KaVhIPLSw+HNI5PTVDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:46:56.370250Z","bundle_sha256":"3a08ef97f3b345330a0e5edf7beb961fe58d9aa87e2bc6aa6c165b897cc516d6"}}