{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:RUEDVEJMCC4GLAAKEB4JPWX4UQ","short_pith_number":"pith:RUEDVEJM","canonical_record":{"source":{"id":"nlin/0608007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2006-08-04T06:49:29Z","cross_cats_sorted":[],"title_canon_sha256":"9ca936c01674b0c232d1d94e60aa7db05f2007c5491fce5d66edee8ebfaae037","abstract_canon_sha256":"008dd14b0249950ec4f196068349f2622b206f21eecba094fac82cefcc4d167f"},"schema_version":"1.0"},"canonical_sha256":"8d083a912c10b865800a207897dafca42e81e4ecf30a25539ef54ae545625f2b","source":{"kind":"arxiv","id":"nlin/0608007","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0608007","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0608007v1","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0608007","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"RUEDVEJMCC4G","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"RUEDVEJMCC4GLAAK","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"RUEDVEJM","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:RUEDVEJMCC4GLAAKEB4JPWX4UQ","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0608007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2006-08-04T06:49:29Z","cross_cats_sorted":[],"title_canon_sha256":"9ca936c01674b0c232d1d94e60aa7db05f2007c5491fce5d66edee8ebfaae037","abstract_canon_sha256":"008dd14b0249950ec4f196068349f2622b206f21eecba094fac82cefcc4d167f"},"schema_version":"1.0"},"canonical_sha256":"8d083a912c10b865800a207897dafca42e81e4ecf30a25539ef54ae545625f2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:17.963518Z","signature_b64":"IzXbbW53NIzBjfJoewUaHAwj5vM0AGr8XGff8rjAnxOl6HzrftNnXNDyLjeFEJTw/7FRAoB4N96iKN0xZii8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d083a912c10b865800a207897dafca42e81e4ecf30a25539ef54ae545625f2b","last_reissued_at":"2026-05-18T01:38:17.962853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:17.962853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0608007","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZzZ0B0IearsFJhNRP5rRTqwGqTRtDrbuwIYW2SNhevMU+LzC5LrTwiivJQRvBUvPzcZtN45snxBrdDzFm6q3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:49:38.233932Z"},"content_sha256":"03df95c5ff251f733c42de3a80d4206c8c43c87f1ac524a6fda12c3235ffb687","schema_version":"1.0","event_id":"sha256:03df95c5ff251f733c42de3a80d4206c8c43c87f1ac524a6fda12c3235ffb687"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:RUEDVEJMCC4GLAAKEB4JPWX4UQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On application of Liouville type equations to constructing B\\\"acklund transformations","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Dmitry K. Demskoi","submitted_at":"2006-08-04T06:49:29Z","abstract_excerpt":"It is shown how pseudoconstants of the Liouville-type equations can be exploited as a tool for construction of the B\\\"acklund transformations. Several new examples of such transformations are found. In particular we obtained the B\\\"acklund transformations for a pair of three-component analogs of the dispersive water wave system, and auto-B\\\"acklund transformations for coupled three-component KdV-type systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0608007","kind":"arxiv","version":1},"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":"2026-05-18T01:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lZegGfghbZr8gdmlJm7UwZPcDrbzokjmOuk7FOwYUh+iMFNpgW8Alt2mWjYgL7PzrJgmXDRYVkX7vuXLAoN4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:49:38.234288Z"},"content_sha256":"fdca808869042fa3e557e94eb337882709c3699862e85f93a30f47767eee5f83","schema_version":"1.0","event_id":"sha256:fdca808869042fa3e557e94eb337882709c3699862e85f93a30f47767eee5f83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RUEDVEJMCC4GLAAKEB4JPWX4UQ/bundle.json","state_url":"https://pith.science/pith/RUEDVEJMCC4GLAAKEB4JPWX4UQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RUEDVEJMCC4GLAAKEB4JPWX4UQ/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":"2026-06-24T07:49:38Z","links":{"resolver":"https://pith.science/pith/RUEDVEJMCC4GLAAKEB4JPWX4UQ","bundle":"https://pith.science/pith/RUEDVEJMCC4GLAAKEB4JPWX4UQ/bundle.json","state":"https://pith.science/pith/RUEDVEJMCC4GLAAKEB4JPWX4UQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RUEDVEJMCC4GLAAKEB4JPWX4UQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:RUEDVEJMCC4GLAAKEB4JPWX4UQ","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":"008dd14b0249950ec4f196068349f2622b206f21eecba094fac82cefcc4d167f","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2006-08-04T06:49:29Z","title_canon_sha256":"9ca936c01674b0c232d1d94e60aa7db05f2007c5491fce5d66edee8ebfaae037"},"schema_version":"1.0","source":{"id":"nlin/0608007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0608007","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0608007v1","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0608007","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"RUEDVEJMCC4G","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"RUEDVEJMCC4GLAAK","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"RUEDVEJM","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:fdca808869042fa3e557e94eb337882709c3699862e85f93a30f47767eee5f83","target":"graph","created_at":"2026-05-18T01:38:17Z","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":"It is shown how pseudoconstants of the Liouville-type equations can be exploited as a tool for construction of the B\\\"acklund transformations. Several new examples of such transformations are found. In particular we obtained the B\\\"acklund transformations for a pair of three-component analogs of the dispersive water wave system, and auto-B\\\"acklund transformations for coupled three-component KdV-type systems.","authors_text":"Dmitry K. Demskoi","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2006-08-04T06:49:29Z","title":"On application of Liouville type equations to constructing B\\\"acklund transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0608007","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":"sha256:03df95c5ff251f733c42de3a80d4206c8c43c87f1ac524a6fda12c3235ffb687","target":"record","created_at":"2026-05-18T01:38:17Z","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":"008dd14b0249950ec4f196068349f2622b206f21eecba094fac82cefcc4d167f","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2006-08-04T06:49:29Z","title_canon_sha256":"9ca936c01674b0c232d1d94e60aa7db05f2007c5491fce5d66edee8ebfaae037"},"schema_version":"1.0","source":{"id":"nlin/0608007","kind":"arxiv","version":1}},"canonical_sha256":"8d083a912c10b865800a207897dafca42e81e4ecf30a25539ef54ae545625f2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d083a912c10b865800a207897dafca42e81e4ecf30a25539ef54ae545625f2b","first_computed_at":"2026-05-18T01:38:17.962853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:17.962853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IzXbbW53NIzBjfJoewUaHAwj5vM0AGr8XGff8rjAnxOl6HzrftNnXNDyLjeFEJTw/7FRAoB4N96iKN0xZii8DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:17.963518Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0608007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03df95c5ff251f733c42de3a80d4206c8c43c87f1ac524a6fda12c3235ffb687","sha256:fdca808869042fa3e557e94eb337882709c3699862e85f93a30f47767eee5f83"],"state_sha256":"3551c8f41791b9813d16f6b424257ff1d1d09c9685e8e2fb4c3046802bbaa9c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ORbxi8qMgG4zSQvAIDmko9f2HbWCPLgLCR+oEjE1Oy39ktD0NHxfZyFxEVKXmlid03FrLG8A3wjTNlbC4nKdBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T07:49:38.236273Z","bundle_sha256":"24672af6e4a70a2c1f5e229956e3ba10ff5cd66f83f5ec3e003360dd6eb9a21a"}}