{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:VVGQNZFR7WINQK727AYGHRNCUL","short_pith_number":"pith:VVGQNZFR","canonical_record":{"source":{"id":"hep-th/0203226","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-03-24T15:50:26Z","cross_cats_sorted":[],"title_canon_sha256":"c62160e4a1ad7a44baa7c19751e6b3d477a1d00dac1e978262764166a6bc5e7f","abstract_canon_sha256":"9de22b5b349dc888deb56c03ad42886c9e0e7bd8d2e8bc25700ff47ffeb8f161"},"schema_version":"1.0"},"canonical_sha256":"ad4d06e4b1fd90d82bfaf83063c5a2a2fa0bb37870ac8f379f51f3fc250a3dc5","source":{"kind":"arxiv","id":"hep-th/0203226","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0203226","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0203226v2","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0203226","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"VVGQNZFR7WIN","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"VVGQNZFR7WINQK72","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"VVGQNZFR","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:VVGQNZFR7WINQK727AYGHRNCUL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0203226","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-03-24T15:50:26Z","cross_cats_sorted":[],"title_canon_sha256":"c62160e4a1ad7a44baa7c19751e6b3d477a1d00dac1e978262764166a6bc5e7f","abstract_canon_sha256":"9de22b5b349dc888deb56c03ad42886c9e0e7bd8d2e8bc25700ff47ffeb8f161"},"schema_version":"1.0"},"canonical_sha256":"ad4d06e4b1fd90d82bfaf83063c5a2a2fa0bb37870ac8f379f51f3fc250a3dc5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:49.736485Z","signature_b64":"jZ9ULDnmfCZAMLW4kbjap42M1PZXAO14vOzxFSxgUO668Ed+sdCpAg0YMCrGx61og0PA/41G3+ba2ZGZthvtBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad4d06e4b1fd90d82bfaf83063c5a2a2fa0bb37870ac8f379f51f3fc250a3dc5","last_reissued_at":"2026-05-18T01:38:49.735810Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:49.735810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0203226","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":"2026-05-18T01:38:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xICd4Vj5iKAn1HAjlV/tQ82JrhNLHe0PUxmhIzu4vEj9fVSLehDqyrDcA+LlorQw7XQ8TgbQiMCa8dZvYkqIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T14:54:20.188327Z"},"content_sha256":"3b707ece039e8a79379b7544fe8e7a4a4030938790b85189c45b701adc88ad2b","schema_version":"1.0","event_id":"sha256:3b707ece039e8a79379b7544fe8e7a4a4030938790b85189c45b701adc88ad2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:VVGQNZFR7WINQK727AYGHRNCUL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fine structure of the discrete transformation for multicomponent integrable systems","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.N. Leznov, J. Escobedo-Alatorre, R.Torres-Cordoba","submitted_at":"2002-03-24T15:50:26Z","abstract_excerpt":"It is shown that in the case of multicomponent integrable systems connected with algebras $A_n$, the discrete transformation $T$ possesses the fine structure and can be represented in the form $T=\\prod T_i^{l_i}$, where $T_i$ are n commuting basis discrete transformations, and $l_i$ are arbitrary natural numbers. All the calculations are conducted in detail for the case of a 3-wave interacting system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0203226","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":"2026-05-18T01:38:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5/smCIg17WX2xuusPhJa5V5y+LTr8e/9BxtrfLfJOILj6DGXmoPnnBDtEGi17SjBj2ToCo9sHvAjTlbmXaYoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T14:54:20.188668Z"},"content_sha256":"c977c7a4f1315d504253dc9bd0938bd205ac0dba2b9eaf83806fb685145d7c42","schema_version":"1.0","event_id":"sha256:c977c7a4f1315d504253dc9bd0938bd205ac0dba2b9eaf83806fb685145d7c42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VVGQNZFR7WINQK727AYGHRNCUL/bundle.json","state_url":"https://pith.science/pith/VVGQNZFR7WINQK727AYGHRNCUL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VVGQNZFR7WINQK727AYGHRNCUL/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":"2026-06-26T14:54:20Z","links":{"resolver":"https://pith.science/pith/VVGQNZFR7WINQK727AYGHRNCUL","bundle":"https://pith.science/pith/VVGQNZFR7WINQK727AYGHRNCUL/bundle.json","state":"https://pith.science/pith/VVGQNZFR7WINQK727AYGHRNCUL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VVGQNZFR7WINQK727AYGHRNCUL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:VVGQNZFR7WINQK727AYGHRNCUL","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":"9de22b5b349dc888deb56c03ad42886c9e0e7bd8d2e8bc25700ff47ffeb8f161","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-03-24T15:50:26Z","title_canon_sha256":"c62160e4a1ad7a44baa7c19751e6b3d477a1d00dac1e978262764166a6bc5e7f"},"schema_version":"1.0","source":{"id":"hep-th/0203226","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0203226","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0203226v2","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0203226","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"VVGQNZFR7WIN","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"VVGQNZFR7WINQK72","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"VVGQNZFR","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:c977c7a4f1315d504253dc9bd0938bd205ac0dba2b9eaf83806fb685145d7c42","target":"graph","created_at":"2026-05-18T01:38:49Z","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":"It is shown that in the case of multicomponent integrable systems connected with algebras $A_n$, the discrete transformation $T$ possesses the fine structure and can be represented in the form $T=\\prod T_i^{l_i}$, where $T_i$ are n commuting basis discrete transformations, and $l_i$ are arbitrary natural numbers. All the calculations are conducted in detail for the case of a 3-wave interacting system.","authors_text":"A.N. Leznov, J. Escobedo-Alatorre, R.Torres-Cordoba","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-03-24T15:50:26Z","title":"Fine structure of the discrete transformation for multicomponent integrable systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0203226","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":"sha256:3b707ece039e8a79379b7544fe8e7a4a4030938790b85189c45b701adc88ad2b","target":"record","created_at":"2026-05-18T01:38:49Z","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":"9de22b5b349dc888deb56c03ad42886c9e0e7bd8d2e8bc25700ff47ffeb8f161","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-03-24T15:50:26Z","title_canon_sha256":"c62160e4a1ad7a44baa7c19751e6b3d477a1d00dac1e978262764166a6bc5e7f"},"schema_version":"1.0","source":{"id":"hep-th/0203226","kind":"arxiv","version":2}},"canonical_sha256":"ad4d06e4b1fd90d82bfaf83063c5a2a2fa0bb37870ac8f379f51f3fc250a3dc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad4d06e4b1fd90d82bfaf83063c5a2a2fa0bb37870ac8f379f51f3fc250a3dc5","first_computed_at":"2026-05-18T01:38:49.735810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:49.735810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jZ9ULDnmfCZAMLW4kbjap42M1PZXAO14vOzxFSxgUO668Ed+sdCpAg0YMCrGx61og0PA/41G3+ba2ZGZthvtBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:49.736485Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0203226","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b707ece039e8a79379b7544fe8e7a4a4030938790b85189c45b701adc88ad2b","sha256:c977c7a4f1315d504253dc9bd0938bd205ac0dba2b9eaf83806fb685145d7c42"],"state_sha256":"53a419e3a415f02be3f2f5c0b318c55a91670368f8159df15f976683eeefbb62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/9r/nLee8vdjbCDRdm1EeZEOmewJDkREPNsHZ6+FUkj1YWn1YQEdW66BL4XjlaxSKC0AhE9z0t+F0bLGhOtcCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T14:54:20.190610Z","bundle_sha256":"2c9f3efde05dde655d89d33a263b871c080a2a89b8d093e0bab573971248167f"}}