{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:SPEALVMBLJVUGHU4KFEOGXLELC","short_pith_number":"pith:SPEALVMB","schema_version":"1.0","canonical_sha256":"93c805d5815a6b431e9c5148e35d645892277ce3121f600d9797181d123fa0a5","source":{"kind":"arxiv","id":"solv-int/9808001","version":1},"attestation_state":"computed","paper":{"title":"$A_n^{(1)}$ Toda Solitons: a Relation between Dressing transformations and Vertex Operators","license":"","headline":"","cross_cats":["hep-th","nlin.SI"],"primary_cat":"solv-int","authors_text":"H. Belich, R. Paunov","submitted_at":"1998-08-03T21:52:56Z","abstract_excerpt":"Affine Toda equations based on simple Lie algebras arise by imposing zero curvature condition on a Lax connection which belongs to the corresponding loop Lie algebra in the principal gradation. In the particular case of $A_n^{(1)}$\n Toda models, we exploit the symmetry of the underlying linear problem to calculate the dressing group element which generates arbitrary $N$-soliton solution from the vacuum. Starting from this result we recover the vertex operator representation of the soliton tau functions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"solv-int/9808001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"solv-int","submitted_at":"1998-08-03T21:52:56Z","cross_cats_sorted":["hep-th","nlin.SI"],"title_canon_sha256":"5eaef52710697cc83822be27cb577d878c7f651270ab9f161aeb33b4f5c53fbe","abstract_canon_sha256":"0ba8a85ffaa40a9e4d41c531229746bb0837f372a73ee2caf4f582fb6aed156e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:59.917122Z","signature_b64":"gDz7/kqJiBjSWztpSJa+XzGL1LCPQPE06BEYL/d3jK+4k8vngObqqKUBbjux3l6NBmdfXXAKWx4DaWl3un5oDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93c805d5815a6b431e9c5148e35d645892277ce3121f600d9797181d123fa0a5","last_reissued_at":"2026-05-18T01:04:59.916563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:59.916563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$A_n^{(1)}$ Toda Solitons: a Relation between Dressing transformations and Vertex Operators","license":"","headline":"","cross_cats":["hep-th","nlin.SI"],"primary_cat":"solv-int","authors_text":"H. Belich, R. Paunov","submitted_at":"1998-08-03T21:52:56Z","abstract_excerpt":"Affine Toda equations based on simple Lie algebras arise by imposing zero curvature condition on a Lax connection which belongs to the corresponding loop Lie algebra in the principal gradation. In the particular case of $A_n^{(1)}$\n Toda models, we exploit the symmetry of the underlying linear problem to calculate the dressing group element which generates arbitrary $N$-soliton solution from the vacuum. Starting from this result we recover the vertex operator representation of the soliton tau functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9808001","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9808001","created_at":"2026-05-18T01:04:59.916664+00:00"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9808001v1","created_at":"2026-05-18T01:04:59.916664+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9808001","created_at":"2026-05-18T01:04:59.916664+00:00"},{"alias_kind":"pith_short_12","alias_value":"SPEALVMBLJVU","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"SPEALVMBLJVUGHU4","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"SPEALVMB","created_at":"2026-05-18T12:25:49.038998+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SPEALVMBLJVUGHU4KFEOGXLELC","json":"https://pith.science/pith/SPEALVMBLJVUGHU4KFEOGXLELC.json","graph_json":"https://pith.science/api/pith-number/SPEALVMBLJVUGHU4KFEOGXLELC/graph.json","events_json":"https://pith.science/api/pith-number/SPEALVMBLJVUGHU4KFEOGXLELC/events.json","paper":"https://pith.science/paper/SPEALVMB"},"agent_actions":{"view_html":"https://pith.science/pith/SPEALVMBLJVUGHU4KFEOGXLELC","download_json":"https://pith.science/pith/SPEALVMBLJVUGHU4KFEOGXLELC.json","view_paper":"https://pith.science/paper/SPEALVMB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=solv-int/9808001&json=true","fetch_graph":"https://pith.science/api/pith-number/SPEALVMBLJVUGHU4KFEOGXLELC/graph.json","fetch_events":"https://pith.science/api/pith-number/SPEALVMBLJVUGHU4KFEOGXLELC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SPEALVMBLJVUGHU4KFEOGXLELC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SPEALVMBLJVUGHU4KFEOGXLELC/action/storage_attestation","attest_author":"https://pith.science/pith/SPEALVMBLJVUGHU4KFEOGXLELC/action/author_attestation","sign_citation":"https://pith.science/pith/SPEALVMBLJVUGHU4KFEOGXLELC/action/citation_signature","submit_replication":"https://pith.science/pith/SPEALVMBLJVUGHU4KFEOGXLELC/action/replication_record"}},"created_at":"2026-05-18T01:04:59.916664+00:00","updated_at":"2026-05-18T01:04:59.916664+00:00"}