{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CUTTU2KPTEUC6Q5XDDWB2XUUHZ","short_pith_number":"pith:CUTTU2KP","canonical_record":{"source":{"id":"1611.03208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T07:47:18Z","cross_cats_sorted":["cond-mat.supr-con","nlin.SI"],"title_canon_sha256":"b90018d81684fe4c5b06299b2822572d8769097ff8597be432ebb22ff52841c0","abstract_canon_sha256":"3111128cba97289399edf683a3d3542924297c1bc996462d56b68ee79dea37cf"},"schema_version":"1.0"},"canonical_sha256":"15273a694f99282f43b718ec1d5e943e4a5db45f6e5ff59e441c9fc51ebb0484","source":{"kind":"arxiv","id":"1611.03208","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03208","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03208v2","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03208","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"pith_short_12","alias_value":"CUTTU2KPTEUC","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CUTTU2KPTEUC6Q5X","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CUTTU2KP","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CUTTU2KPTEUC6Q5XDDWB2XUUHZ","target":"record","payload":{"canonical_record":{"source":{"id":"1611.03208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T07:47:18Z","cross_cats_sorted":["cond-mat.supr-con","nlin.SI"],"title_canon_sha256":"b90018d81684fe4c5b06299b2822572d8769097ff8597be432ebb22ff52841c0","abstract_canon_sha256":"3111128cba97289399edf683a3d3542924297c1bc996462d56b68ee79dea37cf"},"schema_version":"1.0"},"canonical_sha256":"15273a694f99282f43b718ec1d5e943e4a5db45f6e5ff59e441c9fc51ebb0484","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:59.273564Z","signature_b64":"8mTSh2c6XlhWWs6PW2mpHRLvqz8hgRnIrOA2xR7C3Zvc39FOX72rRHOSB32vFbSKige+B7YFYHdN0ekqYKFdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15273a694f99282f43b718ec1d5e943e4a5db45f6e5ff59e441c9fc51ebb0484","last_reissued_at":"2026-05-18T00:43:59.272845Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:59.272845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.03208","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":"2026-05-18T00:43:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2XS0M/7fK4U6W3xswQimH2eQ8nZmyTaeJ+JUJksBtVDgE41plprvuE4zPLPFKMR+LVBFDHLgEm0Rm2+IU3EjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:33:44.950520Z"},"content_sha256":"b6743d9812710cbf54a7d4c35d7386966d242d2f010a71755ba8db9b231c26c6","schema_version":"1.0","event_id":"sha256:b6743d9812710cbf54a7d4c35d7386966d242d2f010a71755ba8db9b231c26c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CUTTU2KPTEUC6Q5XDDWB2XUUHZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SU(N) affine Toda solitons and breathers from transparent Dirac potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","nlin.SI"],"primary_cat":"hep-th","authors_text":"Michael Thies","submitted_at":"2016-11-10T07:47:18Z","abstract_excerpt":"Transparent scalar and pseudoscalar potentials in the one-dimensional Dirac equation play an important role as self-consistent mean fields in 1+1 dimensional four-fermion theories (Gross-Neveu, Nambu-Jona Lasinio models) and quasi-one dimensional superconductors (Bogoliubov-De Gennes equation). Here, we show that they also serve as seed to generate a large class of classical multi-soliton and multi-breather solutions of su(N) affine Toda field theories, including the Lax representation and the corresponding vector. This generalizes previous findings about the relationship between real kinks in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03208","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":"2026-05-18T00:43:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V3z5og8dy7S8vy2mMQ+GUzyfMogQUmjfLSbT7ozTczKdJcgM6lEC/p4EU8gOe11VQgwF9qj9zzvllE3Bp77IDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:33:44.950869Z"},"content_sha256":"2a0181942f314a63377ace7e655b191d3ad5a79f44384ad5db7e182aefc45258","schema_version":"1.0","event_id":"sha256:2a0181942f314a63377ace7e655b191d3ad5a79f44384ad5db7e182aefc45258"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CUTTU2KPTEUC6Q5XDDWB2XUUHZ/bundle.json","state_url":"https://pith.science/pith/CUTTU2KPTEUC6Q5XDDWB2XUUHZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CUTTU2KPTEUC6Q5XDDWB2XUUHZ/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":"2026-05-31T07:33:44Z","links":{"resolver":"https://pith.science/pith/CUTTU2KPTEUC6Q5XDDWB2XUUHZ","bundle":"https://pith.science/pith/CUTTU2KPTEUC6Q5XDDWB2XUUHZ/bundle.json","state":"https://pith.science/pith/CUTTU2KPTEUC6Q5XDDWB2XUUHZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CUTTU2KPTEUC6Q5XDDWB2XUUHZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CUTTU2KPTEUC6Q5XDDWB2XUUHZ","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":"3111128cba97289399edf683a3d3542924297c1bc996462d56b68ee79dea37cf","cross_cats_sorted":["cond-mat.supr-con","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T07:47:18Z","title_canon_sha256":"b90018d81684fe4c5b06299b2822572d8769097ff8597be432ebb22ff52841c0"},"schema_version":"1.0","source":{"id":"1611.03208","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03208","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03208v2","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03208","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"pith_short_12","alias_value":"CUTTU2KPTEUC","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CUTTU2KPTEUC6Q5X","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CUTTU2KP","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:2a0181942f314a63377ace7e655b191d3ad5a79f44384ad5db7e182aefc45258","target":"graph","created_at":"2026-05-18T00:43:59Z","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":"Transparent scalar and pseudoscalar potentials in the one-dimensional Dirac equation play an important role as self-consistent mean fields in 1+1 dimensional four-fermion theories (Gross-Neveu, Nambu-Jona Lasinio models) and quasi-one dimensional superconductors (Bogoliubov-De Gennes equation). Here, we show that they also serve as seed to generate a large class of classical multi-soliton and multi-breather solutions of su(N) affine Toda field theories, including the Lax representation and the corresponding vector. This generalizes previous findings about the relationship between real kinks in","authors_text":"Michael Thies","cross_cats":["cond-mat.supr-con","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T07:47:18Z","title":"SU(N) affine Toda solitons and breathers from transparent Dirac potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03208","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:b6743d9812710cbf54a7d4c35d7386966d242d2f010a71755ba8db9b231c26c6","target":"record","created_at":"2026-05-18T00:43:59Z","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":"3111128cba97289399edf683a3d3542924297c1bc996462d56b68ee79dea37cf","cross_cats_sorted":["cond-mat.supr-con","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T07:47:18Z","title_canon_sha256":"b90018d81684fe4c5b06299b2822572d8769097ff8597be432ebb22ff52841c0"},"schema_version":"1.0","source":{"id":"1611.03208","kind":"arxiv","version":2}},"canonical_sha256":"15273a694f99282f43b718ec1d5e943e4a5db45f6e5ff59e441c9fc51ebb0484","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15273a694f99282f43b718ec1d5e943e4a5db45f6e5ff59e441c9fc51ebb0484","first_computed_at":"2026-05-18T00:43:59.272845Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:59.272845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8mTSh2c6XlhWWs6PW2mpHRLvqz8hgRnIrOA2xR7C3Zvc39FOX72rRHOSB32vFbSKige+B7YFYHdN0ekqYKFdAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:59.273564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03208","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6743d9812710cbf54a7d4c35d7386966d242d2f010a71755ba8db9b231c26c6","sha256:2a0181942f314a63377ace7e655b191d3ad5a79f44384ad5db7e182aefc45258"],"state_sha256":"c767fb4a2422c2d85c81ae9ed3d7fbeb1b32327bb125a3cb2514ecee92d01d2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oJtbzw04ZKMEbnb9jVQJHjAJywRluxH0vnZbYQAN3QOf7PPazzJr318vDN8RwsrTCMbZdlFwUbLDIkbG6VyTBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:33:44.953075Z","bundle_sha256":"40b9769da7a417fed367fe682bffd980a8744e6650b8d5043111ed0c996ff30a"}}