{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:PLBYLCCGNXSZKWC7RNOL4CQT7N","short_pith_number":"pith:PLBYLCCG","canonical_record":{"source":{"id":"0904.2768","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:26:12Z","cross_cats_sorted":["cond-mat.supr-con","hep-ph","math-ph","math.MP","quant-ph"],"title_canon_sha256":"5d3a478b149d5c94f5948d8ca9cd583d3dc8cca8eea859327d0cd6f63628cc7c","abstract_canon_sha256":"25a5c6e51eefd01711fc11ede571f57918da911edd6156301efc9eb09b8b56aa"},"schema_version":"1.0"},"canonical_sha256":"7ac38588466de595585f8b5cbe0a13fb4a6a69937cc66a6fc19179b6f1075229","source":{"kind":"arxiv","id":"0904.2768","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.2768","created_at":"2026-05-18T04:36:40Z"},{"alias_kind":"arxiv_version","alias_value":"0904.2768v2","created_at":"2026-05-18T04:36:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2768","created_at":"2026-05-18T04:36:40Z"},{"alias_kind":"pith_short_12","alias_value":"PLBYLCCGNXSZ","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PLBYLCCGNXSZKWC7","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PLBYLCCG","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:PLBYLCCGNXSZKWC7RNOL4CQT7N","target":"record","payload":{"canonical_record":{"source":{"id":"0904.2768","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:26:12Z","cross_cats_sorted":["cond-mat.supr-con","hep-ph","math-ph","math.MP","quant-ph"],"title_canon_sha256":"5d3a478b149d5c94f5948d8ca9cd583d3dc8cca8eea859327d0cd6f63628cc7c","abstract_canon_sha256":"25a5c6e51eefd01711fc11ede571f57918da911edd6156301efc9eb09b8b56aa"},"schema_version":"1.0"},"canonical_sha256":"7ac38588466de595585f8b5cbe0a13fb4a6a69937cc66a6fc19179b6f1075229","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:40.637613Z","signature_b64":"v9tW3pUE2OODGumtwDJxRcjoJI8oUurTgb0CJt0X+YNeGdZo1jJFwR7JOfyBhfDhrOirhSGGpXEIeqNHxiFmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ac38588466de595585f8b5cbe0a13fb4a6a69937cc66a6fc19179b6f1075229","last_reissued_at":"2026-05-18T04:36:40.637205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:40.637205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.2768","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":"2026-05-18T04:36:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rVL+PIjos5UepYRJwcKQp9gSlfbva4zMfmN8OFdEUTxX9TMb22HT+Ka5Rek49Yky7DznDnPcq2jP64aHFfgxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T21:17:02.735297Z"},"content_sha256":"1fb158f078247b9bc1add771cfaef4b3b011bd8bb472469c7564056743617f58","schema_version":"1.0","event_id":"sha256:1fb158f078247b9bc1add771cfaef4b3b011bd8bb472469c7564056743617f58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:PLBYLCCGNXSZKWC7RNOL4CQT7N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","hep-ph","math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Francisco Correa, Gerald V. Dunne, Mikhail S. Plyushchay","submitted_at":"2009-04-17T19:26:12Z","abstract_excerpt":"We show that the Ginzburg-Landau expansion of the grand potential for the Bogoliubov-de Gennes Hamiltonian is determined by the integrable nonlinear equations of the AKNS hierarchy, and that this provides the natural mathematical framework for a hidden nonlinear quantum mechanical supersymmetry underlying the dynamics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2768","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":"2026-05-18T04:36:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FEjkdIUwzDPiWDlMbCfSMfnsRaEU/72F7rEtCFWWclQJijprHgibzHvuwzuhcGmRZ0sRahwL5TP+kQtZSXJsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T21:17:02.735657Z"},"content_sha256":"6452faed245df0c5c7c34f09bc8fe2906a9ac1849084ce7fec9379cfb710a491","schema_version":"1.0","event_id":"sha256:6452faed245df0c5c7c34f09bc8fe2906a9ac1849084ce7fec9379cfb710a491"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PLBYLCCGNXSZKWC7RNOL4CQT7N/bundle.json","state_url":"https://pith.science/pith/PLBYLCCGNXSZKWC7RNOL4CQT7N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PLBYLCCGNXSZKWC7RNOL4CQT7N/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":"2026-05-30T21:17:02Z","links":{"resolver":"https://pith.science/pith/PLBYLCCGNXSZKWC7RNOL4CQT7N","bundle":"https://pith.science/pith/PLBYLCCGNXSZKWC7RNOL4CQT7N/bundle.json","state":"https://pith.science/pith/PLBYLCCGNXSZKWC7RNOL4CQT7N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PLBYLCCGNXSZKWC7RNOL4CQT7N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:PLBYLCCGNXSZKWC7RNOL4CQT7N","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":"25a5c6e51eefd01711fc11ede571f57918da911edd6156301efc9eb09b8b56aa","cross_cats_sorted":["cond-mat.supr-con","hep-ph","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:26:12Z","title_canon_sha256":"5d3a478b149d5c94f5948d8ca9cd583d3dc8cca8eea859327d0cd6f63628cc7c"},"schema_version":"1.0","source":{"id":"0904.2768","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.2768","created_at":"2026-05-18T04:36:40Z"},{"alias_kind":"arxiv_version","alias_value":"0904.2768v2","created_at":"2026-05-18T04:36:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2768","created_at":"2026-05-18T04:36:40Z"},{"alias_kind":"pith_short_12","alias_value":"PLBYLCCGNXSZ","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PLBYLCCGNXSZKWC7","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PLBYLCCG","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:6452faed245df0c5c7c34f09bc8fe2906a9ac1849084ce7fec9379cfb710a491","target":"graph","created_at":"2026-05-18T04:36:40Z","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":"We show that the Ginzburg-Landau expansion of the grand potential for the Bogoliubov-de Gennes Hamiltonian is determined by the integrable nonlinear equations of the AKNS hierarchy, and that this provides the natural mathematical framework for a hidden nonlinear quantum mechanical supersymmetry underlying the dynamics.","authors_text":"Francisco Correa, Gerald V. Dunne, Mikhail S. Plyushchay","cross_cats":["cond-mat.supr-con","hep-ph","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:26:12Z","title":"The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2768","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":"sha256:1fb158f078247b9bc1add771cfaef4b3b011bd8bb472469c7564056743617f58","target":"record","created_at":"2026-05-18T04:36:40Z","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":"25a5c6e51eefd01711fc11ede571f57918da911edd6156301efc9eb09b8b56aa","cross_cats_sorted":["cond-mat.supr-con","hep-ph","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:26:12Z","title_canon_sha256":"5d3a478b149d5c94f5948d8ca9cd583d3dc8cca8eea859327d0cd6f63628cc7c"},"schema_version":"1.0","source":{"id":"0904.2768","kind":"arxiv","version":2}},"canonical_sha256":"7ac38588466de595585f8b5cbe0a13fb4a6a69937cc66a6fc19179b6f1075229","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ac38588466de595585f8b5cbe0a13fb4a6a69937cc66a6fc19179b6f1075229","first_computed_at":"2026-05-18T04:36:40.637205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:40.637205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v9tW3pUE2OODGumtwDJxRcjoJI8oUurTgb0CJt0X+YNeGdZo1jJFwR7JOfyBhfDhrOirhSGGpXEIeqNHxiFmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:40.637613Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.2768","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fb158f078247b9bc1add771cfaef4b3b011bd8bb472469c7564056743617f58","sha256:6452faed245df0c5c7c34f09bc8fe2906a9ac1849084ce7fec9379cfb710a491"],"state_sha256":"c23eb4afccd38ce48bf2c17e676cb68862c09531d94644c5254496b75332f3cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lW+zqXHdN3q21CfeQhjHr/kWx8s8OFY9DKYoLWHszK8Gu8r8rXsi/XQowi01Bq0TpZ3h6devav1vK/vjHBnSCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T21:17:02.737629Z","bundle_sha256":"374354c7a5710ed06264a805a9b432bfcad02374e7076d0518f53e301f5f2481"}}