{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:AGG65NASNPT7DWXG2PCTO2YQHL","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":"a03c5adaaa28ed386a4eb82b979c133d715666e3e367b97e83e8be3e3500b3db","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"nlin.SI","submitted_at":"2007-08-08T15:18:28Z","title_canon_sha256":"56a39372a218020663aeaf2779ca689ac8ea8c2983dd6e8dcba98b094690c025"},"schema_version":"1.0","source":{"id":"0708.1125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.1125","created_at":"2026-07-04T15:28:29Z"},{"alias_kind":"arxiv_version","alias_value":"0708.1125v1","created_at":"2026-07-04T15:28:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.1125","created_at":"2026-07-04T15:28:29Z"},{"alias_kind":"pith_short_12","alias_value":"AGG65NASNPT7","created_at":"2026-07-04T15:28:29Z"},{"alias_kind":"pith_short_16","alias_value":"AGG65NASNPT7DWXG","created_at":"2026-07-04T15:28:29Z"},{"alias_kind":"pith_short_8","alias_value":"AGG65NAS","created_at":"2026-07-04T15:28:29Z"}],"graph_snapshots":[{"event_id":"sha256:2772de55fda351b72fda0f18a625da7aa91ee2a24bdc84685795e8aff23b2036","target":"graph","created_at":"2026-07-04T15:28:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0708.1125/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a pseudo-differential approach to the N=2 supersymmetric unconstrained matrix (k|n,m)-Generalized Nonlinear Schroedinger hierarchies and prove consistency of the corresponding Lax-pair representation (nlin.SI/0201026). Furthermore, we establish their equivalence to the integrable hierarchies derived in the super-algebraic approach of the homogeneously-graded loop superalgebra sl(2k+n|2k+m)\\otimes C[{lambda},{lambda}^{-1}] (nlin.SI/0206037). We introduce an unconventional definition of N=2 supersymmetric strictly pseudo-differential operators so as to close their algebra among themse","authors_text":"A.S. Sorin, F. Delduc, O. Lechtenfeld","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2007-08-08T15:18:28Z","title":"N=2 supersymmetric unconstrained matrix GNLS hierarchies are consistent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.1125","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":"sha256:545611adb12ee309c6fd1ba3f935fe09c718d2c8dc2c390c6676cb6857a2bee8","target":"record","created_at":"2026-07-04T15:28:29Z","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":"a03c5adaaa28ed386a4eb82b979c133d715666e3e367b97e83e8be3e3500b3db","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"nlin.SI","submitted_at":"2007-08-08T15:18:28Z","title_canon_sha256":"56a39372a218020663aeaf2779ca689ac8ea8c2983dd6e8dcba98b094690c025"},"schema_version":"1.0","source":{"id":"0708.1125","kind":"arxiv","version":1}},"canonical_sha256":"018deeb4126be7f1dae6d3c5376b103affa98ee6bf5f6a9492a951857916291d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"018deeb4126be7f1dae6d3c5376b103affa98ee6bf5f6a9492a951857916291d","first_computed_at":"2026-07-04T15:28:29.496687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:28:29.496687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ow9sd6ATvi1WN6ihkArH///7j+/hnN0m0YEKU1O4lGGNJFZs0FZnwi61hzXdNjXCWWDco8EgMS3BQWhK2LQMCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:28:29.497370Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.1125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:545611adb12ee309c6fd1ba3f935fe09c718d2c8dc2c390c6676cb6857a2bee8","sha256:2772de55fda351b72fda0f18a625da7aa91ee2a24bdc84685795e8aff23b2036"],"state_sha256":"6171a007f88d7d8c903f3f1c162af57f8adf60c3fa4de2439213062033e875e1"}