{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7RJQZT5F7HLZTCB2RS2JX2FMSG","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":"3b245dd0418f31d29d9ab7f4e9773a850773bd3dac9d70a58d9ca373af9f8016","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-01-27T21:46:07Z","title_canon_sha256":"9ddbbf1e194fdd113e4ab0588ee497b64efcfa1833b7d3f6325a6ef30a7b22f9"},"schema_version":"1.0","source":{"id":"1601.07580","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07580","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07580v1","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07580","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"pith_short_12","alias_value":"7RJQZT5F7HLZ","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7RJQZT5F7HLZTCB2","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7RJQZT5F","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:05e3baedaec237b703cde7559596a555c6c5de514870987fd38e7bd6ccb7bc1b","target":"graph","created_at":"2026-05-18T01:21:44Z","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":"The purpose of this paper is to express the entire hierarchy of mKdV vector fields as restrictions of vector fields in the NLS hierarchy. The result is proved using the normal form theory of the two equations.","authors_text":"Jan-Cornelius Molnar, Yannick Widmer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-01-27T21:46:07Z","title":"The mKdV and NLS hierarchies revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07580","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:bcb5198a03b247aa49923483c86931c892c57ea43dfbbcbe2e825720af723e67","target":"record","created_at":"2026-05-18T01:21:44Z","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":"3b245dd0418f31d29d9ab7f4e9773a850773bd3dac9d70a58d9ca373af9f8016","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-01-27T21:46:07Z","title_canon_sha256":"9ddbbf1e194fdd113e4ab0588ee497b64efcfa1833b7d3f6325a6ef30a7b22f9"},"schema_version":"1.0","source":{"id":"1601.07580","kind":"arxiv","version":1}},"canonical_sha256":"fc530ccfa5f9d799883a8cb49be8ac91a347aab6c73c35804bedc4e65ecf1634","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc530ccfa5f9d799883a8cb49be8ac91a347aab6c73c35804bedc4e65ecf1634","first_computed_at":"2026-05-18T01:21:44.074891Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:44.074891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"piuOfOGK+il/H6O+FAUCQutf+aEqjAO1Da+oyc56GxadEZG86IyHMWM8cBkWELjY6SURPLdyffVvi/O6k2lcBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:44.075398Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07580","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcb5198a03b247aa49923483c86931c892c57ea43dfbbcbe2e825720af723e67","sha256:05e3baedaec237b703cde7559596a555c6c5de514870987fd38e7bd6ccb7bc1b"],"state_sha256":"bd7cf2f290dcbe01e303d211d84d92061088778c56e270d05a176b1b58bd39e1"}