{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NY5I7IMKJVUEGTJ3K72J2E6FEA","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":"4e843dfbbb815ac9db95e8e8d36ab1a89020e342bf44394338c1191ebd73acb5","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-07-01T08:54:41Z","title_canon_sha256":"3bf9a6ad3b3557bc0c72397e01b88a66a71b374c6b26693b36c2db7060f81217"},"schema_version":"1.0","source":{"id":"2207.00271","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.00271","created_at":"2026-07-05T05:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"2207.00271v3","created_at":"2026-07-05T05:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.00271","created_at":"2026-07-05T05:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"NY5I7IMKJVUE","created_at":"2026-07-05T05:48:34Z"},{"alias_kind":"pith_short_16","alias_value":"NY5I7IMKJVUEGTJ3","created_at":"2026-07-05T05:48:34Z"},{"alias_kind":"pith_short_8","alias_value":"NY5I7IMK","created_at":"2026-07-05T05:48:34Z"}],"graph_snapshots":[{"event_id":"sha256:008298ccf848b760de264d476a74176a5b6f39d6ff4245f0599c6868d467aacf","target":"graph","created_at":"2026-07-05T05:48:34Z","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/2207.00271/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Linear combinations of complex gaussian functions, where the linear and nonlinear parameters are allowed to vary, are shown to provide an extremely flexible and effective approach for solving the time-dependent Schr\\\"odinger equation in one spatial dimension. The use of flexible basis sets has been proven notoriously hard within the systematics of the Dirac--Frenkel variational principle. In this work we present an alternative time-propagation scheme that de-emphasizes optimal parameter evolution but directly targets residual minimization via the method of Rothe's method, also called the metho","authors_text":"Caroline Lasser, Ludwik Adamowicz, Simen Kvaal, Thomas Bondo Pedersen","cross_cats":["physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-07-01T08:54:41Z","title":"No need for a grid: Adaptive fully-flexible gaussians for the time-dependent Schr\\\"odinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.00271","kind":"arxiv","version":3},"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":"sha256:98019cfd43d4e7f7199895e702319cf20e4606549db283471b6c63f48b805006","target":"record","created_at":"2026-07-05T05:48:34Z","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":"4e843dfbbb815ac9db95e8e8d36ab1a89020e342bf44394338c1191ebd73acb5","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-07-01T08:54:41Z","title_canon_sha256":"3bf9a6ad3b3557bc0c72397e01b88a66a71b374c6b26693b36c2db7060f81217"},"schema_version":"1.0","source":{"id":"2207.00271","kind":"arxiv","version":3}},"canonical_sha256":"6e3a8fa18a4d68434d3b57f49d13c5202d04469663d639ef345dbc34e8906863","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e3a8fa18a4d68434d3b57f49d13c5202d04469663d639ef345dbc34e8906863","first_computed_at":"2026-07-05T05:48:34.874198Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:48:34.874198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eJAom63PJmeVLuIgQYmooZhJchs6tu6N7xlqCU1t6KBZ5ELULAXMw2/rr78BjtvcmZjV5j74HxNeuFd/+M1QBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:48:34.874727Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.00271","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98019cfd43d4e7f7199895e702319cf20e4606549db283471b6c63f48b805006","sha256:008298ccf848b760de264d476a74176a5b6f39d6ff4245f0599c6868d467aacf"],"state_sha256":"668ec6e01a01410b4161ddef4354e5945a588ce7b24c2587a2eb403054383c4c"}