{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:VF4ZI5NLK3KQYL6MUSZMCMK44T","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":"8fe96c76a09c26bc1df2ef0531a3d6d27521e44d5a36bb993b2e5792249eb479","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-01-23T15:01:12Z","title_canon_sha256":"00efdf0c648cedee45d3fd70ea7c65bc4f593bcc71df9bbc14959634fb0923dd"},"schema_version":"1.0","source":{"id":"2301.09469","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.09469","created_at":"2026-07-05T05:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"2301.09469v1","created_at":"2026-07-05T05:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.09469","created_at":"2026-07-05T05:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"VF4ZI5NLK3KQ","created_at":"2026-07-05T05:35:01Z"},{"alias_kind":"pith_short_16","alias_value":"VF4ZI5NLK3KQYL6M","created_at":"2026-07-05T05:35:01Z"},{"alias_kind":"pith_short_8","alias_value":"VF4ZI5NL","created_at":"2026-07-05T05:35:01Z"}],"graph_snapshots":[{"event_id":"sha256:9b9f1c18e1ed9b4ab3e4aa64ee7f520d44f026d68be158f1b3083bfa1286aac6","target":"graph","created_at":"2026-07-05T05:35:01Z","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/2301.09469/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The approximation of nearest neighbor interaction (NNI) is widely used in short-time spin dynamics with dipole-dipole interactions (DDI) when the intensity of spin-spin interaction is $\\sim 1/r^3$, where $r$ is a distance between those spins. However, NNI can not approximate the long time evolution in such systems. We consider the system with the intensity of the spin-spin interaction $\\sim 1/r^{\\alpha}$, $\\alpha\\ge 3$, and find the low boundary $\\alpha_c$ of applicability of the NNI to the evolution of an arbitrary one-excitation initial quantum state in the homogeneous spin chain governed by","authors_text":"A.I.Zenchuk, E.B.Fel'dman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-01-23T15:01:12Z","title":"Nearest-neighbor approximation in one-excitation state evolution along spin-1/2 chain governed by XX-Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.09469","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":"sha256:68ae08ba7f28de01d455f42239b814a5ea5d0c2f0be7eecb055d8fd4ea33c4cb","target":"record","created_at":"2026-07-05T05:35:01Z","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":"8fe96c76a09c26bc1df2ef0531a3d6d27521e44d5a36bb993b2e5792249eb479","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-01-23T15:01:12Z","title_canon_sha256":"00efdf0c648cedee45d3fd70ea7c65bc4f593bcc71df9bbc14959634fb0923dd"},"schema_version":"1.0","source":{"id":"2301.09469","kind":"arxiv","version":1}},"canonical_sha256":"a9799475ab56d50c2fcca4b2c1315ce4dd8bef4883ea134e37e5795e0badf517","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9799475ab56d50c2fcca4b2c1315ce4dd8bef4883ea134e37e5795e0badf517","first_computed_at":"2026-07-05T05:35:01.125559Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:35:01.125559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3OqQmf+98uycTdBiMzqCjdL4TSTczYMl5W9MODjAetZ+iNnJ/Eznkcn5/FnoZGwj7LV8MDRp2UxyqyVSLtrJDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:35:01.126008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.09469","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68ae08ba7f28de01d455f42239b814a5ea5d0c2f0be7eecb055d8fd4ea33c4cb","sha256:9b9f1c18e1ed9b4ab3e4aa64ee7f520d44f026d68be158f1b3083bfa1286aac6"],"state_sha256":"e61cc0bc4da4b31e1f05a5e48a1cd848e31f9144647bff580aa7a189781213bf"}