{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XTB2KRLIORBD4ZJVXNCSH445RV","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":"f51bd379c7636914f9bd8f9c9db275eb15c4b96fa1ceaa8e20c9dd3c50805bd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-29T13:49:43Z","title_canon_sha256":"bdb6a3ca0bb856719472d269fe71a6a6e5439a83d6dc6cfa14be988c8df4a23f"},"schema_version":"1.0","source":{"id":"1405.7556","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7556","created_at":"2026-05-18T02:50:50Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7556v1","created_at":"2026-05-18T02:50:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7556","created_at":"2026-05-18T02:50:50Z"},{"alias_kind":"pith_short_12","alias_value":"XTB2KRLIORBD","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XTB2KRLIORBD4ZJV","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XTB2KRLI","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:33c6952ce769f43b692021f79dd86050cb22670cfdef2ec5efa89ae98ea3d8c8","target":"graph","created_at":"2026-05-18T02:50:50Z","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":"Lieb-Robinson-type bounds are reported for a large class of classical Hamiltonian lattice models. By a suitable rescaling of energy or time, such bounds can be constructed for interactions of arbitrarily long range. The bound quantifies the dependence of the system's dynamics on a perturbation of the initial state. The effect of the perturbation is found to be effectively restricted to the interior of a causal region of logarithmic shape, with only small, algebraically decaying effects in the exterior. A refined bound, sharper than conventional Lieb-Robinson bounds, is required to correctly ca","authors_text":"David M\\'etivier, Michael Kastner, Romain Bachelard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-29T13:49:43Z","title":"Spreading of Perturbations in Long-Range Interacting Classical Lattice Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7556","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:db96b0a58bbe7761be29765258847259bdac37c0c576085715382b8eb342fd30","target":"record","created_at":"2026-05-18T02:50:50Z","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":"f51bd379c7636914f9bd8f9c9db275eb15c4b96fa1ceaa8e20c9dd3c50805bd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-29T13:49:43Z","title_canon_sha256":"bdb6a3ca0bb856719472d269fe71a6a6e5439a83d6dc6cfa14be988c8df4a23f"},"schema_version":"1.0","source":{"id":"1405.7556","kind":"arxiv","version":1}},"canonical_sha256":"bcc3a5456874423e6535bb4523f39d8d4b4ec549e8dac363381a36b76a61f30d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcc3a5456874423e6535bb4523f39d8d4b4ec549e8dac363381a36b76a61f30d","first_computed_at":"2026-05-18T02:50:50.975936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:50.975936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hp8JzGz8ifk/oFka/+YAMuxa90DX6KD4RHVWjdopvZXCYC8rT1nsyWezyUANeb7sJatfNZyCNqQkC683cvhSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:50.976391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.7556","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db96b0a58bbe7761be29765258847259bdac37c0c576085715382b8eb342fd30","sha256:33c6952ce769f43b692021f79dd86050cb22670cfdef2ec5efa89ae98ea3d8c8"],"state_sha256":"181636468585b74282f0b3b1c785d30061a715dc7c008293a0bf757e51cfaf83"}