{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:QKR6ZFULY7ODEZ5CTYGTFHCZZH","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":"1b49129e270db82d5a2032fa8e3f7f2977298550641fdca94e517b8e08762e38","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-05-20T18:00:03Z","title_canon_sha256":"39d654c5167a1974250b8c3ac6ac8039e94800202beca0bcd51c16458c4a3674"},"schema_version":"1.0","source":{"id":"2105.09960","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.09960","created_at":"2026-07-05T03:39:59Z"},{"alias_kind":"arxiv_version","alias_value":"2105.09960v2","created_at":"2026-07-05T03:39:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.09960","created_at":"2026-07-05T03:39:59Z"},{"alias_kind":"pith_short_12","alias_value":"QKR6ZFULY7OD","created_at":"2026-07-05T03:39:59Z"},{"alias_kind":"pith_short_16","alias_value":"QKR6ZFULY7ODEZ5C","created_at":"2026-07-05T03:39:59Z"},{"alias_kind":"pith_short_8","alias_value":"QKR6ZFUL","created_at":"2026-07-05T03:39:59Z"}],"graph_snapshots":[{"event_id":"sha256:192e44b7419537692f815eb1cde7c87231cf996351b24994a01f6b6f9558319f","target":"graph","created_at":"2026-07-05T03:39:59Z","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/2105.09960/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In many-body quantum systems with spatially local interactions, quantum information propagates with a finite velocity, reminiscent of the ``light cone\" of relativity. In systems with long-range interactions which decay with distance $r$ as $1/r^\\alpha$, however, there are multiple light cones which control different information theoretic tasks. We show an optimal (up to logarithms) ``Frobenius light cone\" obeying $t\\sim r^{\\min(\\alpha-1,1)}$ for $\\alpha>1$ in one-dimensional power-law interacting systems with finite local dimension: this controls, among other physical properties, the butterfly","authors_text":"Andrew Lucas, Chi-Fang Chen","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-05-20T18:00:03Z","title":"Optimal Frobenius light cone in spin chains with power-law interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.09960","kind":"arxiv","version":2},"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:bd2058e036b93ece9fb3d68ce12dc76a8da5a44ba7c2be088ea3bc3bf8e1886c","target":"record","created_at":"2026-07-05T03:39:59Z","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":"1b49129e270db82d5a2032fa8e3f7f2977298550641fdca94e517b8e08762e38","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-05-20T18:00:03Z","title_canon_sha256":"39d654c5167a1974250b8c3ac6ac8039e94800202beca0bcd51c16458c4a3674"},"schema_version":"1.0","source":{"id":"2105.09960","kind":"arxiv","version":2}},"canonical_sha256":"82a3ec968bc7dc3267a29e0d329c59c9cb393ff4173c4cb5115a21f0814cfa88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82a3ec968bc7dc3267a29e0d329c59c9cb393ff4173c4cb5115a21f0814cfa88","first_computed_at":"2026-07-05T03:39:59.217837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:39:59.217837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uGLCq4HR0Ie0xpVsBWypmapm84FChelhOzjwMHmjyVCXek5gRyfWd9DxyixvedcBwZ9EsNi3MN2occ/8OHINCA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:39:59.218337Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.09960","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd2058e036b93ece9fb3d68ce12dc76a8da5a44ba7c2be088ea3bc3bf8e1886c","sha256:192e44b7419537692f815eb1cde7c87231cf996351b24994a01f6b6f9558319f"],"state_sha256":"16cccb46036a1ee62dbb1d8959a691c0d8a4cefcd7e983d5f9084893328707db"}