{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3VUW75KUIPVS2FP5WZQDQSB762","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":"8b8c0693817d4faad8fd73115d937f751271a41c51d39492535a6fe482ce3f54","cross_cats_sorted":["gr-qc","math-ph","math.MP","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-12T08:04:14Z","title_canon_sha256":"34aaa18cd16acb2aeeebd6ab76667ccf3d95980c6a3e932471c86de4517fa87e"},"schema_version":"1.0","source":{"id":"2307.05987","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.05987","created_at":"2026-07-05T08:08:49Z"},{"alias_kind":"arxiv_version","alias_value":"2307.05987v2","created_at":"2026-07-05T08:08:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.05987","created_at":"2026-07-05T08:08:49Z"},{"alias_kind":"pith_short_12","alias_value":"3VUW75KUIPVS","created_at":"2026-07-05T08:08:49Z"},{"alias_kind":"pith_short_16","alias_value":"3VUW75KUIPVS2FP5","created_at":"2026-07-05T08:08:49Z"},{"alias_kind":"pith_short_8","alias_value":"3VUW75KU","created_at":"2026-07-05T08:08:49Z"}],"graph_snapshots":[{"event_id":"sha256:a3b362af43e684c2878eaa202b23340a01e06589873ff233bb1a10015381846d","target":"graph","created_at":"2026-07-05T08:08:49Z","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/2307.05987/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that linear superpositions of plane waves involving a single-valued, covariantly stable dispersion relation $\\omega(k)$ always propagate outside the lightcone, unless $\\omega(k) =a+b k$. This implies that there is no notion of causality for individual dispersion relations, since no mathematical condition on the function $\\omega(k)$ (such as the front velocity or the asymptotic group velocity conditions) can serve as a sufficient condition for subluminal propagation in dispersive media. Instead, causality can only emerge from a careful cancellation that occurs when one superimposes all ","authors_text":"Jorge Noronha, Lorenzo Gavassino, Marcelo M. Disconzi","cross_cats":["gr-qc","math-ph","math.MP","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-12T08:04:14Z","title":"Dispersion relations alone cannot guarantee causality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.05987","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":"sha256:5cd371a5c97cd436863ff3ad6efda6d01a32b2b48f2661c2a900197e349ac3af","target":"record","created_at":"2026-07-05T08:08:49Z","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":"8b8c0693817d4faad8fd73115d937f751271a41c51d39492535a6fe482ce3f54","cross_cats_sorted":["gr-qc","math-ph","math.MP","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-12T08:04:14Z","title_canon_sha256":"34aaa18cd16acb2aeeebd6ab76667ccf3d95980c6a3e932471c86de4517fa87e"},"schema_version":"1.0","source":{"id":"2307.05987","kind":"arxiv","version":2}},"canonical_sha256":"dd696ff55443eb2d15fdb66038483ff6b041e2520fb450abb201cbf71317a6f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd696ff55443eb2d15fdb66038483ff6b041e2520fb450abb201cbf71317a6f7","first_computed_at":"2026-07-05T08:08:49.998847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:08:49.998847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lbCnGgBmiLn39fiAlozN97lANnYNPZniRtpICjsNSgecTMK3QygcFrx1bkiL7Gnj20ELJbXUd8bE5BycfssWCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:08:49.999342Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.05987","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cd371a5c97cd436863ff3ad6efda6d01a32b2b48f2661c2a900197e349ac3af","sha256:a3b362af43e684c2878eaa202b23340a01e06589873ff233bb1a10015381846d"],"state_sha256":"a0410e34e15de80e12f494107ea81b08997744fea26137a63b99e423186ab60d"}