{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:P5H6N7IU2E5KQABG745BGF25WQ","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":"fd273a853ded1599d1b694d48deab4540669f243639e7cf08dbb800949f65411","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-28T18:00:36Z","title_canon_sha256":"297f39eaa160719ca7f0ff3f09b9f1e2779d9b7876bbade6485d1effd76b72ca"},"schema_version":"1.0","source":{"id":"2607.27253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.27253","created_at":"2026-07-31T00:10:25Z"},{"alias_kind":"arxiv_version","alias_value":"2607.27253v1","created_at":"2026-07-31T00:10:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.27253","created_at":"2026-07-31T00:10:25Z"},{"alias_kind":"pith_short_12","alias_value":"P5H6N7IU2E5K","created_at":"2026-07-31T00:10:25Z"},{"alias_kind":"pith_short_16","alias_value":"P5H6N7IU2E5KQABG","created_at":"2026-07-31T00:10:25Z"},{"alias_kind":"pith_short_8","alias_value":"P5H6N7IU","created_at":"2026-07-31T00:10:25Z"}],"graph_snapshots":[{"event_id":"sha256:b5db2bbd64f73d2e1f95b901f9d82f8ba519e8ba9bfe941730a9d4dc01274d7d","target":"graph","created_at":"2026-07-31T00:10:25Z","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/2607.27253/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We modify the Standard Model by making the longitudinal component of the photon physical, propagating with small speed $c_L \\ll 1$. This modification breaks gauge invariance and Lorentz symmetry, defining a preferred reference frame. No new fields or scales are introduced, and the photon mass is protected by a Galilean higher-form symmetry. The theory has a smooth $c_L\\to0$ limit: the new modes decouple from standard matter and ordinary gauge theory predictions are recovered. Experimental constraints are severe. Charged particles Cherenkov-emit these slow modes, experiencing hard recoils again","authors_text":"Francesco Serra","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-28T18:00:36Z","title":"A Material Frame: Hard Recoils from Slow Force Carriers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.27253","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":"sha256:4693530d303c1a0382be78a729e94d2fb8094ac509c7957bbd5873ee598ada5f","target":"record","created_at":"2026-07-31T00:10:25Z","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":"fd273a853ded1599d1b694d48deab4540669f243639e7cf08dbb800949f65411","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-28T18:00:36Z","title_canon_sha256":"297f39eaa160719ca7f0ff3f09b9f1e2779d9b7876bbade6485d1effd76b72ca"},"schema_version":"1.0","source":{"id":"2607.27253","kind":"arxiv","version":1}},"canonical_sha256":"7f4fe6fd14d13aa80026ff3a13175db40c2e940de1991e92eefa4ea560707b2b","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f4fe6fd14d13aa80026ff3a13175db40c2e940de1991e92eefa4ea560707b2b","first_computed_at":"2026-07-31T00:10:25.313992Z","kind":"pith_receipt","last_reissued_at":"2026-07-31T00:10:25.313992Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2607.27253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4693530d303c1a0382be78a729e94d2fb8094ac509c7957bbd5873ee598ada5f","sha256:b5db2bbd64f73d2e1f95b901f9d82f8ba519e8ba9bfe941730a9d4dc01274d7d"],"state_sha256":"6c96bf90481a7314db6c0c283e57f486dd7670ce2771a4cefd1e3469c47b1333"}