{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SMC63QIJ3HUX4TQ6RA53FX6URW","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":"544bda84729846b6bc34592a254bbd039bc2a8538907030cad6e8a93c05da544","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-18T13:05:15Z","title_canon_sha256":"d12d2a7bd0dce7ec1bd3e3b99475107702b99e9b48abc083c06c20c02610a75e"},"schema_version":"1.0","source":{"id":"1110.3965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3965","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3965v1","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3965","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"pith_short_12","alias_value":"SMC63QIJ3HUX","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SMC63QIJ3HUX4TQ6","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SMC63QIJ","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:f133c0ec45febeab7667d9793aa47c6ac74ce1f98361603246fbc48d87e21faa","target":"graph","created_at":"2026-05-18T04:10:47Z","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":"We consider the problem of propagation of photons in the quantum theory of non-relativistic matter coupled to electromagnetic radiation, which is, presently, the only consistent quantum theory of matter and radiation. Assuming that the matter system is in a localized state (i.e for energies below the ionization threshold), we show that the probability to find photons at time t at the distance greater than ct, where c is the speed of light, vanishes as t goes to infinity as an inverse power of t.","authors_text":"Israel Michael Sigal, Jean-Francois Bony, J\\'er\\'emy Faupin","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-18T13:05:15Z","title":"Maximal velocity of photons in non-relativistic QED"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3965","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":"sha256:632c58b9c7a0b60e069a408798c42fc194369670b9064b652227abe0991a37a2","target":"record","created_at":"2026-05-18T04:10:47Z","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":"544bda84729846b6bc34592a254bbd039bc2a8538907030cad6e8a93c05da544","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-18T13:05:15Z","title_canon_sha256":"d12d2a7bd0dce7ec1bd3e3b99475107702b99e9b48abc083c06c20c02610a75e"},"schema_version":"1.0","source":{"id":"1110.3965","kind":"arxiv","version":1}},"canonical_sha256":"9305edc109d9e97e4e1e883bb2dfd48dab0fa988481e2befb30d15ac28f018c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9305edc109d9e97e4e1e883bb2dfd48dab0fa988481e2befb30d15ac28f018c2","first_computed_at":"2026-05-18T04:10:47.601522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:47.601522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bv6T8lGM1zJ6THM2RmWmstxMeu7ysR0m9IkgwGRKCZ5uFcj4COzNaJjtmLUuwNKsntdyguZhmlRo9yjigxCMAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:47.601920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:632c58b9c7a0b60e069a408798c42fc194369670b9064b652227abe0991a37a2","sha256:f133c0ec45febeab7667d9793aa47c6ac74ce1f98361603246fbc48d87e21faa"],"state_sha256":"c5be5e9126289c243ebfb21a058df6592c08a404518f250e8b8354a5f1dde038"}