{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:V5AX6EK55XHYYNTKUDIBPV46FZ","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":"38e3928feb92b01561cc3539a05dda30c804b5796b77f0e70652af132d5d24dd","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-06-19T12:34:21Z","title_canon_sha256":"084ac6fa10d759686a4d97804aaa786abfcf093ea1761c672ac42a4200ef6985"},"schema_version":"1.0","source":{"id":"hep-ph/0006210","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0006210","created_at":"2026-05-18T01:06:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0006210v1","created_at":"2026-05-18T01:06:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0006210","created_at":"2026-05-18T01:06:15Z"},{"alias_kind":"pith_short_12","alias_value":"V5AX6EK55XHY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"V5AX6EK55XHYYNTK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"V5AX6EK5","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:5fe71647615b958ac274984d2d76b63a6290f4e19723aed5b9bb26e1d83a03f7","target":"graph","created_at":"2026-05-18T01:06:15Z","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":"It has been recently observed that small violations of Lorentz invariance, of a type which may arise in quantum gravity, could explain both the observations of cosmic rays above the GZK cutoff and the observations of 20-TeV gamma rays from Markarian 501. We show here that different pictures of the short-distance structure of space-time would lead to different manifestations of Lorentz-invariance violation. Specifically, the deformation of Lorentz invariance needed to resolve these observational paradoxes can only arise within commutative short-distance pictures of space-time. In noncommutative","authors_text":"Giovanni Amelino-Camelia, Tsvi Piran","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-06-19T12:34:21Z","title":"Cosmic rays and TeV photons as probes of quantum properties of space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0006210","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":"sha256:8d243cf91e61abe209d2edbfc25b8a2473684a1c401ffc3fd0f999de3f268073","target":"record","created_at":"2026-05-18T01:06:15Z","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":"38e3928feb92b01561cc3539a05dda30c804b5796b77f0e70652af132d5d24dd","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-06-19T12:34:21Z","title_canon_sha256":"084ac6fa10d759686a4d97804aaa786abfcf093ea1761c672ac42a4200ef6985"},"schema_version":"1.0","source":{"id":"hep-ph/0006210","kind":"arxiv","version":1}},"canonical_sha256":"af417f115dedcf8c366aa0d017d79e2e5d15cb2f3ebc67f739a57a7a0ca8ca52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af417f115dedcf8c366aa0d017d79e2e5d15cb2f3ebc67f739a57a7a0ca8ca52","first_computed_at":"2026-05-18T01:06:15.549244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:15.549244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nQvoTsTQ372p+rvWKaYIVv64lczaHWJbSHIjzInqpdsrbyNQhQC0IAXG9OuiUFoXdDtryFjt9bVoA459sDwsAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:15.549798Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0006210","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d243cf91e61abe209d2edbfc25b8a2473684a1c401ffc3fd0f999de3f268073","sha256:5fe71647615b958ac274984d2d76b63a6290f4e19723aed5b9bb26e1d83a03f7"],"state_sha256":"e9939c18dbbb5a64a6b1e37d3964ef7e0b45b1e505a8ce9a68ca0562aeb5d1c3"}