{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:HPMMKPE2HY7L5PCJNE53264UTO","short_pith_number":"pith:HPMMKPE2","canonical_record":{"source":{"id":"2606.27387","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2026-06-15T20:45:47Z","cross_cats_sorted":[],"title_canon_sha256":"d9934e773418398f27fc1368a46eecae38d67190e8a9526e1400b70d1ea5a3aa","abstract_canon_sha256":"f9169f2258b881a7fe185be8152919d0028ebc4b43b34ef620801504e2afecc1"},"schema_version":"1.0"},"canonical_sha256":"3bd8c53c9a3e3ebebc49693bbd7b949bba730375162bf21a5e6c7e08fe048f29","source":{"kind":"arxiv","id":"2606.27387","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27387","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27387v1","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27387","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"pith_short_12","alias_value":"HPMMKPE2HY7L","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"pith_short_16","alias_value":"HPMMKPE2HY7L5PCJ","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"pith_short_8","alias_value":"HPMMKPE2","created_at":"2026-06-29T00:14:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:HPMMKPE2HY7L5PCJNE53264UTO","target":"record","payload":{"canonical_record":{"source":{"id":"2606.27387","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2026-06-15T20:45:47Z","cross_cats_sorted":[],"title_canon_sha256":"d9934e773418398f27fc1368a46eecae38d67190e8a9526e1400b70d1ea5a3aa","abstract_canon_sha256":"f9169f2258b881a7fe185be8152919d0028ebc4b43b34ef620801504e2afecc1"},"schema_version":"1.0"},"canonical_sha256":"3bd8c53c9a3e3ebebc49693bbd7b949bba730375162bf21a5e6c7e08fe048f29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T00:14:04.500063Z","signature_b64":"vQ7ED0UPUSiKXwJEhnACBakj0GyjCxE8QFyGQ3c33uMBiGVejVBGNV480m4iNEYNNSBLEsA23Z+f1EfzWs1sDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bd8c53c9a3e3ebebc49693bbd7b949bba730375162bf21a5e6c7e08fe048f29","last_reissued_at":"2026-06-29T00:14:04.499680Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T00:14:04.499680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.27387","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-29T00:14:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lYM9Qq8jocqFCsrytE/GvKuecngNvdNHaNdooWtgPOZnF918rNJUlmWCPPhIllvrqAG8AwUbqFgSHTgm27d4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T22:02:49.529723Z"},"content_sha256":"fe5b50b90d1c6d4c21e45f419432a4fea2ced54defd8970aff5fabdbe5b6d3b6","schema_version":"1.0","event_id":"sha256:fe5b50b90d1c6d4c21e45f419432a4fea2ced54defd8970aff5fabdbe5b6d3b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:HPMMKPE2HY7L5PCJNE53264UTO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Meaning of Localization in Non-Local Quantum Field Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"E. J. Thompson","submitted_at":"2026-06-15T20:45:47Z","abstract_excerpt":"In this paper we explore and derive an uncertainty principle for an ultraviolet complete nonlocal quantum field theory where under our hypothesises of an induced equal time detector response kernel, we then prove that the observed localization width obeys an exact variance addition law. Then when we combine this with the ordinary Heisenberg inequality and we obtain a nonlocal uncertainty relation. The bound reduces to the usual local relation in the infrared or local limit when $E_M \\to \\infty$, while in the ultraviolet it implies a minimal localization length of order $L_M$. We go on to expla"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27387","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.27387/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-29T00:14:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EEAXLe0invJORYSnnewDAQbRSiTGyDFz0KRoJkTV02xSdSr/mYI9xcuZ5zbs8svtTwWoN6+t+DrEnsuNi7CmDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T22:02:49.530087Z"},"content_sha256":"dc12cb06766bbe49c9aabc214202ae114fdca004488b125cd79849278c261730","schema_version":"1.0","event_id":"sha256:dc12cb06766bbe49c9aabc214202ae114fdca004488b125cd79849278c261730"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HPMMKPE2HY7L5PCJNE53264UTO/bundle.json","state_url":"https://pith.science/pith/HPMMKPE2HY7L5PCJNE53264UTO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HPMMKPE2HY7L5PCJNE53264UTO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-29T22:02:49Z","links":{"resolver":"https://pith.science/pith/HPMMKPE2HY7L5PCJNE53264UTO","bundle":"https://pith.science/pith/HPMMKPE2HY7L5PCJNE53264UTO/bundle.json","state":"https://pith.science/pith/HPMMKPE2HY7L5PCJNE53264UTO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HPMMKPE2HY7L5PCJNE53264UTO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HPMMKPE2HY7L5PCJNE53264UTO","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":"f9169f2258b881a7fe185be8152919d0028ebc4b43b34ef620801504e2afecc1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2026-06-15T20:45:47Z","title_canon_sha256":"d9934e773418398f27fc1368a46eecae38d67190e8a9526e1400b70d1ea5a3aa"},"schema_version":"1.0","source":{"id":"2606.27387","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27387","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27387v1","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27387","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"pith_short_12","alias_value":"HPMMKPE2HY7L","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"pith_short_16","alias_value":"HPMMKPE2HY7L5PCJ","created_at":"2026-06-29T00:14:04Z"},{"alias_kind":"pith_short_8","alias_value":"HPMMKPE2","created_at":"2026-06-29T00:14:04Z"}],"graph_snapshots":[{"event_id":"sha256:dc12cb06766bbe49c9aabc214202ae114fdca004488b125cd79849278c261730","target":"graph","created_at":"2026-06-29T00:14:04Z","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/2606.27387/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we explore and derive an uncertainty principle for an ultraviolet complete nonlocal quantum field theory where under our hypothesises of an induced equal time detector response kernel, we then prove that the observed localization width obeys an exact variance addition law. Then when we combine this with the ordinary Heisenberg inequality and we obtain a nonlocal uncertainty relation. The bound reduces to the usual local relation in the infrared or local limit when $E_M \\to \\infty$, while in the ultraviolet it implies a minimal localization length of order $L_M$. We go on to expla","authors_text":"E. J. Thompson","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2026-06-15T20:45:47Z","title":"On the Meaning of Localization in Non-Local Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27387","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:fe5b50b90d1c6d4c21e45f419432a4fea2ced54defd8970aff5fabdbe5b6d3b6","target":"record","created_at":"2026-06-29T00:14:04Z","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":"f9169f2258b881a7fe185be8152919d0028ebc4b43b34ef620801504e2afecc1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2026-06-15T20:45:47Z","title_canon_sha256":"d9934e773418398f27fc1368a46eecae38d67190e8a9526e1400b70d1ea5a3aa"},"schema_version":"1.0","source":{"id":"2606.27387","kind":"arxiv","version":1}},"canonical_sha256":"3bd8c53c9a3e3ebebc49693bbd7b949bba730375162bf21a5e6c7e08fe048f29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bd8c53c9a3e3ebebc49693bbd7b949bba730375162bf21a5e6c7e08fe048f29","first_computed_at":"2026-06-29T00:14:04.499680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T00:14:04.499680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vQ7ED0UPUSiKXwJEhnACBakj0GyjCxE8QFyGQ3c33uMBiGVejVBGNV480m4iNEYNNSBLEsA23Z+f1EfzWs1sDw==","signature_status":"signed_v1","signed_at":"2026-06-29T00:14:04.500063Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27387","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe5b50b90d1c6d4c21e45f419432a4fea2ced54defd8970aff5fabdbe5b6d3b6","sha256:dc12cb06766bbe49c9aabc214202ae114fdca004488b125cd79849278c261730"],"state_sha256":"1fc2353737a281de1be510bb3be09e6c12c6ea9870df11644d145310b49c6123"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XrDhHeexwrdudTG6kBO21YsbcN20C4jQZOxVCGbGGJtpuv8gJY5NDrF4R8bALfloLFFaQQHT8lRu+hOKGVEmDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T22:02:49.532008Z","bundle_sha256":"f16c8f900daffba585a12c595925c9f6b815d1334e7d91b5e888d73f1e6d5d1b"}}