{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:L5E4OUL6F5TPYQNFXRHMYNE57A","short_pith_number":"pith:L5E4OUL6","canonical_record":{"source":{"id":"2606.27498","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-25T19:32:28Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","quant-ph"],"title_canon_sha256":"551e3a85afa0d6944926b319bb2ccefd7783c223d8a57c3798f977c2ef9de045","abstract_canon_sha256":"98c6f44ae16f4ab75b601409218879a6e7d6ca93f020101390ded9a6c7a783a1"},"schema_version":"1.0"},"canonical_sha256":"5f49c7517e2f66fc41a5bc4ecc349df8353116ef26ef5ddd2328c19e3d536ee6","source":{"kind":"arxiv","id":"2606.27498","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27498","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27498v1","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27498","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"pith_short_12","alias_value":"L5E4OUL6F5TP","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"pith_short_16","alias_value":"L5E4OUL6F5TPYQNF","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"pith_short_8","alias_value":"L5E4OUL6","created_at":"2026-06-29T00:14:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:L5E4OUL6F5TPYQNFXRHMYNE57A","target":"record","payload":{"canonical_record":{"source":{"id":"2606.27498","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-25T19:32:28Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","quant-ph"],"title_canon_sha256":"551e3a85afa0d6944926b319bb2ccefd7783c223d8a57c3798f977c2ef9de045","abstract_canon_sha256":"98c6f44ae16f4ab75b601409218879a6e7d6ca93f020101390ded9a6c7a783a1"},"schema_version":"1.0"},"canonical_sha256":"5f49c7517e2f66fc41a5bc4ecc349df8353116ef26ef5ddd2328c19e3d536ee6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T00:14:08.263333Z","signature_b64":"8QfUuGMFeyc/bGdpcjwrDFl0pIk/cDRjlC/FVV6CXiGqOk1tYOSm36wX6qf9UYx7QVO7YMXelamMiUf36cBICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f49c7517e2f66fc41a5bc4ecc349df8353116ef26ef5ddd2328c19e3d536ee6","last_reissued_at":"2026-06-29T00:14:08.262928Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T00:14:08.262928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.27498","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":"2026-06-29T00:14:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5NLiEgNspv8XC9KTD9SUA5iTyAwM6/Qs/qTXfGbUE2h8ny5ncB+KvOVQu7BgP/C/5JReGGdrjvkvITfk9ryrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:03:17.442203Z"},"content_sha256":"8e6d1330d6ffec6f5c59d1409b0d17d4663f440f164256c17472cc360a8f8eb9","schema_version":"1.0","event_id":"sha256:8e6d1330d6ffec6f5c59d1409b0d17d4663f440f164256c17472cc360a8f8eb9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:L5E4OUL6F5TPYQNFXRHMYNE57A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Soft QED as Open Quantum System: Infrared Cancellation and Soft-Shell Coarse Graining","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph","quant-ph"],"primary_cat":"hep-th","authors_text":"Soo-Jong Rey","submitted_at":"2026-06-25T19:32:28Z","abstract_excerpt":"I formulate unresolved soft-photon sector of QED as open quantum system. Resolved charged particles and hard photons form the system, unresolved soft photons form the environment, and basic object is the reduced density matrix. A resolved outcome $f$ of multiple hard particles and photons has probability $P_{f}(i) =\\sum_n|\\langle f,n|S|i,0\\rangle|^2=\\langle i|F_f|i\\rangle$, with Kraus operators $K_n= {}_{\\rm soft} \\langle n|S|0 \\rangle_{\\rm soft}$ and effect $F_f=\\sum_nK_n^\\dagger\\Pi_fK_n$. The SK formulation places unresolved virtual and real terms in one doubled-contour expansion. At one loo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27498","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/2606.27498/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":"2026-06-29T00:14:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SPHV5ZYhSrYOm9p08K2hpZbjg1g8/NsaauUaIJ3cKfv0lVop2YXM+/nYRfeGBPDPRLm7qy3+oJAlDNkqPULPDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:03:17.442598Z"},"content_sha256":"4c0152116529af4f4469b84bfe1c45b9be783c1367be53efc543ba979b8b0267","schema_version":"1.0","event_id":"sha256:4c0152116529af4f4469b84bfe1c45b9be783c1367be53efc543ba979b8b0267"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L5E4OUL6F5TPYQNFXRHMYNE57A/bundle.json","state_url":"https://pith.science/pith/L5E4OUL6F5TPYQNFXRHMYNE57A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L5E4OUL6F5TPYQNFXRHMYNE57A/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":"2026-07-03T17:03:17Z","links":{"resolver":"https://pith.science/pith/L5E4OUL6F5TPYQNFXRHMYNE57A","bundle":"https://pith.science/pith/L5E4OUL6F5TPYQNFXRHMYNE57A/bundle.json","state":"https://pith.science/pith/L5E4OUL6F5TPYQNFXRHMYNE57A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L5E4OUL6F5TPYQNFXRHMYNE57A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:L5E4OUL6F5TPYQNFXRHMYNE57A","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":"98c6f44ae16f4ab75b601409218879a6e7d6ca93f020101390ded9a6c7a783a1","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-25T19:32:28Z","title_canon_sha256":"551e3a85afa0d6944926b319bb2ccefd7783c223d8a57c3798f977c2ef9de045"},"schema_version":"1.0","source":{"id":"2606.27498","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27498","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27498v1","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27498","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"pith_short_12","alias_value":"L5E4OUL6F5TP","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"pith_short_16","alias_value":"L5E4OUL6F5TPYQNF","created_at":"2026-06-29T00:14:08Z"},{"alias_kind":"pith_short_8","alias_value":"L5E4OUL6","created_at":"2026-06-29T00:14:08Z"}],"graph_snapshots":[{"event_id":"sha256:4c0152116529af4f4469b84bfe1c45b9be783c1367be53efc543ba979b8b0267","target":"graph","created_at":"2026-06-29T00:14:08Z","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/2606.27498/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"I formulate unresolved soft-photon sector of QED as open quantum system. Resolved charged particles and hard photons form the system, unresolved soft photons form the environment, and basic object is the reduced density matrix. A resolved outcome $f$ of multiple hard particles and photons has probability $P_{f}(i) =\\sum_n|\\langle f,n|S|i,0\\rangle|^2=\\langle i|F_f|i\\rangle$, with Kraus operators $K_n= {}_{\\rm soft} \\langle n|S|0 \\rangle_{\\rm soft}$ and effect $F_f=\\sum_nK_n^\\dagger\\Pi_fK_n$. The SK formulation places unresolved virtual and real terms in one doubled-contour expansion. At one loo","authors_text":"Soo-Jong Rey","cross_cats":["cond-mat.stat-mech","hep-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-25T19:32:28Z","title":"Soft QED as Open Quantum System: Infrared Cancellation and Soft-Shell Coarse Graining"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27498","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":"sha256:8e6d1330d6ffec6f5c59d1409b0d17d4663f440f164256c17472cc360a8f8eb9","target":"record","created_at":"2026-06-29T00:14:08Z","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":"98c6f44ae16f4ab75b601409218879a6e7d6ca93f020101390ded9a6c7a783a1","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-25T19:32:28Z","title_canon_sha256":"551e3a85afa0d6944926b319bb2ccefd7783c223d8a57c3798f977c2ef9de045"},"schema_version":"1.0","source":{"id":"2606.27498","kind":"arxiv","version":1}},"canonical_sha256":"5f49c7517e2f66fc41a5bc4ecc349df8353116ef26ef5ddd2328c19e3d536ee6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f49c7517e2f66fc41a5bc4ecc349df8353116ef26ef5ddd2328c19e3d536ee6","first_computed_at":"2026-06-29T00:14:08.262928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T00:14:08.262928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8QfUuGMFeyc/bGdpcjwrDFl0pIk/cDRjlC/FVV6CXiGqOk1tYOSm36wX6qf9UYx7QVO7YMXelamMiUf36cBICg==","signature_status":"signed_v1","signed_at":"2026-06-29T00:14:08.263333Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27498","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e6d1330d6ffec6f5c59d1409b0d17d4663f440f164256c17472cc360a8f8eb9","sha256:4c0152116529af4f4469b84bfe1c45b9be783c1367be53efc543ba979b8b0267"],"state_sha256":"d083ce2f8082c4bf4d99698a2cf3f4a4743bad1a2329b956f8528c37407e0f6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ccVZRKFSm2J9RYcSwOKq2z0CUQFoJQwOVaMbn8Q7pT/vfnQ4T7JMSCZgZJV5amLXO1uJT/8FJE+LHuUv/qKfBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T17:03:17.444516Z","bundle_sha256":"03f907041e4aad4730e6f9148a37103147df22d29aa6c77b0286fa829e2c666b"}}