{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JBIJIBMHPSUUHJZIDUOZ4N6EB3","short_pith_number":"pith:JBIJIBMH","canonical_record":{"source":{"id":"1507.08699","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-30T22:10:45Z","cross_cats_sorted":[],"title_canon_sha256":"cdcc1bb36eedcce1ec5ca0357b338065f5a429bc5bf9cbb88d0368dcf0df97b6","abstract_canon_sha256":"1e0954c5f976b5bf6e4545bd83769fa0765ac42da1e62317c4d91c69b7b4b562"},"schema_version":"1.0"},"canonical_sha256":"48509405877ca943a7281d1d9e37c40ed914a0306754ed4de8a7a0e0f3323595","source":{"kind":"arxiv","id":"1507.08699","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08699","created_at":"2026-05-18T01:26:09Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08699v1","created_at":"2026-05-18T01:26:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08699","created_at":"2026-05-18T01:26:09Z"},{"alias_kind":"pith_short_12","alias_value":"JBIJIBMHPSUU","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JBIJIBMHPSUUHJZI","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JBIJIBMH","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JBIJIBMHPSUUHJZIDUOZ4N6EB3","target":"record","payload":{"canonical_record":{"source":{"id":"1507.08699","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-30T22:10:45Z","cross_cats_sorted":[],"title_canon_sha256":"cdcc1bb36eedcce1ec5ca0357b338065f5a429bc5bf9cbb88d0368dcf0df97b6","abstract_canon_sha256":"1e0954c5f976b5bf6e4545bd83769fa0765ac42da1e62317c4d91c69b7b4b562"},"schema_version":"1.0"},"canonical_sha256":"48509405877ca943a7281d1d9e37c40ed914a0306754ed4de8a7a0e0f3323595","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:09.774519Z","signature_b64":"q1nqFft2FjerqaPmWJEojY3H/nFWt0oppdmAXCAxHpf5kspBOBufZs7I5s96GkJczb529lsZl6NQr48pysI1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48509405877ca943a7281d1d9e37c40ed914a0306754ed4de8a7a0e0f3323595","last_reissued_at":"2026-05-18T01:26:09.773973Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:09.773973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.08699","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":"2026-05-18T01:26:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q/pYFipME0bmtvJwrR0ih8KVh1ZJ/fQVz7jU3GWb3VrJ5oKInse4gIGP3Jt74xh7vlFLIVxsB8R37LyRAkCIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:48:14.110914Z"},"content_sha256":"5bae42c9423b6315a60bf512b9d75b5383dd6432183e746db8add4c511164686","schema_version":"1.0","event_id":"sha256:5bae42c9423b6315a60bf512b9d75b5383dd6432183e746db8add4c511164686"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JBIJIBMHPSUUHJZIDUOZ4N6EB3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-photon Scattering Theory and Generalized Master Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Darrick E. Chang, J. Ignacio Cirac, Tao Shi","submitted_at":"2015-07-30T22:10:45Z","abstract_excerpt":"We develop a scattering theory to investigate the multi-photon transmission in a one-dimensional waveguide in the presence of quantum emitters. It is based on a path integral formalism, uses displacement transformations, and does not require the Markov approximation. We obtain the full time-evolution of the global system, including the emitters and the photonic field. Our theory allows us to compute the transition amplitude between arbitrary initial and final states, as well as the S-matrix of the asymptotic in- and out- states. For the case of few incident photons in the waveguide, we also re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08699","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":""},"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":"2026-05-18T01:26:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ayQKexUwgB/mtLo+WLMShMmsGQW6Eo3+6Dmcw2IWW5A8MaKA6Uqgv5TkG7sCFJL6EH8tzPjowGzaGq9iNSPuDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:48:14.111489Z"},"content_sha256":"227b5d67125cb807cb9f2cba0d3ea527402aee2da503d65260013678f28d9be1","schema_version":"1.0","event_id":"sha256:227b5d67125cb807cb9f2cba0d3ea527402aee2da503d65260013678f28d9be1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JBIJIBMHPSUUHJZIDUOZ4N6EB3/bundle.json","state_url":"https://pith.science/pith/JBIJIBMHPSUUHJZIDUOZ4N6EB3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JBIJIBMHPSUUHJZIDUOZ4N6EB3/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":"2026-05-26T08:48:14Z","links":{"resolver":"https://pith.science/pith/JBIJIBMHPSUUHJZIDUOZ4N6EB3","bundle":"https://pith.science/pith/JBIJIBMHPSUUHJZIDUOZ4N6EB3/bundle.json","state":"https://pith.science/pith/JBIJIBMHPSUUHJZIDUOZ4N6EB3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JBIJIBMHPSUUHJZIDUOZ4N6EB3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JBIJIBMHPSUUHJZIDUOZ4N6EB3","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":"1e0954c5f976b5bf6e4545bd83769fa0765ac42da1e62317c4d91c69b7b4b562","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-30T22:10:45Z","title_canon_sha256":"cdcc1bb36eedcce1ec5ca0357b338065f5a429bc5bf9cbb88d0368dcf0df97b6"},"schema_version":"1.0","source":{"id":"1507.08699","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08699","created_at":"2026-05-18T01:26:09Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08699v1","created_at":"2026-05-18T01:26:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08699","created_at":"2026-05-18T01:26:09Z"},{"alias_kind":"pith_short_12","alias_value":"JBIJIBMHPSUU","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JBIJIBMHPSUUHJZI","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JBIJIBMH","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:227b5d67125cb807cb9f2cba0d3ea527402aee2da503d65260013678f28d9be1","target":"graph","created_at":"2026-05-18T01:26:09Z","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 develop a scattering theory to investigate the multi-photon transmission in a one-dimensional waveguide in the presence of quantum emitters. It is based on a path integral formalism, uses displacement transformations, and does not require the Markov approximation. We obtain the full time-evolution of the global system, including the emitters and the photonic field. Our theory allows us to compute the transition amplitude between arbitrary initial and final states, as well as the S-matrix of the asymptotic in- and out- states. For the case of few incident photons in the waveguide, we also re","authors_text":"Darrick E. Chang, J. Ignacio Cirac, Tao Shi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-30T22:10:45Z","title":"Multi-photon Scattering Theory and Generalized Master Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08699","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":"sha256:5bae42c9423b6315a60bf512b9d75b5383dd6432183e746db8add4c511164686","target":"record","created_at":"2026-05-18T01:26:09Z","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":"1e0954c5f976b5bf6e4545bd83769fa0765ac42da1e62317c4d91c69b7b4b562","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-30T22:10:45Z","title_canon_sha256":"cdcc1bb36eedcce1ec5ca0357b338065f5a429bc5bf9cbb88d0368dcf0df97b6"},"schema_version":"1.0","source":{"id":"1507.08699","kind":"arxiv","version":1}},"canonical_sha256":"48509405877ca943a7281d1d9e37c40ed914a0306754ed4de8a7a0e0f3323595","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48509405877ca943a7281d1d9e37c40ed914a0306754ed4de8a7a0e0f3323595","first_computed_at":"2026-05-18T01:26:09.773973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:09.773973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q1nqFft2FjerqaPmWJEojY3H/nFWt0oppdmAXCAxHpf5kspBOBufZs7I5s96GkJczb529lsZl6NQr48pysI1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:09.774519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.08699","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bae42c9423b6315a60bf512b9d75b5383dd6432183e746db8add4c511164686","sha256:227b5d67125cb807cb9f2cba0d3ea527402aee2da503d65260013678f28d9be1"],"state_sha256":"db2764a38c257d0fc674540eee8ae0381c52b9b065737c4c08c17b40c96f0714"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wTzxeWKnDKxH37tDnTGdLIHsr5vbhwXsuQ8jJ+0t6RrFCdTS9WH6PLXMPv6YpuscYwEfRv47j7MvXfyxZroMAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:48:14.114194Z","bundle_sha256":"7fb6a197390a9fa50fdbb9f13f7dce805b0ba00867eb40d659387779ac6a64c8"}}