{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RDJZATA7FTRAKLHDJPSLM6ENWM","short_pith_number":"pith:RDJZATA7","canonical_record":{"source":{"id":"1609.03090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-10T21:32:20Z","cross_cats_sorted":[],"title_canon_sha256":"c2bdc3f52c75e1c8f97a899e733c45eecb9f7d2cdb0fa5b5c87d60ed501ccaad","abstract_canon_sha256":"c783da2b2f284eddd75fe9d026c3846b1cdb477677bf43320bdc5dce2c7b9802"},"schema_version":"1.0"},"canonical_sha256":"88d3904c1f2ce2052ce34be4b6788db3000c883fc68ff30d7de01c256e206316","source":{"kind":"arxiv","id":"1609.03090","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03090","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03090v1","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03090","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"pith_short_12","alias_value":"RDJZATA7FTRA","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RDJZATA7FTRAKLHD","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RDJZATA7","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RDJZATA7FTRAKLHDJPSLM6ENWM","target":"record","payload":{"canonical_record":{"source":{"id":"1609.03090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-10T21:32:20Z","cross_cats_sorted":[],"title_canon_sha256":"c2bdc3f52c75e1c8f97a899e733c45eecb9f7d2cdb0fa5b5c87d60ed501ccaad","abstract_canon_sha256":"c783da2b2f284eddd75fe9d026c3846b1cdb477677bf43320bdc5dce2c7b9802"},"schema_version":"1.0"},"canonical_sha256":"88d3904c1f2ce2052ce34be4b6788db3000c883fc68ff30d7de01c256e206316","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:19.591568Z","signature_b64":"3ZJUiD3BcB2UKsI292oFpd3FYBtbHMnhNPH9VzsLXBriw+NJg2Snv14LMMDgdM8TMamA63+mu1Q8KykX/1mjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88d3904c1f2ce2052ce34be4b6788db3000c883fc68ff30d7de01c256e206316","last_reissued_at":"2026-05-18T00:56:19.590836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:19.590836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.03090","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":"2026-05-18T00:56:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sd+cLj+88NlRaQZPjsWgBGOR9BIZetRCh1aCx26x8CtO245cz2KoYUUgC3Wn5GqyJ97KbqqAn/fK39XLznMSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:26:42.402828Z"},"content_sha256":"f41408f13c26a3161165ccca2b7ac14e29e5471393fe913b7f4038b6e80f0dd7","schema_version":"1.0","event_id":"sha256:f41408f13c26a3161165ccca2b7ac14e29e5471393fe913b7f4038b6e80f0dd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RDJZATA7FTRAKLHDJPSLM6ENWM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical theory of single photon transport in a one-dimensional waveguide coupled to identical and non-identical emitters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hyunchul Nha, M. Suhail Zubairy, Zeyang Liao","submitted_at":"2016-09-10T21:32:20Z","abstract_excerpt":"We develop a general dynamical theory for studying a single photon transport in a one-dimensional (1D) waveguide coupled to multiple emitters which can be either identical or non-identical. In this theory, both the effects of the waveguide and non-waveguide vacuum modes are included. This theory enables us to investigate the propagation of an emitter excitation or an arbitrary single photon pulse along an array of emitters coupled to a 1D waveguide. The dipole-dipole interaction induced by the non-waveguide modes, which is usually neglected in the literatures, can significantly modify the dyna"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03090","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":"2026-05-18T00:56:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kxE1VmOWRFZNlXC6P+yhWx+8DhLVXb34UMR6aap6KoajDt2kjDu04SsM+MWFFeJI+qX2MVeN6gUBLjKXM3DbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:26:42.403409Z"},"content_sha256":"877d33c9c28adf0918d3568a37a3d3b4fe5acdd80807b073408f9fb2e9330537","schema_version":"1.0","event_id":"sha256:877d33c9c28adf0918d3568a37a3d3b4fe5acdd80807b073408f9fb2e9330537"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RDJZATA7FTRAKLHDJPSLM6ENWM/bundle.json","state_url":"https://pith.science/pith/RDJZATA7FTRAKLHDJPSLM6ENWM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RDJZATA7FTRAKLHDJPSLM6ENWM/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":"2026-05-27T01:26:42Z","links":{"resolver":"https://pith.science/pith/RDJZATA7FTRAKLHDJPSLM6ENWM","bundle":"https://pith.science/pith/RDJZATA7FTRAKLHDJPSLM6ENWM/bundle.json","state":"https://pith.science/pith/RDJZATA7FTRAKLHDJPSLM6ENWM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RDJZATA7FTRAKLHDJPSLM6ENWM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RDJZATA7FTRAKLHDJPSLM6ENWM","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":"c783da2b2f284eddd75fe9d026c3846b1cdb477677bf43320bdc5dce2c7b9802","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-10T21:32:20Z","title_canon_sha256":"c2bdc3f52c75e1c8f97a899e733c45eecb9f7d2cdb0fa5b5c87d60ed501ccaad"},"schema_version":"1.0","source":{"id":"1609.03090","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03090","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03090v1","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03090","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"pith_short_12","alias_value":"RDJZATA7FTRA","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RDJZATA7FTRAKLHD","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RDJZATA7","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:877d33c9c28adf0918d3568a37a3d3b4fe5acdd80807b073408f9fb2e9330537","target":"graph","created_at":"2026-05-18T00:56:19Z","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 general dynamical theory for studying a single photon transport in a one-dimensional (1D) waveguide coupled to multiple emitters which can be either identical or non-identical. In this theory, both the effects of the waveguide and non-waveguide vacuum modes are included. This theory enables us to investigate the propagation of an emitter excitation or an arbitrary single photon pulse along an array of emitters coupled to a 1D waveguide. The dipole-dipole interaction induced by the non-waveguide modes, which is usually neglected in the literatures, can significantly modify the dyna","authors_text":"Hyunchul Nha, M. Suhail Zubairy, Zeyang Liao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-10T21:32:20Z","title":"Dynamical theory of single photon transport in a one-dimensional waveguide coupled to identical and non-identical emitters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03090","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:f41408f13c26a3161165ccca2b7ac14e29e5471393fe913b7f4038b6e80f0dd7","target":"record","created_at":"2026-05-18T00:56:19Z","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":"c783da2b2f284eddd75fe9d026c3846b1cdb477677bf43320bdc5dce2c7b9802","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-10T21:32:20Z","title_canon_sha256":"c2bdc3f52c75e1c8f97a899e733c45eecb9f7d2cdb0fa5b5c87d60ed501ccaad"},"schema_version":"1.0","source":{"id":"1609.03090","kind":"arxiv","version":1}},"canonical_sha256":"88d3904c1f2ce2052ce34be4b6788db3000c883fc68ff30d7de01c256e206316","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88d3904c1f2ce2052ce34be4b6788db3000c883fc68ff30d7de01c256e206316","first_computed_at":"2026-05-18T00:56:19.590836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:19.590836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3ZJUiD3BcB2UKsI292oFpd3FYBtbHMnhNPH9VzsLXBriw+NJg2Snv14LMMDgdM8TMamA63+mu1Q8KykX/1mjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:19.591568Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03090","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f41408f13c26a3161165ccca2b7ac14e29e5471393fe913b7f4038b6e80f0dd7","sha256:877d33c9c28adf0918d3568a37a3d3b4fe5acdd80807b073408f9fb2e9330537"],"state_sha256":"d59a41f191906391b43e1d98b203c1e33eab600fc70e34299e697d57c431e5f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hIw5DqLYupc1zjIixd4f9JDHR7JxI6DCuqeQuoE/Nlza9+HxeX1jOucCgJiNjgi2jTZ0+9Zq+lJl8LwX8SDeDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:26:42.406798Z","bundle_sha256":"de0a1e1f71c740d6b7588cd0e7e970b89db34dfbeef80080d5a624dd17cce1e8"}}