{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:VWEUEW6452ZK6Q4QSYH4LX7265","short_pith_number":"pith:VWEUEW64","canonical_record":{"source":{"id":"2112.12044","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-22T17:14:27Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"68115ea8d8188ffdfb21d84ba0d315530b0afb4613f4f3cbdd83ac3a2a6f0d6f","abstract_canon_sha256":"fc5313b4f2478038914a1fa985416396a73f45c28c0cbd781442674c23d7b915"},"schema_version":"1.0"},"canonical_sha256":"ad89425bdceeb2af4390960fc5dffaf778199c4ea701c3f01164dec5ce12b337","source":{"kind":"arxiv","id":"2112.12044","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.12044","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"arxiv_version","alias_value":"2112.12044v2","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.12044","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"pith_short_12","alias_value":"VWEUEW6452ZK","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"pith_short_16","alias_value":"VWEUEW6452ZK6Q4Q","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"pith_short_8","alias_value":"VWEUEW64","created_at":"2026-07-05T04:33:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:VWEUEW6452ZK6Q4QSYH4LX7265","target":"record","payload":{"canonical_record":{"source":{"id":"2112.12044","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-22T17:14:27Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"68115ea8d8188ffdfb21d84ba0d315530b0afb4613f4f3cbdd83ac3a2a6f0d6f","abstract_canon_sha256":"fc5313b4f2478038914a1fa985416396a73f45c28c0cbd781442674c23d7b915"},"schema_version":"1.0"},"canonical_sha256":"ad89425bdceeb2af4390960fc5dffaf778199c4ea701c3f01164dec5ce12b337","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:33:28.032756Z","signature_b64":"JI+ldH2FzOTYb79tePZr4cZ07Y2vlx/b0e6b/zTsvtLzgq2p/aEDqkscjBNSOz5s2nvG16ymkVOTqE7TM5J+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad89425bdceeb2af4390960fc5dffaf778199c4ea701c3f01164dec5ce12b337","last_reissued_at":"2026-07-05T04:33:28.032282Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:33:28.032282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.12044","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:33:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4srivzWPizVwcFduDoL4Al6+Ol1qi2v6j2qIHYrdQDufKnUqe/u8BNEvHqsdDZL4yvQvd1F4QdtuMdzq3vP/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:53:34.442351Z"},"content_sha256":"60f10b960635eb86696b5573c882c9f894ee13afaa5e39952296c71638087ff2","schema_version":"1.0","event_id":"sha256:60f10b960635eb86696b5573c882c9f894ee13afaa5e39952296c71638087ff2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:VWEUEW6452ZK6Q4QSYH4LX7265","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A simple way to incorporate loss when modelling multimode entangled state generation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"quant-ph","authors_text":"Colin Vendromin, Marc M. Dignam","submitted_at":"2021-12-22T17:14:27Z","abstract_excerpt":"We show that the light generated via spontaneous four-wave mixing or parametric down conversion in multiple, coupled, lossy cavities is a multimode squeezed thermal state. Requiring this state to be the solution of the Lindblad master equation results in a set of coupled first-order differential equations for the time-dependent squeezing parameters and thermal photon numbers of the state. The benefit of this semi-analytic approach is that the number of coupled equations scales linearly with the number of modes but is independent of the number of photons generated. With this analytic form of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.12044","kind":"arxiv","version":2},"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/2112.12044/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":"2026-07-05T04:33:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RyJ82Mn3ZRKHdKB6z8PlXGaY1WSUr8W3llfiw/VJOOYAocTfUnhJ9A05DIShyYu8SHwunNHSonhyo9brxZwDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:53:34.442721Z"},"content_sha256":"db89b1df482b1cc173ca42ca2c4a78aa3aaabd3d3dcc4a52409bbe7af6d98e6a","schema_version":"1.0","event_id":"sha256:db89b1df482b1cc173ca42ca2c4a78aa3aaabd3d3dcc4a52409bbe7af6d98e6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VWEUEW6452ZK6Q4QSYH4LX7265/bundle.json","state_url":"https://pith.science/pith/VWEUEW6452ZK6Q4QSYH4LX7265/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VWEUEW6452ZK6Q4QSYH4LX7265/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":"2026-08-20T02:53:34Z","links":{"resolver":"https://pith.science/pith/VWEUEW6452ZK6Q4QSYH4LX7265","bundle":"https://pith.science/pith/VWEUEW6452ZK6Q4QSYH4LX7265/bundle.json","state":"https://pith.science/pith/VWEUEW6452ZK6Q4QSYH4LX7265/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VWEUEW6452ZK6Q4QSYH4LX7265/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:VWEUEW6452ZK6Q4QSYH4LX7265","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":"fc5313b4f2478038914a1fa985416396a73f45c28c0cbd781442674c23d7b915","cross_cats_sorted":["physics.optics"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-22T17:14:27Z","title_canon_sha256":"68115ea8d8188ffdfb21d84ba0d315530b0afb4613f4f3cbdd83ac3a2a6f0d6f"},"schema_version":"1.0","source":{"id":"2112.12044","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.12044","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"arxiv_version","alias_value":"2112.12044v2","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.12044","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"pith_short_12","alias_value":"VWEUEW6452ZK","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"pith_short_16","alias_value":"VWEUEW6452ZK6Q4Q","created_at":"2026-07-05T04:33:28Z"},{"alias_kind":"pith_short_8","alias_value":"VWEUEW64","created_at":"2026-07-05T04:33:28Z"}],"graph_snapshots":[{"event_id":"sha256:db89b1df482b1cc173ca42ca2c4a78aa3aaabd3d3dcc4a52409bbe7af6d98e6a","target":"graph","created_at":"2026-07-05T04:33:28Z","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/2112.12044/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the light generated via spontaneous four-wave mixing or parametric down conversion in multiple, coupled, lossy cavities is a multimode squeezed thermal state. Requiring this state to be the solution of the Lindblad master equation results in a set of coupled first-order differential equations for the time-dependent squeezing parameters and thermal photon numbers of the state. The benefit of this semi-analytic approach is that the number of coupled equations scales linearly with the number of modes but is independent of the number of photons generated. With this analytic form of th","authors_text":"Colin Vendromin, Marc M. Dignam","cross_cats":["physics.optics"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-22T17:14:27Z","title":"A simple way to incorporate loss when modelling multimode entangled state generation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.12044","kind":"arxiv","version":2},"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":"sha256:60f10b960635eb86696b5573c882c9f894ee13afaa5e39952296c71638087ff2","target":"record","created_at":"2026-07-05T04:33:28Z","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":"fc5313b4f2478038914a1fa985416396a73f45c28c0cbd781442674c23d7b915","cross_cats_sorted":["physics.optics"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-12-22T17:14:27Z","title_canon_sha256":"68115ea8d8188ffdfb21d84ba0d315530b0afb4613f4f3cbdd83ac3a2a6f0d6f"},"schema_version":"1.0","source":{"id":"2112.12044","kind":"arxiv","version":2}},"canonical_sha256":"ad89425bdceeb2af4390960fc5dffaf778199c4ea701c3f01164dec5ce12b337","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad89425bdceeb2af4390960fc5dffaf778199c4ea701c3f01164dec5ce12b337","first_computed_at":"2026-07-05T04:33:28.032282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:33:28.032282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JI+ldH2FzOTYb79tePZr4cZ07Y2vlx/b0e6b/zTsvtLzgq2p/aEDqkscjBNSOz5s2nvG16ymkVOTqE7TM5J+AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:33:28.032756Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.12044","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60f10b960635eb86696b5573c882c9f894ee13afaa5e39952296c71638087ff2","sha256:db89b1df482b1cc173ca42ca2c4a78aa3aaabd3d3dcc4a52409bbe7af6d98e6a"],"state_sha256":"a085031457863465b7e986a65cd20299051e19e07a7d7452f2156316f019c777"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/RLncWczXHaRDUXZDVr71xQAI+R84hzPzqoFivGFebrf02gszMDAXuC//mJKZxV/m5QZnYCK9XjOZ6ExntF3Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T02:53:34.445233Z","bundle_sha256":"7905650e4c00604f9eade7fcf35da9f314728dab9e6d76c1b832f58aea69bde8"}}