{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:MSJNLJLFOKSLBW3AQWLEZKWH36","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":"31802b7a7ad347c56aadb0f85f0df4e5fbfa780b7424874a75e70fdb460c8d46","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-05T15:47:04Z","title_canon_sha256":"3f616e4e4b5e7681ef47156239be6cfa6718b5115c0b76435b7f953e000036c3"},"schema_version":"1.0","source":{"id":"2210.02340","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.02340","created_at":"2026-07-05T05:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"2210.02340v2","created_at":"2026-07-05T05:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.02340","created_at":"2026-07-05T05:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"MSJNLJLFOKSL","created_at":"2026-07-05T05:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"MSJNLJLFOKSLBW3A","created_at":"2026-07-05T05:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"MSJNLJLF","created_at":"2026-07-05T05:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:d94ef6ae7628094edd1451d6e314eadb01075798738c7949fd8da191dc5af813","target":"graph","created_at":"2026-07-05T05:30:15Z","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/2210.02340/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Spontaneous parametric down-conversion (SPDC) is widely used in quantum applications based on photonic entanglement. The efficiency of photon pair generation is often characterized by means of a $sinc(L\\Delta k/2)$-function, where $L$ is the length of the nonlinear medium and $\\Delta k$ the phase mismatch between the pump and down-converted fields. In theoretical investigations, the \\textit{sinc} behavior of the phase mismatch has often been approximated by a Gaussian function $\\exp{(-\\alpha x^2)}$ in order to derive analytical expressions for the SPDC process. Different values have been chose","authors_text":"Baghdasar Baghdasaryan, Fabian Steinlechner, Stephan Fritzsche","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-05T15:47:04Z","title":"Maximizing the Validity of the Gaussian Approximation for the biphoton State from Parametric Downconversion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.02340","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":"sha256:1f27a9725c46377537bc775db8eab01ee566686f9ea638ee2ad1a0d241de5d88","target":"record","created_at":"2026-07-05T05:30:15Z","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":"31802b7a7ad347c56aadb0f85f0df4e5fbfa780b7424874a75e70fdb460c8d46","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-05T15:47:04Z","title_canon_sha256":"3f616e4e4b5e7681ef47156239be6cfa6718b5115c0b76435b7f953e000036c3"},"schema_version":"1.0","source":{"id":"2210.02340","kind":"arxiv","version":2}},"canonical_sha256":"6492d5a56572a4b0db6085964caac7df9a398470d46bb0407da6c8f28e4c3997","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6492d5a56572a4b0db6085964caac7df9a398470d46bb0407da6c8f28e4c3997","first_computed_at":"2026-07-05T05:30:15.073321Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:30:15.073321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f6oQw4isKJerY6pMoY3i5kKjO4kXeJmynu8gGqlMRx8SweG1XYjN0qXA+adxzC/p6LIRU27iV09kOKgBXxmFDg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:30:15.073802Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.02340","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f27a9725c46377537bc775db8eab01ee566686f9ea638ee2ad1a0d241de5d88","sha256:d94ef6ae7628094edd1451d6e314eadb01075798738c7949fd8da191dc5af813"],"state_sha256":"46f0fde8727f3191ccacaebda7e2fbb33b4cb2e1facee56ba30f7da76711bf4e"}