{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NNJP27Z5SF5KOPESGSEKP6EJ5H","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":"ee6d05cc0a273743b5ca97bb251f832dd3a77a6ad7a98c93458cb9e2e38effe1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-05T10:00:23Z","title_canon_sha256":"9368d28edcc84d42e0c3f32eb0871fd92826154b6dc4417d44df9a91a9011025"},"schema_version":"1.0","source":{"id":"1510.01082","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.01082","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"arxiv_version","alias_value":"1510.01082v1","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.01082","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"pith_short_12","alias_value":"NNJP27Z5SF5K","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NNJP27Z5SF5KOPES","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NNJP27Z5","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:c28689c0b9c5a4d39f5c5fa951f84ace3ec677b76abbcf8aa0bcc781a0e1b784","target":"graph","created_at":"2026-05-18T01:19:48Z","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":"In the Hong--Ou--Mandel interferometric scheme, two identical photons that illuminate a balanced beam splitter always leave through the same exit port. Similar effects have been predicted and (partially) experimentally confirmed for multi-photon Fock-number states. In the limit of large photon numbers, the output distribution follows a $(1-x^2)^{-1/2}$ law, where $x$ is the normalized imbalance in the output photon numbers at the two output ports. We derive an analytical formula that is also valid for imbalanced input photon numbers with a large total number of photons, and focus on the extent","authors_text":"Hiromichi Nakazato, Kazuya Yuasa, Magdalena Stobi\\'nska, Saverio Pascazio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-05T10:00:23Z","title":"Photon distribution at the output of a beam splitter for imbalanced input states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.01082","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:a3eaf954c160df7bdc319f533f933802ee74f6c035a6bbfb14e5ff67fd9413ef","target":"record","created_at":"2026-05-18T01:19:48Z","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":"ee6d05cc0a273743b5ca97bb251f832dd3a77a6ad7a98c93458cb9e2e38effe1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-05T10:00:23Z","title_canon_sha256":"9368d28edcc84d42e0c3f32eb0871fd92826154b6dc4417d44df9a91a9011025"},"schema_version":"1.0","source":{"id":"1510.01082","kind":"arxiv","version":1}},"canonical_sha256":"6b52fd7f3d917aa73c923488a7f889e9c7a5a5cc0b9afff82ae9e8acf774479a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b52fd7f3d917aa73c923488a7f889e9c7a5a5cc0b9afff82ae9e8acf774479a","first_computed_at":"2026-05-18T01:19:48.062547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:48.062547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+qAXdrjwezNwKX9pGQimoPZCWuvIFBslx/Ux+bz8UfLLm8qVX4Ij8s3iMXasKtdwoZjHp5rkER2FzTkZb2vKCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:48.063190Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.01082","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3eaf954c160df7bdc319f533f933802ee74f6c035a6bbfb14e5ff67fd9413ef","sha256:c28689c0b9c5a4d39f5c5fa951f84ace3ec677b76abbcf8aa0bcc781a0e1b784"],"state_sha256":"a8b0869f1e712ad59b4ed8a9df79ea9de27c7f34c20e6f626f57f07fb3162a5f"}