{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KEOHQOWAFAXJLW5MRLW3IDD3PF","short_pith_number":"pith:KEOHQOWA","canonical_record":{"source":{"id":"1301.5229","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-22T16:32:44Z","cross_cats_sorted":[],"title_canon_sha256":"3622eed917d5a085197a9ffb1a55c269bc622f16478490be7ce38ef68a5d34e3","abstract_canon_sha256":"a6f7c9e5c79c6211bc9e3c07ede3b0fd50cbfc24ee33fdea23a20222a89bb370"},"schema_version":"1.0"},"canonical_sha256":"511c783ac0282e95dbac8aedb40c7b795ee04a7f76d15ccb113acc3f5603b92b","source":{"kind":"arxiv","id":"1301.5229","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5229","created_at":"2026-05-18T00:26:13Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5229v1","created_at":"2026-05-18T00:26:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5229","created_at":"2026-05-18T00:26:13Z"},{"alias_kind":"pith_short_12","alias_value":"KEOHQOWAFAXJ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KEOHQOWAFAXJLW5M","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KEOHQOWA","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KEOHQOWAFAXJLW5MRLW3IDD3PF","target":"record","payload":{"canonical_record":{"source":{"id":"1301.5229","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-22T16:32:44Z","cross_cats_sorted":[],"title_canon_sha256":"3622eed917d5a085197a9ffb1a55c269bc622f16478490be7ce38ef68a5d34e3","abstract_canon_sha256":"a6f7c9e5c79c6211bc9e3c07ede3b0fd50cbfc24ee33fdea23a20222a89bb370"},"schema_version":"1.0"},"canonical_sha256":"511c783ac0282e95dbac8aedb40c7b795ee04a7f76d15ccb113acc3f5603b92b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:13.194013Z","signature_b64":"v+AkU/6m1JAUCHShXe25bn3IwdUb7StW0Fmok/DRn4t3Itw0jvMPOKpETr/NHikbl1pT96npc9fHtelYGclgBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"511c783ac0282e95dbac8aedb40c7b795ee04a7f76d15ccb113acc3f5603b92b","last_reissued_at":"2026-05-18T00:26:13.193515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:13.193515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.5229","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":"2026-05-18T00:26:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LYnbnjQdP3y0pGWMVDLqcPEDKB2rpvUgc5Wz1QuUFtJ5j1hNaQn6Lc08+UMPBZguHXmnQNZdqnxfvo90LH7DBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:12:12.758083Z"},"content_sha256":"1fc7924e1aeb807d70e58bd94ed044aa8eec0b179c2a6ebbad74f2db3f290981","schema_version":"1.0","event_id":"sha256:1fc7924e1aeb807d70e58bd94ed044aa8eec0b179c2a6ebbad74f2db3f290981"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KEOHQOWAFAXJLW5MRLW3IDD3PF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Majorization relations and entanglement generation in a beam splitter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"C. N. Gagatsos, N. J. Cerf, O. Oreshkov","submitted_at":"2013-01-22T16:32:44Z","abstract_excerpt":"We prove that a beam splitter, one of the most common optical components, fulfills several classes of majorization relations, which govern the amount of quantum entanglement that it can generate. First, we show that the state resulting from k photons impinging on a beam splitter majorizes the corresponding state with any larger photon number k'>k, implying that the entanglement monotonically grows with k. Then, we examine parametric infinitesimal majorization relations as a function of the beam-splitter transmittance, and find that there exists a parameter region where majorization is again fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5229","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":"2026-05-18T00:26:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eDvSNgC5dTCP8GCEZHXLxipZ1uIdOxm7Wnun5NN37etftn86f9kE/uidahIplTWW7/oa0P3LxUBaoi193jf4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:12:12.758444Z"},"content_sha256":"f8581eaa51f8104519fb5f70ecf0f1696e42da0d62c3afe709b346225cd54820","schema_version":"1.0","event_id":"sha256:f8581eaa51f8104519fb5f70ecf0f1696e42da0d62c3afe709b346225cd54820"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KEOHQOWAFAXJLW5MRLW3IDD3PF/bundle.json","state_url":"https://pith.science/pith/KEOHQOWAFAXJLW5MRLW3IDD3PF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KEOHQOWAFAXJLW5MRLW3IDD3PF/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":"2026-05-26T16:12:12Z","links":{"resolver":"https://pith.science/pith/KEOHQOWAFAXJLW5MRLW3IDD3PF","bundle":"https://pith.science/pith/KEOHQOWAFAXJLW5MRLW3IDD3PF/bundle.json","state":"https://pith.science/pith/KEOHQOWAFAXJLW5MRLW3IDD3PF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KEOHQOWAFAXJLW5MRLW3IDD3PF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KEOHQOWAFAXJLW5MRLW3IDD3PF","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":"a6f7c9e5c79c6211bc9e3c07ede3b0fd50cbfc24ee33fdea23a20222a89bb370","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-22T16:32:44Z","title_canon_sha256":"3622eed917d5a085197a9ffb1a55c269bc622f16478490be7ce38ef68a5d34e3"},"schema_version":"1.0","source":{"id":"1301.5229","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5229","created_at":"2026-05-18T00:26:13Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5229v1","created_at":"2026-05-18T00:26:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5229","created_at":"2026-05-18T00:26:13Z"},{"alias_kind":"pith_short_12","alias_value":"KEOHQOWAFAXJ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KEOHQOWAFAXJLW5M","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KEOHQOWA","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:f8581eaa51f8104519fb5f70ecf0f1696e42da0d62c3afe709b346225cd54820","target":"graph","created_at":"2026-05-18T00:26:13Z","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 prove that a beam splitter, one of the most common optical components, fulfills several classes of majorization relations, which govern the amount of quantum entanglement that it can generate. First, we show that the state resulting from k photons impinging on a beam splitter majorizes the corresponding state with any larger photon number k'>k, implying that the entanglement monotonically grows with k. Then, we examine parametric infinitesimal majorization relations as a function of the beam-splitter transmittance, and find that there exists a parameter region where majorization is again fu","authors_text":"C. N. Gagatsos, N. J. Cerf, O. Oreshkov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-22T16:32:44Z","title":"Majorization relations and entanglement generation in a beam splitter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5229","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":"sha256:1fc7924e1aeb807d70e58bd94ed044aa8eec0b179c2a6ebbad74f2db3f290981","target":"record","created_at":"2026-05-18T00:26:13Z","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":"a6f7c9e5c79c6211bc9e3c07ede3b0fd50cbfc24ee33fdea23a20222a89bb370","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-22T16:32:44Z","title_canon_sha256":"3622eed917d5a085197a9ffb1a55c269bc622f16478490be7ce38ef68a5d34e3"},"schema_version":"1.0","source":{"id":"1301.5229","kind":"arxiv","version":1}},"canonical_sha256":"511c783ac0282e95dbac8aedb40c7b795ee04a7f76d15ccb113acc3f5603b92b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"511c783ac0282e95dbac8aedb40c7b795ee04a7f76d15ccb113acc3f5603b92b","first_computed_at":"2026-05-18T00:26:13.193515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:13.193515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v+AkU/6m1JAUCHShXe25bn3IwdUb7StW0Fmok/DRn4t3Itw0jvMPOKpETr/NHikbl1pT96npc9fHtelYGclgBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:13.194013Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5229","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fc7924e1aeb807d70e58bd94ed044aa8eec0b179c2a6ebbad74f2db3f290981","sha256:f8581eaa51f8104519fb5f70ecf0f1696e42da0d62c3afe709b346225cd54820"],"state_sha256":"74489ddb927d1dfb0f6d726e5d0fca73a0ef0e8decdf5bf2c206507ca8e3fed2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pgjxU+lnWeG1pVQZ+3WZ6fYo7gl+lzjJBRl1XmySUArP0Qa5rWN6fPLQiRVC59UEnT8OuFG7vTKxib902UexCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:12:12.760683Z","bundle_sha256":"0ef0e39b3aad84cf02047666bbb3afb58be546dacc4a92d818e1b9ed83bf0b86"}}