{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CF5MDKHYTLY7UZXTVKMBAA5FZV","short_pith_number":"pith:CF5MDKHY","canonical_record":{"source":{"id":"1712.10046","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.optics","submitted_at":"2017-12-28T20:17:09Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"e37f77403c1c599017e23af2aab8f0d94388e120140ccef1d0d6a258526d2a78","abstract_canon_sha256":"38934a60560f10c6660e13b833b1aa3a1a5650765d270a0829771a30ad0cf082"},"schema_version":"1.0"},"canonical_sha256":"117ac1a8f89af1fa66f3aa981003a5cd66599d8e80aa1b2fbaea6464b05ff4ca","source":{"kind":"arxiv","id":"1712.10046","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.10046","created_at":"2026-05-18T00:27:04Z"},{"alias_kind":"arxiv_version","alias_value":"1712.10046v1","created_at":"2026-05-18T00:27:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.10046","created_at":"2026-05-18T00:27:04Z"},{"alias_kind":"pith_short_12","alias_value":"CF5MDKHYTLY7","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CF5MDKHYTLY7UZXT","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CF5MDKHY","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CF5MDKHYTLY7UZXTVKMBAA5FZV","target":"record","payload":{"canonical_record":{"source":{"id":"1712.10046","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.optics","submitted_at":"2017-12-28T20:17:09Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"e37f77403c1c599017e23af2aab8f0d94388e120140ccef1d0d6a258526d2a78","abstract_canon_sha256":"38934a60560f10c6660e13b833b1aa3a1a5650765d270a0829771a30ad0cf082"},"schema_version":"1.0"},"canonical_sha256":"117ac1a8f89af1fa66f3aa981003a5cd66599d8e80aa1b2fbaea6464b05ff4ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:04.131226Z","signature_b64":"q8GZ+Xy+1Ibx3dOfltfXDKmPrKICNulr+lGKccmK8m39oAaTFZHXzaN3XquGbnKZtdC92N0QohOibiYytUsABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"117ac1a8f89af1fa66f3aa981003a5cd66599d8e80aa1b2fbaea6464b05ff4ca","last_reissued_at":"2026-05-18T00:27:04.130768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:04.130768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.10046","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":"2026-05-18T00:27:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KG2+NEvbhn1EJiQnute7yCM7Zgy0r3uPq3QBe3R4VxhEVRFuc89wBaZpXT/EnMwDb/ueSRwleKl9iCLfv2DRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:57:53.681264Z"},"content_sha256":"51e235ba557485158ea0cf74196e8fa09b18ee361f5badb00def5870887cff7c","schema_version":"1.0","event_id":"sha256:51e235ba557485158ea0cf74196e8fa09b18ee361f5badb00def5870887cff7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CF5MDKHYTLY7UZXTVKMBAA5FZV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polarization Coherence Theorem","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.optics","authors_text":"A.N. Vamivakas, J.H. Eberly, X.-F. Qian","submitted_at":"2017-12-28T20:17:09Z","abstract_excerpt":"Visibility $V$ and distinguishability $D$ quantify wave-ray duality: $V^2 + D^2 \\le 1$. We join them to polarization $P$ via the Polarization Coherence Theorem, a tight equality: $P^2 = V^2 + D^2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.10046","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":"2026-05-18T00:27:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K1PaFAgeKq1Gg/7AK/r93bF7+pIj9BtICHPHvrvCANAFMa4NbBng/Or0htdiggVVX8GtFTR9sblahD8qZhagCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:57:53.681616Z"},"content_sha256":"bb055acd5e55349b0c218c28b088f3e06fd4b7fefb3cc97ff7fd40147d64c6ae","schema_version":"1.0","event_id":"sha256:bb055acd5e55349b0c218c28b088f3e06fd4b7fefb3cc97ff7fd40147d64c6ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CF5MDKHYTLY7UZXTVKMBAA5FZV/bundle.json","state_url":"https://pith.science/pith/CF5MDKHYTLY7UZXTVKMBAA5FZV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CF5MDKHYTLY7UZXTVKMBAA5FZV/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":"2026-06-02T06:57:53Z","links":{"resolver":"https://pith.science/pith/CF5MDKHYTLY7UZXTVKMBAA5FZV","bundle":"https://pith.science/pith/CF5MDKHYTLY7UZXTVKMBAA5FZV/bundle.json","state":"https://pith.science/pith/CF5MDKHYTLY7UZXTVKMBAA5FZV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CF5MDKHYTLY7UZXTVKMBAA5FZV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CF5MDKHYTLY7UZXTVKMBAA5FZV","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":"38934a60560f10c6660e13b833b1aa3a1a5650765d270a0829771a30ad0cf082","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.optics","submitted_at":"2017-12-28T20:17:09Z","title_canon_sha256":"e37f77403c1c599017e23af2aab8f0d94388e120140ccef1d0d6a258526d2a78"},"schema_version":"1.0","source":{"id":"1712.10046","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.10046","created_at":"2026-05-18T00:27:04Z"},{"alias_kind":"arxiv_version","alias_value":"1712.10046v1","created_at":"2026-05-18T00:27:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.10046","created_at":"2026-05-18T00:27:04Z"},{"alias_kind":"pith_short_12","alias_value":"CF5MDKHYTLY7","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CF5MDKHYTLY7UZXT","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CF5MDKHY","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:bb055acd5e55349b0c218c28b088f3e06fd4b7fefb3cc97ff7fd40147d64c6ae","target":"graph","created_at":"2026-05-18T00:27:04Z","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":"Visibility $V$ and distinguishability $D$ quantify wave-ray duality: $V^2 + D^2 \\le 1$. We join them to polarization $P$ via the Polarization Coherence Theorem, a tight equality: $P^2 = V^2 + D^2$.","authors_text":"A.N. Vamivakas, J.H. Eberly, X.-F. Qian","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.optics","submitted_at":"2017-12-28T20:17:09Z","title":"Polarization Coherence Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.10046","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":"sha256:51e235ba557485158ea0cf74196e8fa09b18ee361f5badb00def5870887cff7c","target":"record","created_at":"2026-05-18T00:27:04Z","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":"38934a60560f10c6660e13b833b1aa3a1a5650765d270a0829771a30ad0cf082","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.optics","submitted_at":"2017-12-28T20:17:09Z","title_canon_sha256":"e37f77403c1c599017e23af2aab8f0d94388e120140ccef1d0d6a258526d2a78"},"schema_version":"1.0","source":{"id":"1712.10046","kind":"arxiv","version":1}},"canonical_sha256":"117ac1a8f89af1fa66f3aa981003a5cd66599d8e80aa1b2fbaea6464b05ff4ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"117ac1a8f89af1fa66f3aa981003a5cd66599d8e80aa1b2fbaea6464b05ff4ca","first_computed_at":"2026-05-18T00:27:04.130768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:04.130768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q8GZ+Xy+1Ibx3dOfltfXDKmPrKICNulr+lGKccmK8m39oAaTFZHXzaN3XquGbnKZtdC92N0QohOibiYytUsABA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:04.131226Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.10046","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51e235ba557485158ea0cf74196e8fa09b18ee361f5badb00def5870887cff7c","sha256:bb055acd5e55349b0c218c28b088f3e06fd4b7fefb3cc97ff7fd40147d64c6ae"],"state_sha256":"952ef2e2c608546c26706564c9aa634252688201c82f961a3ff5567a4615057d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aFNbBHqbhq+q4mzdQr96fjZIW17golCo7HIWhpaf2xyhh78hMz5CgZAEWK5h5lzUUzsWozaGTs/kTCO/WclyDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T06:57:53.683599Z","bundle_sha256":"7eef02af10b553d611c5461933eef2a43d3ef59bd1aef4a68b3e84308b43cbe1"}}