{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZZKMXOBLQKQKHYAPKG2T66QYXE","short_pith_number":"pith:ZZKMXOBL","canonical_record":{"source":{"id":"1806.10720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-06-28T00:33:53Z","cross_cats_sorted":[],"title_canon_sha256":"72eba8d064aa43c8efe36ec5ebee1449fe59becb3a4eeda6cc21c806d654d455","abstract_canon_sha256":"acee58400fc8b06ce9f31435b90b0585ea9f1fee546f6b1549acc157d0b6134e"},"schema_version":"1.0"},"canonical_sha256":"ce54cbb82b82a0a3e00f51b53f7a18b9309aa2012ce49d252243ea6efeb37bea","source":{"kind":"arxiv","id":"1806.10720","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10720","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10720v1","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10720","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"ZZKMXOBLQKQK","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZZKMXOBLQKQKHYAP","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZZKMXOBL","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZZKMXOBLQKQKHYAPKG2T66QYXE","target":"record","payload":{"canonical_record":{"source":{"id":"1806.10720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-06-28T00:33:53Z","cross_cats_sorted":[],"title_canon_sha256":"72eba8d064aa43c8efe36ec5ebee1449fe59becb3a4eeda6cc21c806d654d455","abstract_canon_sha256":"acee58400fc8b06ce9f31435b90b0585ea9f1fee546f6b1549acc157d0b6134e"},"schema_version":"1.0"},"canonical_sha256":"ce54cbb82b82a0a3e00f51b53f7a18b9309aa2012ce49d252243ea6efeb37bea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:08.184964Z","signature_b64":"h3XbpEEgVAlohbVeM5cXfrynrcziyPBsqJUm0AI9kOuTqQzzxr5ou7ylWxhxgzrPVdPBKIChKyJ6/8kXDSPUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce54cbb82b82a0a3e00f51b53f7a18b9309aa2012ce49d252243ea6efeb37bea","last_reissued_at":"2026-05-18T00:12:08.184376Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:08.184376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.10720","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":"2026-05-18T00:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cIXJllvy+nm+oRqxL0c5R8turB5VXSxJ/17cSFFa3H4OxdQcH2tJDGEvQgWL+V4Ocor/9/HUKXelyLQgGo6HBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:02:51.169469Z"},"content_sha256":"0d6ca403c758a4dc83b8143bb93d2dcc622f09e73a17fb811d40f2c1936077ac","schema_version":"1.0","event_id":"sha256:0d6ca403c758a4dc83b8143bb93d2dcc622f09e73a17fb811d40f2c1936077ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZZKMXOBLQKQKHYAPKG2T66QYXE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric approach of degree of polarization in 3D polarimetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Jianhong Zhou, P. J. Bryanston-Cross, Wenjun He, Yahong Li, Yan Li, Yuegang Fu, Yu Zhao, Zhiying Liu","submitted_at":"2018-06-28T00:33:53Z","abstract_excerpt":"The geometric approach presented in this paper concerns the degree of polarization (DoP) of a random 3D statistical electromagnetic field. We use that a 3*3 coherency matrix can always be decomposed into an incoherent superposition of three specific coherency matrices, to construct the first orthant of a spherical shell(0<x,y,z<1,sqrt(3)/3<r<1) . For a random 3D statistical electromagnetic field, the polarimetric result of the can be expressed in terms of a point located in the first orthant of this spherical shell physically. Furthermore, based on the intrinsic relationship between the define"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10720","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":"2026-05-18T00:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AfyU/AIGhyq03Ykg70RYaQNRnGhYP639Wiz5U4urWvKxho7vCpcAyZsFn+5quMkvKd21NhoiCM75RBaO9tueCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:02:51.170173Z"},"content_sha256":"47d1ccb2ce6b23da2c3dc228b14aa6bbe7e943f62856fd8359f0b7b25963b7dc","schema_version":"1.0","event_id":"sha256:47d1ccb2ce6b23da2c3dc228b14aa6bbe7e943f62856fd8359f0b7b25963b7dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZZKMXOBLQKQKHYAPKG2T66QYXE/bundle.json","state_url":"https://pith.science/pith/ZZKMXOBLQKQKHYAPKG2T66QYXE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZZKMXOBLQKQKHYAPKG2T66QYXE/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":"2026-06-06T06:02:51Z","links":{"resolver":"https://pith.science/pith/ZZKMXOBLQKQKHYAPKG2T66QYXE","bundle":"https://pith.science/pith/ZZKMXOBLQKQKHYAPKG2T66QYXE/bundle.json","state":"https://pith.science/pith/ZZKMXOBLQKQKHYAPKG2T66QYXE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZZKMXOBLQKQKHYAPKG2T66QYXE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZZKMXOBLQKQKHYAPKG2T66QYXE","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":"acee58400fc8b06ce9f31435b90b0585ea9f1fee546f6b1549acc157d0b6134e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-06-28T00:33:53Z","title_canon_sha256":"72eba8d064aa43c8efe36ec5ebee1449fe59becb3a4eeda6cc21c806d654d455"},"schema_version":"1.0","source":{"id":"1806.10720","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10720","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10720v1","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10720","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"ZZKMXOBLQKQK","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZZKMXOBLQKQKHYAP","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZZKMXOBL","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:47d1ccb2ce6b23da2c3dc228b14aa6bbe7e943f62856fd8359f0b7b25963b7dc","target":"graph","created_at":"2026-05-18T00:12:08Z","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":"The geometric approach presented in this paper concerns the degree of polarization (DoP) of a random 3D statistical electromagnetic field. We use that a 3*3 coherency matrix can always be decomposed into an incoherent superposition of three specific coherency matrices, to construct the first orthant of a spherical shell(0<x,y,z<1,sqrt(3)/3<r<1) . For a random 3D statistical electromagnetic field, the polarimetric result of the can be expressed in terms of a point located in the first orthant of this spherical shell physically. Furthermore, based on the intrinsic relationship between the define","authors_text":"Jianhong Zhou, P. J. Bryanston-Cross, Wenjun He, Yahong Li, Yan Li, Yuegang Fu, Yu Zhao, Zhiying Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-06-28T00:33:53Z","title":"Geometric approach of degree of polarization in 3D polarimetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10720","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":"sha256:0d6ca403c758a4dc83b8143bb93d2dcc622f09e73a17fb811d40f2c1936077ac","target":"record","created_at":"2026-05-18T00:12:08Z","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":"acee58400fc8b06ce9f31435b90b0585ea9f1fee546f6b1549acc157d0b6134e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-06-28T00:33:53Z","title_canon_sha256":"72eba8d064aa43c8efe36ec5ebee1449fe59becb3a4eeda6cc21c806d654d455"},"schema_version":"1.0","source":{"id":"1806.10720","kind":"arxiv","version":1}},"canonical_sha256":"ce54cbb82b82a0a3e00f51b53f7a18b9309aa2012ce49d252243ea6efeb37bea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce54cbb82b82a0a3e00f51b53f7a18b9309aa2012ce49d252243ea6efeb37bea","first_computed_at":"2026-05-18T00:12:08.184376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:08.184376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h3XbpEEgVAlohbVeM5cXfrynrcziyPBsqJUm0AI9kOuTqQzzxr5ou7ylWxhxgzrPVdPBKIChKyJ6/8kXDSPUDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:08.184964Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.10720","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d6ca403c758a4dc83b8143bb93d2dcc622f09e73a17fb811d40f2c1936077ac","sha256:47d1ccb2ce6b23da2c3dc228b14aa6bbe7e943f62856fd8359f0b7b25963b7dc"],"state_sha256":"2b12e720d5ef21b78e9b4a969d5481b35a8e224278db882938fb2c60bbe4c589"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lMx4aRELKceYQNOZhv5qfNg6TwIYTOYlg73dSpUCSXbrBE+HXQzXPDyRspsHgH+eDZQl3So60Q+Kb9yj0TXACg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:02:51.174645Z","bundle_sha256":"92646f071f95ce9f7eed114ae4513cd6754bcc246b4f7cbcdcacdd2aef4cfd91"}}