{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SLNBFJ62WOJKHON4XUGNYOX7UA","short_pith_number":"pith:SLNBFJ62","canonical_record":{"source":{"id":"1211.2655","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-11-08T10:51:39Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"35822cf79f24abef6a9e0afaa6d8d9ed8d62ed2028127286da153287c8b89a29","abstract_canon_sha256":"dffd0038eb1cd046ca2ab80ad3b428cfe6a10e54184349d49ef572fce8bacc38"},"schema_version":"1.0"},"canonical_sha256":"92da12a7dab392a3b9bcbd0cdc3affa0065d468dbaff6535195517409c3bc52d","source":{"kind":"arxiv","id":"1211.2655","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2655","created_at":"2026-05-18T03:27:32Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2655v2","created_at":"2026-05-18T03:27:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2655","created_at":"2026-05-18T03:27:32Z"},{"alias_kind":"pith_short_12","alias_value":"SLNBFJ62WOJK","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SLNBFJ62WOJKHON4","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SLNBFJ62","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SLNBFJ62WOJKHON4XUGNYOX7UA","target":"record","payload":{"canonical_record":{"source":{"id":"1211.2655","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-11-08T10:51:39Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"35822cf79f24abef6a9e0afaa6d8d9ed8d62ed2028127286da153287c8b89a29","abstract_canon_sha256":"dffd0038eb1cd046ca2ab80ad3b428cfe6a10e54184349d49ef572fce8bacc38"},"schema_version":"1.0"},"canonical_sha256":"92da12a7dab392a3b9bcbd0cdc3affa0065d468dbaff6535195517409c3bc52d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:32.458902Z","signature_b64":"iYo3YwAzvIsCkglZIaxawkTwQiRMzg30i/xb+VR9N2zoZphV+XoMVazojTeWfkrGru+b62BxiCDgwCJlOIFLAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92da12a7dab392a3b9bcbd0cdc3affa0065d468dbaff6535195517409c3bc52d","last_reissued_at":"2026-05-18T03:27:32.458431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:32.458431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.2655","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:27:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MDwlGuiSxgeoCGjjaGys7LTs0TyhMJSVGU5UnbRruGcGpZzHRDOqPTUeEV0vLnad8L5X9b3ULamnZv1L4rpHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:43:07.951113Z"},"content_sha256":"0f0d766a433e3f9ffaafac58dcb62c8f155944029bc912a47537063a6887e20e","schema_version":"1.0","event_id":"sha256:0f0d766a433e3f9ffaafac58dcb62c8f155944029bc912a47537063a6887e20e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SLNBFJ62WOJKHON4XUGNYOX7UA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The role of the Riemann-Silberstein vector in classical and quantum theories of electromagnetism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.class-ph","authors_text":"Iwo Bialynicki-Birula, Zofia Bialynicka-Birula","submitted_at":"2012-11-08T10:51:39Z","abstract_excerpt":"It is shown that the use of the Riemann-Silberstein (RS) vector greatly simplifies the description of the electromagnetic field both in the classical domain and in the quantum domain. In this review we describe many specific examples where this vector enables one to significantly shorten the derivations and make them more transparent. We also argue why the RS vector may be considered as the best possible choice for the photon wave function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2655","kind":"arxiv","version":2},"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":"2026-05-18T03:27:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ymGVkKaUYHe6r/m9Ot6mRvH+QFkLz3AQ0BJYM10bTZ67UIEMi4a8Swpe+/L7xmrhIkigj0oWL1j4MzstR7mKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:43:07.952000Z"},"content_sha256":"0d3d722b31a9320dcfe3e75d42be59b8c3712f61e03af5ae3a97477bc00135e4","schema_version":"1.0","event_id":"sha256:0d3d722b31a9320dcfe3e75d42be59b8c3712f61e03af5ae3a97477bc00135e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SLNBFJ62WOJKHON4XUGNYOX7UA/bundle.json","state_url":"https://pith.science/pith/SLNBFJ62WOJKHON4XUGNYOX7UA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SLNBFJ62WOJKHON4XUGNYOX7UA/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":"2026-05-31T23:43:07Z","links":{"resolver":"https://pith.science/pith/SLNBFJ62WOJKHON4XUGNYOX7UA","bundle":"https://pith.science/pith/SLNBFJ62WOJKHON4XUGNYOX7UA/bundle.json","state":"https://pith.science/pith/SLNBFJ62WOJKHON4XUGNYOX7UA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SLNBFJ62WOJKHON4XUGNYOX7UA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SLNBFJ62WOJKHON4XUGNYOX7UA","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":"dffd0038eb1cd046ca2ab80ad3b428cfe6a10e54184349d49ef572fce8bacc38","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-11-08T10:51:39Z","title_canon_sha256":"35822cf79f24abef6a9e0afaa6d8d9ed8d62ed2028127286da153287c8b89a29"},"schema_version":"1.0","source":{"id":"1211.2655","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2655","created_at":"2026-05-18T03:27:32Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2655v2","created_at":"2026-05-18T03:27:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2655","created_at":"2026-05-18T03:27:32Z"},{"alias_kind":"pith_short_12","alias_value":"SLNBFJ62WOJK","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SLNBFJ62WOJKHON4","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SLNBFJ62","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:0d3d722b31a9320dcfe3e75d42be59b8c3712f61e03af5ae3a97477bc00135e4","target":"graph","created_at":"2026-05-18T03:27:32Z","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":"It is shown that the use of the Riemann-Silberstein (RS) vector greatly simplifies the description of the electromagnetic field both in the classical domain and in the quantum domain. In this review we describe many specific examples where this vector enables one to significantly shorten the derivations and make them more transparent. We also argue why the RS vector may be considered as the best possible choice for the photon wave function.","authors_text":"Iwo Bialynicki-Birula, Zofia Bialynicka-Birula","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-11-08T10:51:39Z","title":"The role of the Riemann-Silberstein vector in classical and quantum theories of electromagnetism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2655","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":"sha256:0f0d766a433e3f9ffaafac58dcb62c8f155944029bc912a47537063a6887e20e","target":"record","created_at":"2026-05-18T03:27:32Z","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":"dffd0038eb1cd046ca2ab80ad3b428cfe6a10e54184349d49ef572fce8bacc38","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-11-08T10:51:39Z","title_canon_sha256":"35822cf79f24abef6a9e0afaa6d8d9ed8d62ed2028127286da153287c8b89a29"},"schema_version":"1.0","source":{"id":"1211.2655","kind":"arxiv","version":2}},"canonical_sha256":"92da12a7dab392a3b9bcbd0cdc3affa0065d468dbaff6535195517409c3bc52d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92da12a7dab392a3b9bcbd0cdc3affa0065d468dbaff6535195517409c3bc52d","first_computed_at":"2026-05-18T03:27:32.458431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:32.458431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iYo3YwAzvIsCkglZIaxawkTwQiRMzg30i/xb+VR9N2zoZphV+XoMVazojTeWfkrGru+b62BxiCDgwCJlOIFLAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:32.458902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2655","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f0d766a433e3f9ffaafac58dcb62c8f155944029bc912a47537063a6887e20e","sha256:0d3d722b31a9320dcfe3e75d42be59b8c3712f61e03af5ae3a97477bc00135e4"],"state_sha256":"d04f0c39976b8f31eb528a5db949ec06b9372d7e0840e9b11a7375c3e09db5c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u3Dr8NInXh3/j4T+Ryo+oeRyTdQ50x14zfJjp+Z+N1T52+vjmoUD0YgGEis6BnnOxwk4wYHZaxA1Jt6TOuCGAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:43:07.956723Z","bundle_sha256":"ccc3f945693db12b63c501284e3218935f48746ebef17470977bd9cc0343a34e"}}