{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OUCKBGZKVOU3QU4ZBK4H4MRWWY","short_pith_number":"pith:OUCKBGZK","canonical_record":{"source":{"id":"1010.1501","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-10-07T18:07:41Z","cross_cats_sorted":[],"title_canon_sha256":"51214c2fbdc4dec5d1a2f312dc1171a1b48c3d832c7ac0491772b8b0154cc2ef","abstract_canon_sha256":"59f37a86c3b432a60f9246e7638029a92427aa5f1beca290be0f9d8551e7eae8"},"schema_version":"1.0"},"canonical_sha256":"7504a09b2aaba9b853990ab87e3236b630da5de172e59f143ae32f6b973d6c85","source":{"kind":"arxiv","id":"1010.1501","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1501","created_at":"2026-05-18T02:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1501v1","created_at":"2026-05-18T02:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1501","created_at":"2026-05-18T02:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"OUCKBGZKVOU3","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OUCKBGZKVOU3QU4Z","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OUCKBGZK","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OUCKBGZKVOU3QU4ZBK4H4MRWWY","target":"record","payload":{"canonical_record":{"source":{"id":"1010.1501","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-10-07T18:07:41Z","cross_cats_sorted":[],"title_canon_sha256":"51214c2fbdc4dec5d1a2f312dc1171a1b48c3d832c7ac0491772b8b0154cc2ef","abstract_canon_sha256":"59f37a86c3b432a60f9246e7638029a92427aa5f1beca290be0f9d8551e7eae8"},"schema_version":"1.0"},"canonical_sha256":"7504a09b2aaba9b853990ab87e3236b630da5de172e59f143ae32f6b973d6c85","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:09.867788Z","signature_b64":"ob+BK0Y4eXaLhQ0semu17HD5oOpH+Wyhupocul0jeSaRPJIoHGoHod4J1wxKvFgbgwb67WjDfA/rjF5gYt6uCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7504a09b2aaba9b853990ab87e3236b630da5de172e59f143ae32f6b973d6c85","last_reissued_at":"2026-05-18T02:05:09.867013Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:09.867013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.1501","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":"2026-05-18T02:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XYgTYpIJdv/XO1fpbMt/AXLq5HDJu9tHUcubCgxUnwYbj1/KM/ymzVqa9Y6YpsL3lWTr2nkngfyVfCLBcJNCDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:21:03.755367Z"},"content_sha256":"29b94dcebe95560e42385e44d45e14ab6873661fd9a120c1f711a7932f023aa4","schema_version":"1.0","event_id":"sha256:29b94dcebe95560e42385e44d45e14ab6873661fd9a120c1f711a7932f023aa4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OUCKBGZKVOU3QU4ZBK4H4MRWWY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coherent Radiation by a Spherical Medium of Resonant Atoms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Roy J. Glauber, Sudhakar Prasad","submitted_at":"2010-10-07T18:07:41Z","abstract_excerpt":"Radiation by the atoms of a resonant medium is a cooperative process in which the medium participates as a whole. In two previous papers \\cite{PG00,GP00}, we treated this problem for the case of a medium having slab geometry, which, under plane wave excitation, supports coherent waves that propagate in one dimension. We extend the treatment here to the three-dimensional problem, focusing principally on the case of spherical geometry. By regarding the radiation field as a superposition of electric and magnetic multipole fields of different orders, we express it in terms of suitably defined scal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1501","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":"2026-05-18T02:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wwg5/QxMjiJwjNK9W6QzSLnGkvgkCZArjl2mmYbP2Uo976TTJ/qmaj+dfWy05svcjorSZX31kQnqFk3QpNdXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:21:03.755715Z"},"content_sha256":"7ca7b300ee7591dac93f4d30a04730852439316d18c2d276ad89325153314e61","schema_version":"1.0","event_id":"sha256:7ca7b300ee7591dac93f4d30a04730852439316d18c2d276ad89325153314e61"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OUCKBGZKVOU3QU4ZBK4H4MRWWY/bundle.json","state_url":"https://pith.science/pith/OUCKBGZKVOU3QU4ZBK4H4MRWWY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OUCKBGZKVOU3QU4ZBK4H4MRWWY/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":"2026-06-02T16:21:03Z","links":{"resolver":"https://pith.science/pith/OUCKBGZKVOU3QU4ZBK4H4MRWWY","bundle":"https://pith.science/pith/OUCKBGZKVOU3QU4ZBK4H4MRWWY/bundle.json","state":"https://pith.science/pith/OUCKBGZKVOU3QU4ZBK4H4MRWWY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OUCKBGZKVOU3QU4ZBK4H4MRWWY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OUCKBGZKVOU3QU4ZBK4H4MRWWY","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":"59f37a86c3b432a60f9246e7638029a92427aa5f1beca290be0f9d8551e7eae8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-10-07T18:07:41Z","title_canon_sha256":"51214c2fbdc4dec5d1a2f312dc1171a1b48c3d832c7ac0491772b8b0154cc2ef"},"schema_version":"1.0","source":{"id":"1010.1501","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1501","created_at":"2026-05-18T02:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1501v1","created_at":"2026-05-18T02:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1501","created_at":"2026-05-18T02:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"OUCKBGZKVOU3","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OUCKBGZKVOU3QU4Z","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OUCKBGZK","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:7ca7b300ee7591dac93f4d30a04730852439316d18c2d276ad89325153314e61","target":"graph","created_at":"2026-05-18T02:05:09Z","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":"Radiation by the atoms of a resonant medium is a cooperative process in which the medium participates as a whole. In two previous papers \\cite{PG00,GP00}, we treated this problem for the case of a medium having slab geometry, which, under plane wave excitation, supports coherent waves that propagate in one dimension. We extend the treatment here to the three-dimensional problem, focusing principally on the case of spherical geometry. By regarding the radiation field as a superposition of electric and magnetic multipole fields of different orders, we express it in terms of suitably defined scal","authors_text":"Roy J. Glauber, Sudhakar Prasad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-10-07T18:07:41Z","title":"Coherent Radiation by a Spherical Medium of Resonant Atoms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1501","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":"sha256:29b94dcebe95560e42385e44d45e14ab6873661fd9a120c1f711a7932f023aa4","target":"record","created_at":"2026-05-18T02:05:09Z","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":"59f37a86c3b432a60f9246e7638029a92427aa5f1beca290be0f9d8551e7eae8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-10-07T18:07:41Z","title_canon_sha256":"51214c2fbdc4dec5d1a2f312dc1171a1b48c3d832c7ac0491772b8b0154cc2ef"},"schema_version":"1.0","source":{"id":"1010.1501","kind":"arxiv","version":1}},"canonical_sha256":"7504a09b2aaba9b853990ab87e3236b630da5de172e59f143ae32f6b973d6c85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7504a09b2aaba9b853990ab87e3236b630da5de172e59f143ae32f6b973d6c85","first_computed_at":"2026-05-18T02:05:09.867013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:09.867013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ob+BK0Y4eXaLhQ0semu17HD5oOpH+Wyhupocul0jeSaRPJIoHGoHod4J1wxKvFgbgwb67WjDfA/rjF5gYt6uCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:09.867788Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1501","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29b94dcebe95560e42385e44d45e14ab6873661fd9a120c1f711a7932f023aa4","sha256:7ca7b300ee7591dac93f4d30a04730852439316d18c2d276ad89325153314e61"],"state_sha256":"4f4a951ce53d8d0369df0efdfb4273ff830f4025f7f71f2c65dbcb465bb7d704"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yoWXkWzXghhZoSr7ocmxzKlBgw3rl5DbtMDBuHPJUiwtUVCEOaj2EqmMBBlzLg40OLPeWmJA7+MbwQcB+2SmCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T16:21:03.757677Z","bundle_sha256":"ff46539f6ba0f7534a6621aa495cd03efdf58133b0447de183e4f5af4799562a"}}