{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:37XBQGF2SBWY7E6Z3FJBTXEISE","short_pith_number":"pith:37XBQGF2","canonical_record":{"source":{"id":"1801.06253","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-01-18T23:46:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"8d8d200a1ddc0e0ba701dac591ea0812eaa2bc72685926e3df4b6bc22e05d1cb","abstract_canon_sha256":"cd173bb9096a11f246608356717ccdc9d2a7282ecb61573b58bb54efbfc7fd3a"},"schema_version":"1.0"},"canonical_sha256":"dfee1818ba906d8f93d9d95219dc88911ffa51827937da68978af54e3d2fb5ae","source":{"kind":"arxiv","id":"1801.06253","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.06253","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1801.06253v3","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06253","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"37XBQGF2SBWY","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"37XBQGF2SBWY7E6Z","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"37XBQGF2","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:37XBQGF2SBWY7E6Z3FJBTXEISE","target":"record","payload":{"canonical_record":{"source":{"id":"1801.06253","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-01-18T23:46:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"8d8d200a1ddc0e0ba701dac591ea0812eaa2bc72685926e3df4b6bc22e05d1cb","abstract_canon_sha256":"cd173bb9096a11f246608356717ccdc9d2a7282ecb61573b58bb54efbfc7fd3a"},"schema_version":"1.0"},"canonical_sha256":"dfee1818ba906d8f93d9d95219dc88911ffa51827937da68978af54e3d2fb5ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:53.930859Z","signature_b64":"m1uE5Cq+KQTI6Af8fxBqBm34YNaRBDG6S82EwRWsyDKVGcEJzSrDIOtlhRS0V7/wrP8cVbAlvg9voVLqS8czAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfee1818ba906d8f93d9d95219dc88911ffa51827937da68978af54e3d2fb5ae","last_reissued_at":"2026-05-18T00:14:53.930189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:53.930189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.06253","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0bV52UYUEi54tEbCx3cLXZZkEiSgUnPswFXkPTwrQ/6XDlYYv6Rs8aR3fQEcvWFBXJnzxwf3Oz1hTjCFYDutAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:21:17.754309Z"},"content_sha256":"63c27d59d872cc7b66b6f30c0360143556d6d41aeb22c349eb80123b010d6534","schema_version":"1.0","event_id":"sha256:63c27d59d872cc7b66b6f30c0360143556d6d41aeb22c349eb80123b010d6534"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:37XBQGF2SBWY7E6Z3FJBTXEISE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wave-optical treatment of the shadow cast by a large sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"physics.optics","authors_text":"Slava G. Turyshev, Viktor T. Toth","submitted_at":"2018-01-18T23:46:42Z","abstract_excerpt":"We study the electromagnetic (EM) field in the shadow cast by a large opaque sphere. For this, we consider the scattering of a high frequency monochromatic EM wave by the large sphere and develop a Mie theory that accounts for the presence of this obscuration. Applying fully absorbing boundary conditions, we find a solution for the Debye potentials, which we use to determine the EM field in the shadow in the wave zone at large distances from the sphere. We use the standard tools available from the nuclear scattering theory to develop the wave-optical treatment of the problem. Based on this tre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06253","kind":"arxiv","version":3},"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":"2026-05-18T00:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zmL4uF2CQx3qEI/sZofY9Di4gYqXh6MqDyf9PVW875ERFMhVNYyAdATVCfg5TSfpPT3oOxqnuFxHJEDNhopMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:21:17.754711Z"},"content_sha256":"491672e7ccd5064d5f39cf1d48531f3b117b81ed34c060dd5c6b79678a385bb4","schema_version":"1.0","event_id":"sha256:491672e7ccd5064d5f39cf1d48531f3b117b81ed34c060dd5c6b79678a385bb4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/37XBQGF2SBWY7E6Z3FJBTXEISE/bundle.json","state_url":"https://pith.science/pith/37XBQGF2SBWY7E6Z3FJBTXEISE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/37XBQGF2SBWY7E6Z3FJBTXEISE/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":"2026-05-25T21:21:17Z","links":{"resolver":"https://pith.science/pith/37XBQGF2SBWY7E6Z3FJBTXEISE","bundle":"https://pith.science/pith/37XBQGF2SBWY7E6Z3FJBTXEISE/bundle.json","state":"https://pith.science/pith/37XBQGF2SBWY7E6Z3FJBTXEISE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/37XBQGF2SBWY7E6Z3FJBTXEISE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:37XBQGF2SBWY7E6Z3FJBTXEISE","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":"cd173bb9096a11f246608356717ccdc9d2a7282ecb61573b58bb54efbfc7fd3a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-01-18T23:46:42Z","title_canon_sha256":"8d8d200a1ddc0e0ba701dac591ea0812eaa2bc72685926e3df4b6bc22e05d1cb"},"schema_version":"1.0","source":{"id":"1801.06253","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.06253","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1801.06253v3","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06253","created_at":"2026-05-18T00:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"37XBQGF2SBWY","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"37XBQGF2SBWY7E6Z","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"37XBQGF2","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:491672e7ccd5064d5f39cf1d48531f3b117b81ed34c060dd5c6b79678a385bb4","target":"graph","created_at":"2026-05-18T00:14:53Z","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 study the electromagnetic (EM) field in the shadow cast by a large opaque sphere. For this, we consider the scattering of a high frequency monochromatic EM wave by the large sphere and develop a Mie theory that accounts for the presence of this obscuration. Applying fully absorbing boundary conditions, we find a solution for the Debye potentials, which we use to determine the EM field in the shadow in the wave zone at large distances from the sphere. We use the standard tools available from the nuclear scattering theory to develop the wave-optical treatment of the problem. Based on this tre","authors_text":"Slava G. Turyshev, Viktor T. Toth","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-01-18T23:46:42Z","title":"Wave-optical treatment of the shadow cast by a large sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06253","kind":"arxiv","version":3},"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":"sha256:63c27d59d872cc7b66b6f30c0360143556d6d41aeb22c349eb80123b010d6534","target":"record","created_at":"2026-05-18T00:14:53Z","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":"cd173bb9096a11f246608356717ccdc9d2a7282ecb61573b58bb54efbfc7fd3a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-01-18T23:46:42Z","title_canon_sha256":"8d8d200a1ddc0e0ba701dac591ea0812eaa2bc72685926e3df4b6bc22e05d1cb"},"schema_version":"1.0","source":{"id":"1801.06253","kind":"arxiv","version":3}},"canonical_sha256":"dfee1818ba906d8f93d9d95219dc88911ffa51827937da68978af54e3d2fb5ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfee1818ba906d8f93d9d95219dc88911ffa51827937da68978af54e3d2fb5ae","first_computed_at":"2026-05-18T00:14:53.930189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:53.930189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m1uE5Cq+KQTI6Af8fxBqBm34YNaRBDG6S82EwRWsyDKVGcEJzSrDIOtlhRS0V7/wrP8cVbAlvg9voVLqS8czAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:53.930859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.06253","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63c27d59d872cc7b66b6f30c0360143556d6d41aeb22c349eb80123b010d6534","sha256:491672e7ccd5064d5f39cf1d48531f3b117b81ed34c060dd5c6b79678a385bb4"],"state_sha256":"9f3ca8bf71ffeacf99a3a1dd523320c18e898bbeb9ea365c72669bc5249e2917"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cBwbkME2U98DCd2gCLNVdS2X08OL6t1gZN5rsvMXCxLe071riQGss7/iXm3pGQv7xCVc5Q6MnMF2cvvYLjSEAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T21:21:17.757997Z","bundle_sha256":"fce654acbaa4ae107459cccab5084906557df2a40bced73b37cbacf0980cb900"}}