{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7NHVT72CVCHRN6CRRIS6RZCFXL","short_pith_number":"pith:7NHVT72C","canonical_record":{"source":{"id":"1308.3179","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-14T17:21:30Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"d188558b8b32676578e213a60e8118c16c4f24ffea452e7d655367bf64dc3837","abstract_canon_sha256":"045826f79008a59e0129c687c9075748239e5132aa658b6ae762558cd102ef81"},"schema_version":"1.0"},"canonical_sha256":"fb4f59ff42a88f16f8518a25e8e445baee5650b3b3e3d45de2f2a89c5c947cc9","source":{"kind":"arxiv","id":"1308.3179","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3179","created_at":"2026-05-18T02:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3179v2","created_at":"2026-05-18T02:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3179","created_at":"2026-05-18T02:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"7NHVT72CVCHR","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7NHVT72CVCHRN6CR","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7NHVT72C","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7NHVT72CVCHRN6CRRIS6RZCFXL","target":"record","payload":{"canonical_record":{"source":{"id":"1308.3179","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-14T17:21:30Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"d188558b8b32676578e213a60e8118c16c4f24ffea452e7d655367bf64dc3837","abstract_canon_sha256":"045826f79008a59e0129c687c9075748239e5132aa658b6ae762558cd102ef81"},"schema_version":"1.0"},"canonical_sha256":"fb4f59ff42a88f16f8518a25e8e445baee5650b3b3e3d45de2f2a89c5c947cc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:51.814023Z","signature_b64":"rQ/7D931vOZlYLrI+HJh9D4yV9PYht8WRV53QscAkYmELNWRM1oyj3b5DxW78Ft9JldLER8McPv5VPVsjAdOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb4f59ff42a88f16f8518a25e8e445baee5650b3b3e3d45de2f2a89c5c947cc9","last_reissued_at":"2026-05-18T02:50:51.813581Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:51.813581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.3179","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":"2026-05-18T02:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aYTCTbjSWbVc5sysYgwNOlsuQIlbLYC8CCcrUzVMB4uYoDPFWtAUkCfK94d8k/I+5rDhljH5ZH++dEh3ShNzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T14:58:08.902751Z"},"content_sha256":"bbcdc5b1a2ce0e7a6a35fa8b1c44e12cbb1d37c0ac22924714e8eaaf80353d0e","schema_version":"1.0","event_id":"sha256:bbcdc5b1a2ce0e7a6a35fa8b1c44e12cbb1d37c0ac22924714e8eaaf80353d0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7NHVT72CVCHRN6CRRIS6RZCFXL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stable pseudoanalytical computation of electromagnetic fields from arbitrarily-oriented dipoles in cylindrically stratified media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"B. Donderici, F. L. Teixeira, H. Moon","submitted_at":"2013-08-14T17:21:30Z","abstract_excerpt":"Computation of electromagnetic fields due to point sources (Hertzian dipoles) in cylindrically stratified media is a classical problem for which analytical expressions of the associated tensor Green's function have been long known. However, under finite-precision arithmetic, direct numerical computations based on the application of such analytical (canonical) expressions invariably lead to underflow and overflow problems related to the poor scaling of the eigenfunctions (cylindrical Bessel and Hankel functions) for extreme arguments and/or high-order, as well as convergence problems related to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3179","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":"2026-05-18T02:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tv1XAEgaEjT3dzfxya+BJu+CM9MBO6CcX94zfIX+vSe1foZM/5l1L5oNIFWZTeKv7tzStDIvYZqMsezXxDQiBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T14:58:08.903087Z"},"content_sha256":"1bff20be959acda7e7004845521f0f2fb89919d957989b3a5d5e8bace589c92f","schema_version":"1.0","event_id":"sha256:1bff20be959acda7e7004845521f0f2fb89919d957989b3a5d5e8bace589c92f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7NHVT72CVCHRN6CRRIS6RZCFXL/bundle.json","state_url":"https://pith.science/pith/7NHVT72CVCHRN6CRRIS6RZCFXL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7NHVT72CVCHRN6CRRIS6RZCFXL/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":"2026-06-30T14:58:08Z","links":{"resolver":"https://pith.science/pith/7NHVT72CVCHRN6CRRIS6RZCFXL","bundle":"https://pith.science/pith/7NHVT72CVCHRN6CRRIS6RZCFXL/bundle.json","state":"https://pith.science/pith/7NHVT72CVCHRN6CRRIS6RZCFXL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7NHVT72CVCHRN6CRRIS6RZCFXL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7NHVT72CVCHRN6CRRIS6RZCFXL","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":"045826f79008a59e0129c687c9075748239e5132aa658b6ae762558cd102ef81","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-14T17:21:30Z","title_canon_sha256":"d188558b8b32676578e213a60e8118c16c4f24ffea452e7d655367bf64dc3837"},"schema_version":"1.0","source":{"id":"1308.3179","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3179","created_at":"2026-05-18T02:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3179v2","created_at":"2026-05-18T02:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3179","created_at":"2026-05-18T02:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"7NHVT72CVCHR","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7NHVT72CVCHRN6CR","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7NHVT72C","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:1bff20be959acda7e7004845521f0f2fb89919d957989b3a5d5e8bace589c92f","target":"graph","created_at":"2026-05-18T02:50:51Z","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":"Computation of electromagnetic fields due to point sources (Hertzian dipoles) in cylindrically stratified media is a classical problem for which analytical expressions of the associated tensor Green's function have been long known. However, under finite-precision arithmetic, direct numerical computations based on the application of such analytical (canonical) expressions invariably lead to underflow and overflow problems related to the poor scaling of the eigenfunctions (cylindrical Bessel and Hankel functions) for extreme arguments and/or high-order, as well as convergence problems related to","authors_text":"B. Donderici, F. L. Teixeira, H. Moon","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-14T17:21:30Z","title":"Stable pseudoanalytical computation of electromagnetic fields from arbitrarily-oriented dipoles in cylindrically stratified media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3179","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:bbcdc5b1a2ce0e7a6a35fa8b1c44e12cbb1d37c0ac22924714e8eaaf80353d0e","target":"record","created_at":"2026-05-18T02:50:51Z","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":"045826f79008a59e0129c687c9075748239e5132aa658b6ae762558cd102ef81","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-14T17:21:30Z","title_canon_sha256":"d188558b8b32676578e213a60e8118c16c4f24ffea452e7d655367bf64dc3837"},"schema_version":"1.0","source":{"id":"1308.3179","kind":"arxiv","version":2}},"canonical_sha256":"fb4f59ff42a88f16f8518a25e8e445baee5650b3b3e3d45de2f2a89c5c947cc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb4f59ff42a88f16f8518a25e8e445baee5650b3b3e3d45de2f2a89c5c947cc9","first_computed_at":"2026-05-18T02:50:51.813581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:51.813581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rQ/7D931vOZlYLrI+HJh9D4yV9PYht8WRV53QscAkYmELNWRM1oyj3b5DxW78Ft9JldLER8McPv5VPVsjAdOCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:51.814023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.3179","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbcdc5b1a2ce0e7a6a35fa8b1c44e12cbb1d37c0ac22924714e8eaaf80353d0e","sha256:1bff20be959acda7e7004845521f0f2fb89919d957989b3a5d5e8bace589c92f"],"state_sha256":"e9850a7a775a4b265c27bb9dc6b9d5d0e5ced728f8d1c0c5e13cfe8939b49c67"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VoPKc5IyCeWgauTf4FnkdgjRZ04SHyXlnpTSbhGH9f+mohA6j9VBkpJk5DabdyYVQtIdZmJtpZ5CUclSruXgBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T14:58:08.904931Z","bundle_sha256":"f2b14236d5b6caf7e13fd037c1cc2298c4040b9c9e5d62205eab72ddcdfc71a3"}}