{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:53ZIVMEJBM6Q5OKQRC3PCYD4OE","short_pith_number":"pith:53ZIVMEJ","canonical_record":{"source":{"id":"0912.4684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2009-12-23T18:13:48Z","cross_cats_sorted":[],"title_canon_sha256":"6b575a7fb6d6377dfd21b534d6b73abc2c4193bd06cbc904268ba24badcdeae3","abstract_canon_sha256":"d80ba9a7a4f414fd4a60b982f81625c2b7b222852d2e9b9a7d1ac1464dc170f7"},"schema_version":"1.0"},"canonical_sha256":"eef28ab0890b3d0eb95088b6f1607c71334956502b2349c73788a79f5305607e","source":{"kind":"arxiv","id":"0912.4684","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.4684","created_at":"2026-05-18T02:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"0912.4684v1","created_at":"2026-05-18T02:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.4684","created_at":"2026-05-18T02:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"53ZIVMEJBM6Q","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"53ZIVMEJBM6Q5OKQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"53ZIVMEJ","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:53ZIVMEJBM6Q5OKQRC3PCYD4OE","target":"record","payload":{"canonical_record":{"source":{"id":"0912.4684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2009-12-23T18:13:48Z","cross_cats_sorted":[],"title_canon_sha256":"6b575a7fb6d6377dfd21b534d6b73abc2c4193bd06cbc904268ba24badcdeae3","abstract_canon_sha256":"d80ba9a7a4f414fd4a60b982f81625c2b7b222852d2e9b9a7d1ac1464dc170f7"},"schema_version":"1.0"},"canonical_sha256":"eef28ab0890b3d0eb95088b6f1607c71334956502b2349c73788a79f5305607e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:14.087456Z","signature_b64":"0+VGBnEZdIx8GriVh6c4LMOZhqfuhIpb9wCOKBkQRA1otxJJEPnlPLo5vu5TCoM+LJUmBCK75fFu7aC1wWrRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eef28ab0890b3d0eb95088b6f1607c71334956502b2349c73788a79f5305607e","last_reissued_at":"2026-05-18T02:10:14.086792Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:14.086792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.4684","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":"2026-05-18T02:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pLCcqp4m/5pXitrh6hA5HGk2lZJoNg/sDbS+P2ulP/a7zNj/dHxICRZQwkTzwFkGYSy3ybsU+XwI2LdLkcDaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:53:44.114369Z"},"content_sha256":"edf43f6ba9585c4e82dcb0e8b2896182b6e4d2d57542221caa9de8b006a602d3","schema_version":"1.0","event_id":"sha256:edf43f6ba9585c4e82dcb0e8b2896182b6e4d2d57542221caa9de8b006a602d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:53ZIVMEJBM6Q5OKQRC3PCYD4OE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Singular behaviour of the electromagnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"C. Vrejoiu, R. Zus","submitted_at":"2009-12-23T18:13:48Z","abstract_excerpt":"The singularities of the electromagnetic field are derived to include all the point-like multipoles representing an electric charge and current distribution. Firstly derived in the static case, the result is generalized to the dynamic one. We establish a simple procedure for passing from the first, to the second case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.4684","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":"2026-05-18T02:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tD+T/UL7UmPA2G2usLyexIVrvd84CDMJ2+8VOoY9i+XNw3FRwX8/etNEuxk5nIQceGPMiJldUvcyK4k68n3HDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:53:44.115058Z"},"content_sha256":"74abe5c44b824650c5cf5188854c9b9ae33548d5bf8e16a62e33a360821e4abb","schema_version":"1.0","event_id":"sha256:74abe5c44b824650c5cf5188854c9b9ae33548d5bf8e16a62e33a360821e4abb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/53ZIVMEJBM6Q5OKQRC3PCYD4OE/bundle.json","state_url":"https://pith.science/pith/53ZIVMEJBM6Q5OKQRC3PCYD4OE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/53ZIVMEJBM6Q5OKQRC3PCYD4OE/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":"2026-06-08T01:53:44Z","links":{"resolver":"https://pith.science/pith/53ZIVMEJBM6Q5OKQRC3PCYD4OE","bundle":"https://pith.science/pith/53ZIVMEJBM6Q5OKQRC3PCYD4OE/bundle.json","state":"https://pith.science/pith/53ZIVMEJBM6Q5OKQRC3PCYD4OE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/53ZIVMEJBM6Q5OKQRC3PCYD4OE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:53ZIVMEJBM6Q5OKQRC3PCYD4OE","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":"d80ba9a7a4f414fd4a60b982f81625c2b7b222852d2e9b9a7d1ac1464dc170f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2009-12-23T18:13:48Z","title_canon_sha256":"6b575a7fb6d6377dfd21b534d6b73abc2c4193bd06cbc904268ba24badcdeae3"},"schema_version":"1.0","source":{"id":"0912.4684","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.4684","created_at":"2026-05-18T02:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"0912.4684v1","created_at":"2026-05-18T02:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.4684","created_at":"2026-05-18T02:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"53ZIVMEJBM6Q","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"53ZIVMEJBM6Q5OKQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"53ZIVMEJ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:74abe5c44b824650c5cf5188854c9b9ae33548d5bf8e16a62e33a360821e4abb","target":"graph","created_at":"2026-05-18T02:10:14Z","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 singularities of the electromagnetic field are derived to include all the point-like multipoles representing an electric charge and current distribution. Firstly derived in the static case, the result is generalized to the dynamic one. We establish a simple procedure for passing from the first, to the second case.","authors_text":"C. Vrejoiu, R. Zus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2009-12-23T18:13:48Z","title":"Singular behaviour of the electromagnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.4684","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:edf43f6ba9585c4e82dcb0e8b2896182b6e4d2d57542221caa9de8b006a602d3","target":"record","created_at":"2026-05-18T02:10:14Z","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":"d80ba9a7a4f414fd4a60b982f81625c2b7b222852d2e9b9a7d1ac1464dc170f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2009-12-23T18:13:48Z","title_canon_sha256":"6b575a7fb6d6377dfd21b534d6b73abc2c4193bd06cbc904268ba24badcdeae3"},"schema_version":"1.0","source":{"id":"0912.4684","kind":"arxiv","version":1}},"canonical_sha256":"eef28ab0890b3d0eb95088b6f1607c71334956502b2349c73788a79f5305607e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eef28ab0890b3d0eb95088b6f1607c71334956502b2349c73788a79f5305607e","first_computed_at":"2026-05-18T02:10:14.086792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:14.086792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0+VGBnEZdIx8GriVh6c4LMOZhqfuhIpb9wCOKBkQRA1otxJJEPnlPLo5vu5TCoM+LJUmBCK75fFu7aC1wWrRBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:14.087456Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.4684","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edf43f6ba9585c4e82dcb0e8b2896182b6e4d2d57542221caa9de8b006a602d3","sha256:74abe5c44b824650c5cf5188854c9b9ae33548d5bf8e16a62e33a360821e4abb"],"state_sha256":"e8658b5ef73a363c2f3e93c8e620c2a3a4b627237c6e719bbaadedcd9f3c5aeb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBbjWE0Llwc9jLouOGtH/fG5ll+IozO1NaSLjaP4pNppme1cwByUu4Lmct74U3KUr8wkgMCuI0hs5C9ehsO8DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:53:44.118780Z","bundle_sha256":"24a305caa89f9231a12985d00a0c153615921ecc99e32279fc15e7557bb93ba6"}}