{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AKOKEFJGWQJGZ7KU6G76UX4CZJ","short_pith_number":"pith:AKOKEFJG","canonical_record":{"source":{"id":"1305.5210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-04-30T07:04:19Z","cross_cats_sorted":[],"title_canon_sha256":"dd483265435108ecbe6ec10432f769faefada521e0b928afbf3fa54d89dd687d","abstract_canon_sha256":"61eabf8c7f5e5906c56a0c5d599327ff99a9baecf818f1a2b75d2f1ad0dadd45"},"schema_version":"1.0"},"canonical_sha256":"029ca21526b4126cfd54f1bfea5f82ca72fc799e97b5cc8700a12cca7de25890","source":{"kind":"arxiv","id":"1305.5210","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5210","created_at":"2026-05-18T03:25:06Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5210v1","created_at":"2026-05-18T03:25:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5210","created_at":"2026-05-18T03:25:06Z"},{"alias_kind":"pith_short_12","alias_value":"AKOKEFJGWQJG","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AKOKEFJGWQJGZ7KU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AKOKEFJG","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AKOKEFJGWQJGZ7KU6G76UX4CZJ","target":"record","payload":{"canonical_record":{"source":{"id":"1305.5210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-04-30T07:04:19Z","cross_cats_sorted":[],"title_canon_sha256":"dd483265435108ecbe6ec10432f769faefada521e0b928afbf3fa54d89dd687d","abstract_canon_sha256":"61eabf8c7f5e5906c56a0c5d599327ff99a9baecf818f1a2b75d2f1ad0dadd45"},"schema_version":"1.0"},"canonical_sha256":"029ca21526b4126cfd54f1bfea5f82ca72fc799e97b5cc8700a12cca7de25890","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:06.527093Z","signature_b64":"3UZ+h0ADtJRK7V7OmyCSDpeV92lAZ9YiiEDmopiunNyy9Xi9onb0P/1clAJC5megrlOeNRlxIJ8eO/jBzh/oAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"029ca21526b4126cfd54f1bfea5f82ca72fc799e97b5cc8700a12cca7de25890","last_reissued_at":"2026-05-18T03:25:06.526596Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:06.526596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.5210","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":"2026-05-18T03:25:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XA0ZfJfol2L5pUIA1/3c1ZVTYFGvdEPxgT+ppDXxeDNZja8akENViLTtf/38WvjyVRgOwn5+KQ57O+866fruCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:13:14.293645Z"},"content_sha256":"23a660c47284bad462ffa8255156a195ec805b6c4da7c0d0ba05220387691aec","schema_version":"1.0","event_id":"sha256:23a660c47284bad462ffa8255156a195ec805b6c4da7c0d0ba05220387691aec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AKOKEFJGWQJGZ7KU6G76UX4CZJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The wave-function description of the electromagnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Yaakov Friedman","submitted_at":"2013-04-30T07:04:19Z","abstract_excerpt":"For an arbitrary electromagnetic field, we define a prepotential $S$, which is a complex-valued function of spacetime. The prepotential is a modification of the two scalar potential functions introduced by E. T. Whittaker. The prepotential is Lorentz covariant under a spin half representation. For a moving charge and any observer, we obtain a complex dimensionless scalar. The prepotential is a function of this dimensionless scalar. The prepotential $S$ of an arbitrary electromagnetic field is described as an integral over the charges generating the field. The Faraday vector at each point may b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5210","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":"2026-05-18T03:25:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OInVILCSa6SFbGkszGOjwGU3GGEo7/dzdBt+dZCzxcl7cF7tK+ZMKcAYnIzNGU50x8jjMD3313rhqzev3tUAAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:13:14.294358Z"},"content_sha256":"df529be22b27b72e7b8fdf80da5359f2e71e900d7919a2cbbcf6ed1bf280f356","schema_version":"1.0","event_id":"sha256:df529be22b27b72e7b8fdf80da5359f2e71e900d7919a2cbbcf6ed1bf280f356"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKOKEFJGWQJGZ7KU6G76UX4CZJ/bundle.json","state_url":"https://pith.science/pith/AKOKEFJGWQJGZ7KU6G76UX4CZJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKOKEFJGWQJGZ7KU6G76UX4CZJ/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":"2026-06-12T03:13:14Z","links":{"resolver":"https://pith.science/pith/AKOKEFJGWQJGZ7KU6G76UX4CZJ","bundle":"https://pith.science/pith/AKOKEFJGWQJGZ7KU6G76UX4CZJ/bundle.json","state":"https://pith.science/pith/AKOKEFJGWQJGZ7KU6G76UX4CZJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKOKEFJGWQJGZ7KU6G76UX4CZJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AKOKEFJGWQJGZ7KU6G76UX4CZJ","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":"61eabf8c7f5e5906c56a0c5d599327ff99a9baecf818f1a2b75d2f1ad0dadd45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-04-30T07:04:19Z","title_canon_sha256":"dd483265435108ecbe6ec10432f769faefada521e0b928afbf3fa54d89dd687d"},"schema_version":"1.0","source":{"id":"1305.5210","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5210","created_at":"2026-05-18T03:25:06Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5210v1","created_at":"2026-05-18T03:25:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5210","created_at":"2026-05-18T03:25:06Z"},{"alias_kind":"pith_short_12","alias_value":"AKOKEFJGWQJG","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AKOKEFJGWQJGZ7KU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AKOKEFJG","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:df529be22b27b72e7b8fdf80da5359f2e71e900d7919a2cbbcf6ed1bf280f356","target":"graph","created_at":"2026-05-18T03:25:06Z","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":"For an arbitrary electromagnetic field, we define a prepotential $S$, which is a complex-valued function of spacetime. The prepotential is a modification of the two scalar potential functions introduced by E. T. Whittaker. The prepotential is Lorentz covariant under a spin half representation. For a moving charge and any observer, we obtain a complex dimensionless scalar. The prepotential is a function of this dimensionless scalar. The prepotential $S$ of an arbitrary electromagnetic field is described as an integral over the charges generating the field. The Faraday vector at each point may b","authors_text":"Yaakov Friedman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-04-30T07:04:19Z","title":"The wave-function description of the electromagnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5210","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":"sha256:23a660c47284bad462ffa8255156a195ec805b6c4da7c0d0ba05220387691aec","target":"record","created_at":"2026-05-18T03:25:06Z","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":"61eabf8c7f5e5906c56a0c5d599327ff99a9baecf818f1a2b75d2f1ad0dadd45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-04-30T07:04:19Z","title_canon_sha256":"dd483265435108ecbe6ec10432f769faefada521e0b928afbf3fa54d89dd687d"},"schema_version":"1.0","source":{"id":"1305.5210","kind":"arxiv","version":1}},"canonical_sha256":"029ca21526b4126cfd54f1bfea5f82ca72fc799e97b5cc8700a12cca7de25890","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"029ca21526b4126cfd54f1bfea5f82ca72fc799e97b5cc8700a12cca7de25890","first_computed_at":"2026-05-18T03:25:06.526596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:06.526596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3UZ+h0ADtJRK7V7OmyCSDpeV92lAZ9YiiEDmopiunNyy9Xi9onb0P/1clAJC5megrlOeNRlxIJ8eO/jBzh/oAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:06.527093Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5210","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23a660c47284bad462ffa8255156a195ec805b6c4da7c0d0ba05220387691aec","sha256:df529be22b27b72e7b8fdf80da5359f2e71e900d7919a2cbbcf6ed1bf280f356"],"state_sha256":"a3e6c7348e6da63f61edee3a6ff1fa4b114abe4f28709591d47a33ae5e33b14e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NCGxKuGau6n+6Tr+NCQ/nuHAmsc1b7/WIxC/3ktWIsYV+RQJ6oueWgfQDNYv/13mZFdn1BIZb7hghVu639GtBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:13:14.299300Z","bundle_sha256":"42837bf773a5b7eac0709907d70d3c66436b02d5c6e82f6b601bed7e68766d9c"}}