{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:6UL2C2UERVYJE6FQ44EZ7KSDTH","short_pith_number":"pith:6UL2C2UE","canonical_record":{"source":{"id":"0904.2125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2009-04-14T14:03:49Z","cross_cats_sorted":[],"title_canon_sha256":"6fd161a1220333c911d222a8f1639b7709c485956f13f19aa45c28cb1a11e5c0","abstract_canon_sha256":"7d9029bf686090205baf7c53924f9c0d80dfc7ddf2a923d7c5c461eebdbef008"},"schema_version":"1.0"},"canonical_sha256":"f517a16a848d709278b0e7099faa4399c097512cb40385f2b650224ecbf795bb","source":{"kind":"arxiv","id":"0904.2125","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.2125","created_at":"2026-05-18T02:14:06Z"},{"alias_kind":"arxiv_version","alias_value":"0904.2125v1","created_at":"2026-05-18T02:14:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2125","created_at":"2026-05-18T02:14:06Z"},{"alias_kind":"pith_short_12","alias_value":"6UL2C2UERVYJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6UL2C2UERVYJE6FQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6UL2C2UE","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:6UL2C2UERVYJE6FQ44EZ7KSDTH","target":"record","payload":{"canonical_record":{"source":{"id":"0904.2125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2009-04-14T14:03:49Z","cross_cats_sorted":[],"title_canon_sha256":"6fd161a1220333c911d222a8f1639b7709c485956f13f19aa45c28cb1a11e5c0","abstract_canon_sha256":"7d9029bf686090205baf7c53924f9c0d80dfc7ddf2a923d7c5c461eebdbef008"},"schema_version":"1.0"},"canonical_sha256":"f517a16a848d709278b0e7099faa4399c097512cb40385f2b650224ecbf795bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:06.076582Z","signature_b64":"1ygrIg1W6c20u/x9NGs+RLqFfgg1C29MBCmbuNfFE7X4Ab/VF87N7EvXiygIKsVx+Cy217HMzKvlzMzi6bU0Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f517a16a848d709278b0e7099faa4399c097512cb40385f2b650224ecbf795bb","last_reissued_at":"2026-05-18T02:14:06.076186Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:06.076186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.2125","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":"2026-05-18T02:14:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MFbWTkm9YA7uHQVwJc70z0ViiPSBIbUGJZULwjnfNfPVs+vrdD6Xw3QuQBZAbJV3lxGXcffFM30iBB86zgQrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:35:23.147748Z"},"content_sha256":"4caf9df619e3ebc140da0ccc5e7609a126a5acad8f7bf52f7fbd9c142c7fe167","schema_version":"1.0","event_id":"sha256:4caf9df619e3ebc140da0ccc5e7609a126a5acad8f7bf52f7fbd9c142c7fe167"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:6UL2C2UERVYJE6FQ44EZ7KSDTH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistically expanding cylindrical electromagnetic fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"(Institute of Astronomy, K.N. Gourgouliatos, University of Cambridge)","submitted_at":"2009-04-14T14:03:49Z","abstract_excerpt":"We study relativistically expanding electromagnetic fields of cylindrical geometry. The fields emerge from the side surface of a cylinder and are invariant under translations parallel to the axis of the cylinder. The expansion velocity is in the radial direction and is parametrized by $v=R/(ct)$. We consider force-free magnetic fields by setting the total force the electromagnetic field exerts on the charges and the currents equal to zero. Analytical and semi-analytical separable solutions are found for the relativistic problem. In the non-relativistic limit the mathematical form of the equati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2125","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":"2026-05-18T02:14:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oIIASRlem3fQgXuauzV5f5sjnyVFTvBKwUWmlnDoHLZWPfsza8KDizN+A9xU+YbfCPSxFvNKDnjiPRDj2w/KBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:35:23.148564Z"},"content_sha256":"816783aa7194fd83432851e0b8c56069e6bd6d6fce372e3ea05bf12c0d1ed16d","schema_version":"1.0","event_id":"sha256:816783aa7194fd83432851e0b8c56069e6bd6d6fce372e3ea05bf12c0d1ed16d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6UL2C2UERVYJE6FQ44EZ7KSDTH/bundle.json","state_url":"https://pith.science/pith/6UL2C2UERVYJE6FQ44EZ7KSDTH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6UL2C2UERVYJE6FQ44EZ7KSDTH/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":"2026-05-31T16:35:23Z","links":{"resolver":"https://pith.science/pith/6UL2C2UERVYJE6FQ44EZ7KSDTH","bundle":"https://pith.science/pith/6UL2C2UERVYJE6FQ44EZ7KSDTH/bundle.json","state":"https://pith.science/pith/6UL2C2UERVYJE6FQ44EZ7KSDTH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6UL2C2UERVYJE6FQ44EZ7KSDTH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:6UL2C2UERVYJE6FQ44EZ7KSDTH","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":"7d9029bf686090205baf7c53924f9c0d80dfc7ddf2a923d7c5c461eebdbef008","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2009-04-14T14:03:49Z","title_canon_sha256":"6fd161a1220333c911d222a8f1639b7709c485956f13f19aa45c28cb1a11e5c0"},"schema_version":"1.0","source":{"id":"0904.2125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.2125","created_at":"2026-05-18T02:14:06Z"},{"alias_kind":"arxiv_version","alias_value":"0904.2125v1","created_at":"2026-05-18T02:14:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2125","created_at":"2026-05-18T02:14:06Z"},{"alias_kind":"pith_short_12","alias_value":"6UL2C2UERVYJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6UL2C2UERVYJE6FQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6UL2C2UE","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:816783aa7194fd83432851e0b8c56069e6bd6d6fce372e3ea05bf12c0d1ed16d","target":"graph","created_at":"2026-05-18T02:14:06Z","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":"We study relativistically expanding electromagnetic fields of cylindrical geometry. The fields emerge from the side surface of a cylinder and are invariant under translations parallel to the axis of the cylinder. The expansion velocity is in the radial direction and is parametrized by $v=R/(ct)$. We consider force-free magnetic fields by setting the total force the electromagnetic field exerts on the charges and the currents equal to zero. Analytical and semi-analytical separable solutions are found for the relativistic problem. In the non-relativistic limit the mathematical form of the equati","authors_text":"(Institute of Astronomy, K.N. Gourgouliatos, University of Cambridge)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2009-04-14T14:03:49Z","title":"Relativistically expanding cylindrical electromagnetic fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2125","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":"sha256:4caf9df619e3ebc140da0ccc5e7609a126a5acad8f7bf52f7fbd9c142c7fe167","target":"record","created_at":"2026-05-18T02:14:06Z","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":"7d9029bf686090205baf7c53924f9c0d80dfc7ddf2a923d7c5c461eebdbef008","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2009-04-14T14:03:49Z","title_canon_sha256":"6fd161a1220333c911d222a8f1639b7709c485956f13f19aa45c28cb1a11e5c0"},"schema_version":"1.0","source":{"id":"0904.2125","kind":"arxiv","version":1}},"canonical_sha256":"f517a16a848d709278b0e7099faa4399c097512cb40385f2b650224ecbf795bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f517a16a848d709278b0e7099faa4399c097512cb40385f2b650224ecbf795bb","first_computed_at":"2026-05-18T02:14:06.076186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:06.076186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ygrIg1W6c20u/x9NGs+RLqFfgg1C29MBCmbuNfFE7X4Ab/VF87N7EvXiygIKsVx+Cy217HMzKvlzMzi6bU0Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:06.076582Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.2125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4caf9df619e3ebc140da0ccc5e7609a126a5acad8f7bf52f7fbd9c142c7fe167","sha256:816783aa7194fd83432851e0b8c56069e6bd6d6fce372e3ea05bf12c0d1ed16d"],"state_sha256":"bb3999d6e5575c4f058a41da9818d9882b7e56a6df2918fcff83229fb0419811"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"92j1Of688sle6jROXPFoXScLdgdXD+CY34kAy+w0skKV+J+O3qrUdCBPa2RmNz5q2kzbgnQLacsUJbUeFCBgAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T16:35:23.153955Z","bundle_sha256":"0f6f58e1e8cf7f81c3fe6d63f15dce172bd54dcedec16b937461a2bdf85f35a5"}}