{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:LRCU6O5ZGAJRDBTLRKGUZWCHF4","short_pith_number":"pith:LRCU6O5Z","canonical_record":{"source":{"id":"2209.03545","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-09-08T02:59:49Z","cross_cats_sorted":[],"title_canon_sha256":"f8446e9b83fb26e6ec4ed59ea891c4cb630371d1ce2af11db712f98dbff19b4a","abstract_canon_sha256":"45bdfe75d3c96adc013c6a18ca373e62bbe6089a972e1cebbab7fd6afef37b93"},"schema_version":"1.0"},"canonical_sha256":"5c454f3bb9301311866b8a8d4cd8472f1563c848e3360ae63204ab44368068d1","source":{"kind":"arxiv","id":"2209.03545","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.03545","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"arxiv_version","alias_value":"2209.03545v3","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.03545","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"pith_short_12","alias_value":"LRCU6O5ZGAJR","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"pith_short_16","alias_value":"LRCU6O5ZGAJRDBTL","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"pith_short_8","alias_value":"LRCU6O5Z","created_at":"2026-07-05T06:29:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:LRCU6O5ZGAJRDBTLRKGUZWCHF4","target":"record","payload":{"canonical_record":{"source":{"id":"2209.03545","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-09-08T02:59:49Z","cross_cats_sorted":[],"title_canon_sha256":"f8446e9b83fb26e6ec4ed59ea891c4cb630371d1ce2af11db712f98dbff19b4a","abstract_canon_sha256":"45bdfe75d3c96adc013c6a18ca373e62bbe6089a972e1cebbab7fd6afef37b93"},"schema_version":"1.0"},"canonical_sha256":"5c454f3bb9301311866b8a8d4cd8472f1563c848e3360ae63204ab44368068d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:29:18.572800Z","signature_b64":"81HSjdaolN0N9MkC8SOe5kBebBpcGBvBNhS5EW+aaP+BaNCuAWYX3OzdZRD9rzhmxcckG/ME5Kv4sc+T0dZXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c454f3bb9301311866b8a8d4cd8472f1563c848e3360ae63204ab44368068d1","last_reissued_at":"2026-07-05T06:29:18.572299Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:29:18.572299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.03545","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":"2026-07-05T06:29:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6SlTdXANk334sm73I0hQgYXM1pxBTWbHpwbmrAI+COW1HGKcNjujPUkj+dFU4eUT+CkzqDr0A4TkjUZ5kJfVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-19T11:26:21.596409Z"},"content_sha256":"722920d6d2633805a428ed5999991af298194c657316daca2b183498a1ce6484","schema_version":"1.0","event_id":"sha256:722920d6d2633805a428ed5999991af298194c657316daca2b183498a1ce6484"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:LRCU6O5ZGAJRDBTLRKGUZWCHF4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inflationary magnetogenesis of primordial magnetic fields with multiple vector fields","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Le-Yao Zhang, Yu Li","submitted_at":"2022-09-08T02:59:49Z","abstract_excerpt":"In this paper, we discussed the multiple vector fields during the inflation era and the inflationary magnetogenesis with multiple vector fields. Instead of a single coupling function in single vector field models, the coupling matrix between vector fields and scalar field which drive the inflation is introduced. The dynamical equations for multiple vector fields are obtained and applied to the inflation era. We discussed three cases for the double-field model. In no mutual-coupling case, one can find that both electric and magnetic spectrum can be scale-invariant at the end of inflation, meanw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.03545","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.03545/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:29:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tEaPYzECK1scMVA5a2UyABWKhv4EjMLiv6CuqGaIDewBAkxr6+zzwHlpz5Hz89lT3IviQtBkN6h4mYMU5NyjCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-19T11:26:21.596791Z"},"content_sha256":"d38baaae0ffade4ae0f24261fdcbb18f7c588a99aa1dfaa6eb46d6a10768aa59","schema_version":"1.0","event_id":"sha256:d38baaae0ffade4ae0f24261fdcbb18f7c588a99aa1dfaa6eb46d6a10768aa59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LRCU6O5ZGAJRDBTLRKGUZWCHF4/bundle.json","state_url":"https://pith.science/pith/LRCU6O5ZGAJRDBTLRKGUZWCHF4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LRCU6O5ZGAJRDBTLRKGUZWCHF4/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":"2026-07-19T11:26:21Z","links":{"resolver":"https://pith.science/pith/LRCU6O5ZGAJRDBTLRKGUZWCHF4","bundle":"https://pith.science/pith/LRCU6O5ZGAJRDBTLRKGUZWCHF4/bundle.json","state":"https://pith.science/pith/LRCU6O5ZGAJRDBTLRKGUZWCHF4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LRCU6O5ZGAJRDBTLRKGUZWCHF4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:LRCU6O5ZGAJRDBTLRKGUZWCHF4","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":"45bdfe75d3c96adc013c6a18ca373e62bbe6089a972e1cebbab7fd6afef37b93","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-09-08T02:59:49Z","title_canon_sha256":"f8446e9b83fb26e6ec4ed59ea891c4cb630371d1ce2af11db712f98dbff19b4a"},"schema_version":"1.0","source":{"id":"2209.03545","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.03545","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"arxiv_version","alias_value":"2209.03545v3","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.03545","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"pith_short_12","alias_value":"LRCU6O5ZGAJR","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"pith_short_16","alias_value":"LRCU6O5ZGAJRDBTL","created_at":"2026-07-05T06:29:18Z"},{"alias_kind":"pith_short_8","alias_value":"LRCU6O5Z","created_at":"2026-07-05T06:29:18Z"}],"graph_snapshots":[{"event_id":"sha256:d38baaae0ffade4ae0f24261fdcbb18f7c588a99aa1dfaa6eb46d6a10768aa59","target":"graph","created_at":"2026-07-05T06:29:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2209.03545/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we discussed the multiple vector fields during the inflation era and the inflationary magnetogenesis with multiple vector fields. Instead of a single coupling function in single vector field models, the coupling matrix between vector fields and scalar field which drive the inflation is introduced. The dynamical equations for multiple vector fields are obtained and applied to the inflation era. We discussed three cases for the double-field model. In no mutual-coupling case, one can find that both electric and magnetic spectrum can be scale-invariant at the end of inflation, meanw","authors_text":"Le-Yao Zhang, Yu Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-09-08T02:59:49Z","title":"Inflationary magnetogenesis of primordial magnetic fields with multiple vector fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.03545","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":"sha256:722920d6d2633805a428ed5999991af298194c657316daca2b183498a1ce6484","target":"record","created_at":"2026-07-05T06:29:18Z","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":"45bdfe75d3c96adc013c6a18ca373e62bbe6089a972e1cebbab7fd6afef37b93","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-09-08T02:59:49Z","title_canon_sha256":"f8446e9b83fb26e6ec4ed59ea891c4cb630371d1ce2af11db712f98dbff19b4a"},"schema_version":"1.0","source":{"id":"2209.03545","kind":"arxiv","version":3}},"canonical_sha256":"5c454f3bb9301311866b8a8d4cd8472f1563c848e3360ae63204ab44368068d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c454f3bb9301311866b8a8d4cd8472f1563c848e3360ae63204ab44368068d1","first_computed_at":"2026-07-05T06:29:18.572299Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:29:18.572299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"81HSjdaolN0N9MkC8SOe5kBebBpcGBvBNhS5EW+aaP+BaNCuAWYX3OzdZRD9rzhmxcckG/ME5Kv4sc+T0dZXAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:29:18.572800Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.03545","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:722920d6d2633805a428ed5999991af298194c657316daca2b183498a1ce6484","sha256:d38baaae0ffade4ae0f24261fdcbb18f7c588a99aa1dfaa6eb46d6a10768aa59"],"state_sha256":"21aa989027d8bb028ace264096fefead9feb86adb1b6ac54ac38d1e928398a63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vnJXTtVsUXu3y7CyUtI15Z3MbmW3scsub660GcuQvYP7Cui+o1idAeaB2fZQogsiSlWR0Q+e7QYnu9WZ+ps/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-19T11:26:21.600615Z","bundle_sha256":"b1a0377d5bb3f89983cc19770bc720d8c6d15d088280fa28b8f8488cd17cf4bb"}}