{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:VHTS4QLV4Z2UF5VJPDXV2WUWC3","short_pith_number":"pith:VHTS4QLV","canonical_record":{"source":{"id":"0801.2572","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2008-01-17T16:20:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1d746b96eb63bf35312e0e498b476c2180cdf7279b5f316f9d011d0ac01b20bb","abstract_canon_sha256":"34f0d6c0a5002ec06420fd4082ac06ab65309785619de0b6c54f81de183aaa28"},"schema_version":"1.0"},"canonical_sha256":"a9e72e4175e67542f6a978ef5d5a9616c445c593638b6a4776937ebe97dc2c72","source":{"kind":"arxiv","id":"0801.2572","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.2572","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"0801.2572v3","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.2572","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"VHTS4QLV4Z2U","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"pith_short_16","alias_value":"VHTS4QLV4Z2UF5VJ","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"pith_short_8","alias_value":"VHTS4QLV","created_at":"2026-07-04T15:34:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:VHTS4QLV4Z2UF5VJPDXV2WUWC3","target":"record","payload":{"canonical_record":{"source":{"id":"0801.2572","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2008-01-17T16:20:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1d746b96eb63bf35312e0e498b476c2180cdf7279b5f316f9d011d0ac01b20bb","abstract_canon_sha256":"34f0d6c0a5002ec06420fd4082ac06ab65309785619de0b6c54f81de183aaa28"},"schema_version":"1.0"},"canonical_sha256":"a9e72e4175e67542f6a978ef5d5a9616c445c593638b6a4776937ebe97dc2c72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:34:01.551109Z","signature_b64":"d9kTGXoFDYYYW4FqrLEr4SsdK2z81Yd/H8cBJWY5cmSbE4uFEXCugrj+7t2qIHUFQrpmQDbxqNodsj7tDQq9Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9e72e4175e67542f6a978ef5d5a9616c445c593638b6a4776937ebe97dc2c72","last_reissued_at":"2026-07-04T15:34:01.550631Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:34:01.550631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0801.2572","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":"2026-07-04T15:34:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ndvhxz6w4fjUn1Aw4CYuVhLWE0ckyzVF9ZpDGbioZ1lD+XuVG3nbdHcEaZKfayxLal0ocrVBL9SbNm3uk0ysAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:06:10.744161Z"},"content_sha256":"9f86806a3e05ae98f9d5c766ebbdb10112d085d52b4ee0d24bbfd118995572fe","schema_version":"1.0","event_id":"sha256:9f86806a3e05ae98f9d5c766ebbdb10112d085d52b4ee0d24bbfd118995572fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:VHTS4QLV4Z2UF5VJPDXV2WUWC3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of a Primordial Magnetic Field on Low and High Multipoles of the CMB","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph","authors_text":"Dai G. Yamazaki, Grant J. Mathews, Kiyotomo Ichiki, Toshitaka Kajino","submitted_at":"2008-01-17T16:20:42Z","abstract_excerpt":"The existence of a primordial magnetic field (PMF) would affect both the temperature and polarization anisotropies of the cosmic microwave background (CMB). It also provides a plausible explanation for the possible disparity between observations and theoretical fits to the CMB power spectrum. Here we report on calculations of not only the numerical CMB power spectrum from the PMF, but also the correlations between the CMB power spectrum from the PMF and the primary curvature perturbations. We then deduce a precise estimate of the PMF effect on all modes of perturbations. We find that the PMF a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.2572","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/0801.2572/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":"2026-07-04T15:34:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ch38sr+Jvky/EXg6Wke7d8mo6glQYJHGk220Yi1R+cd9WzzD/fqFqNlg/I+72FZh6yOhsEItxL9pg1pw3OGXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:06:10.744533Z"},"content_sha256":"d4c90088f08b5e4950cbe600f88ccd98111cfd11d041be1b71490db4ac95228d","schema_version":"1.0","event_id":"sha256:d4c90088f08b5e4950cbe600f88ccd98111cfd11d041be1b71490db4ac95228d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VHTS4QLV4Z2UF5VJPDXV2WUWC3/bundle.json","state_url":"https://pith.science/pith/VHTS4QLV4Z2UF5VJPDXV2WUWC3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VHTS4QLV4Z2UF5VJPDXV2WUWC3/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":"2026-08-05T01:06:10Z","links":{"resolver":"https://pith.science/pith/VHTS4QLV4Z2UF5VJPDXV2WUWC3","bundle":"https://pith.science/pith/VHTS4QLV4Z2UF5VJPDXV2WUWC3/bundle.json","state":"https://pith.science/pith/VHTS4QLV4Z2UF5VJPDXV2WUWC3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VHTS4QLV4Z2UF5VJPDXV2WUWC3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:VHTS4QLV4Z2UF5VJPDXV2WUWC3","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":"34f0d6c0a5002ec06420fd4082ac06ab65309785619de0b6c54f81de183aaa28","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"2008-01-17T16:20:42Z","title_canon_sha256":"1d746b96eb63bf35312e0e498b476c2180cdf7279b5f316f9d011d0ac01b20bb"},"schema_version":"1.0","source":{"id":"0801.2572","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.2572","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"0801.2572v3","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.2572","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"VHTS4QLV4Z2U","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"pith_short_16","alias_value":"VHTS4QLV4Z2UF5VJ","created_at":"2026-07-04T15:34:01Z"},{"alias_kind":"pith_short_8","alias_value":"VHTS4QLV","created_at":"2026-07-04T15:34:01Z"}],"graph_snapshots":[{"event_id":"sha256:d4c90088f08b5e4950cbe600f88ccd98111cfd11d041be1b71490db4ac95228d","target":"graph","created_at":"2026-07-04T15:34:01Z","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/0801.2572/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The existence of a primordial magnetic field (PMF) would affect both the temperature and polarization anisotropies of the cosmic microwave background (CMB). It also provides a plausible explanation for the possible disparity between observations and theoretical fits to the CMB power spectrum. Here we report on calculations of not only the numerical CMB power spectrum from the PMF, but also the correlations between the CMB power spectrum from the PMF and the primary curvature perturbations. We then deduce a precise estimate of the PMF effect on all modes of perturbations. We find that the PMF a","authors_text":"Dai G. Yamazaki, Grant J. Mathews, Kiyotomo Ichiki, Toshitaka Kajino","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2008-01-17T16:20:42Z","title":"Effects of a Primordial Magnetic Field on Low and High Multipoles of the CMB"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.2572","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":"sha256:9f86806a3e05ae98f9d5c766ebbdb10112d085d52b4ee0d24bbfd118995572fe","target":"record","created_at":"2026-07-04T15:34:01Z","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":"34f0d6c0a5002ec06420fd4082ac06ab65309785619de0b6c54f81de183aaa28","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"2008-01-17T16:20:42Z","title_canon_sha256":"1d746b96eb63bf35312e0e498b476c2180cdf7279b5f316f9d011d0ac01b20bb"},"schema_version":"1.0","source":{"id":"0801.2572","kind":"arxiv","version":3}},"canonical_sha256":"a9e72e4175e67542f6a978ef5d5a9616c445c593638b6a4776937ebe97dc2c72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9e72e4175e67542f6a978ef5d5a9616c445c593638b6a4776937ebe97dc2c72","first_computed_at":"2026-07-04T15:34:01.550631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:34:01.550631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d9kTGXoFDYYYW4FqrLEr4SsdK2z81Yd/H8cBJWY5cmSbE4uFEXCugrj+7t2qIHUFQrpmQDbxqNodsj7tDQq9Ag==","signature_status":"signed_v1","signed_at":"2026-07-04T15:34:01.551109Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.2572","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f86806a3e05ae98f9d5c766ebbdb10112d085d52b4ee0d24bbfd118995572fe","sha256:d4c90088f08b5e4950cbe600f88ccd98111cfd11d041be1b71490db4ac95228d"],"state_sha256":"f24bc019c095ab771e3960e1dab575b72ae46c5a53204f9c6d98b71a8cb47d17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BOJAJI0wMpby1fcWIi/aouZ/4THdihL07rDIUxF281j+YbfohcJXXqv8jVtne42twxIfR3kO6EFzKap1WXeTDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T01:06:10.746934Z","bundle_sha256":"bdbd464d0f3a87547fc9ef13e2a9690e013bf35a70b0bbb85b40f267fe68f6e2"}}