{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:QXZPDCJVITWHK6XFZ3DZDHQAW2","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":"1f617af27da516f8574b66f8c6be7ac19e2ced2105827c4702da62c207e44ec5","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2007-01-11T23:47:40Z","title_canon_sha256":"165156022d7b532f26b167168f172ae27013237bda0439f9717935d7da6e4cdc"},"schema_version":"1.0","source":{"id":"astro-ph/0701357","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0701357","created_at":"2026-05-18T02:40:25Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0701357v5","created_at":"2026-05-18T02:40:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0701357","created_at":"2026-05-18T02:40:25Z"},{"alias_kind":"pith_short_12","alias_value":"QXZPDCJVITWH","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"QXZPDCJVITWHK6XF","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"QXZPDCJV","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:f3b17efa94e97bc6d2be28ff4b058bafd96ce5a4afdd8a198e1c3780a7951ca6","target":"graph","created_at":"2026-05-18T02:40:25Z","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":"Rotational invariance is a well-established feature of low-energy physics. Violations of this symmetry must be extremely small today, but could have been larger in earlier epochs. In this paper we examine the consequences of a small breaking of rotational invariance during the inflationary era when the primordial density fluctuations were generated. Assuming that a fixed-norm vector picked out a preferred direction during the inflationary era, we explore the imprint it would leave on the cosmic microwave background anisotropy, and provide explicit formulas for the expected amplitudes $<a_{lm}a","authors_text":"Lotty Ackerman, Mark B. Wise, Sean M. Carroll","cross_cats":["gr-qc","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2007-01-11T23:47:40Z","title":"Imprints of a Primordial Preferred Direction on the Microwave Background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0701357","kind":"arxiv","version":5},"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":"sha256:36d9fb1b25210bdcd17163cf43d9d48538b85e6b025046c8e9d7a200e0c65ffc","target":"record","created_at":"2026-05-18T02:40:25Z","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":"1f617af27da516f8574b66f8c6be7ac19e2ced2105827c4702da62c207e44ec5","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2007-01-11T23:47:40Z","title_canon_sha256":"165156022d7b532f26b167168f172ae27013237bda0439f9717935d7da6e4cdc"},"schema_version":"1.0","source":{"id":"astro-ph/0701357","kind":"arxiv","version":5}},"canonical_sha256":"85f2f1893544ec757ae5cec7919e00b6a0ec41d9e9dbcb4cb88dcf79025b5e8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85f2f1893544ec757ae5cec7919e00b6a0ec41d9e9dbcb4cb88dcf79025b5e8c","first_computed_at":"2026-05-18T02:40:25.015890Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:25.015890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QcMHsKhvdpioK7bFyRGW7WXPBZkJUaBAyM41S3L+M9hWf9EHrpDH44OB200zR0RB1uKKkp00kYpnBN6MAS73DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:25.016335Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0701357","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36d9fb1b25210bdcd17163cf43d9d48538b85e6b025046c8e9d7a200e0c65ffc","sha256:f3b17efa94e97bc6d2be28ff4b058bafd96ce5a4afdd8a198e1c3780a7951ca6"],"state_sha256":"c797ed0b4f47a4f340257286db3dd76361e8ebc98967e9ba24a0f1bafdc17813"}