{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:AIVIA4MO2BQJWEKAFHBHBM5MAB","short_pith_number":"pith:AIVIA4MO","canonical_record":{"source":{"id":"1107.1762","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-09T06:00:50Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"148a4977f0f1cb1f292d0603243dcebfcb871d70d46deb167bf5f8ae5daedfad","abstract_canon_sha256":"fd7c4d57b954b0ce59c68e9f5107a7df680f581ed44011893b3902328b4c2423"},"schema_version":"1.0"},"canonical_sha256":"022a80718ed0609b114029c270b3ac00577a229b6ebe470111a3f73a6654bb6b","source":{"kind":"arxiv","id":"1107.1762","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1762","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1762v3","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1762","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"AIVIA4MO2BQJ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AIVIA4MO2BQJWEKA","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AIVIA4MO","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:AIVIA4MO2BQJWEKAFHBHBM5MAB","target":"record","payload":{"canonical_record":{"source":{"id":"1107.1762","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-09T06:00:50Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"148a4977f0f1cb1f292d0603243dcebfcb871d70d46deb167bf5f8ae5daedfad","abstract_canon_sha256":"fd7c4d57b954b0ce59c68e9f5107a7df680f581ed44011893b3902328b4c2423"},"schema_version":"1.0"},"canonical_sha256":"022a80718ed0609b114029c270b3ac00577a229b6ebe470111a3f73a6654bb6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:37.663359Z","signature_b64":"jEFQo+mA0Uj4q8muPua8KbMLXKN/xM4N29QCAX1OJ0a8V2OEYDThg9w9jrCH/9HaTa9awTS57+Xivrj6F38SBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"022a80718ed0609b114029c270b3ac00577a229b6ebe470111a3f73a6654bb6b","last_reissued_at":"2026-05-18T03:54:37.662726Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:37.662726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.1762","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":"2026-05-18T03:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5df+jap+Tpw+w1R5INojwIMiFm6S6i2pE6/913rzeco1ZfzIzZaoIw7H+t+8g0rI4yg4vrMJAr8gQa+VkejxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:09:14.796974Z"},"content_sha256":"c662b2cd8fce5b99d172937be544d96bdc3c0a59170976cd7d9168c8d2b6e093","schema_version":"1.0","event_id":"sha256:c662b2cd8fce5b99d172937be544d96bdc3c0a59170976cd7d9168c8d2b6e093"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:AIVIA4MO2BQJWEKAFHBHBM5MAB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum fluctuations in planar domain-wall space-times: A possible origin of primordial preferred direction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Chih-Hung Wang, Stephen D. H. Hsu, Yu-Huei Wu","submitted_at":"2011-07-09T06:00:50Z","abstract_excerpt":"We study the gravitational effects of a planar domain wall on quantum fluctuations of a massless scalar field during inflation. By obtaining an exact solution of the scalar field equation in de Sitter space, we show that the gravitational effects of the domain wall break the rotational invariance of the primordial power spectrum without affecting the translational invariance. The strength of rotational violation is determined by one dimensionless parameter $\\beta$, which is a function of two physical parameters, the domain wall surface tension $\\sigma$ and cosmological constant $\\Lambda$. In t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1762","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":""},"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":"2026-05-18T03:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xJa5ePDLrn9Qi5ggdsn70y+rS9kbTunjJWTZvJWuvyqFQJH4BsaeILpTNycKB0JDVxs1NuMxWDhJH9+/VQSyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:09:14.797439Z"},"content_sha256":"b481818a274c43ef4164bdd8738b7616a72188eb36e36b3bfd4cee53bcf625c7","schema_version":"1.0","event_id":"sha256:b481818a274c43ef4164bdd8738b7616a72188eb36e36b3bfd4cee53bcf625c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AIVIA4MO2BQJWEKAFHBHBM5MAB/bundle.json","state_url":"https://pith.science/pith/AIVIA4MO2BQJWEKAFHBHBM5MAB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AIVIA4MO2BQJWEKAFHBHBM5MAB/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":"2026-06-03T16:09:14Z","links":{"resolver":"https://pith.science/pith/AIVIA4MO2BQJWEKAFHBHBM5MAB","bundle":"https://pith.science/pith/AIVIA4MO2BQJWEKAFHBHBM5MAB/bundle.json","state":"https://pith.science/pith/AIVIA4MO2BQJWEKAFHBHBM5MAB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AIVIA4MO2BQJWEKAFHBHBM5MAB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AIVIA4MO2BQJWEKAFHBHBM5MAB","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":"fd7c4d57b954b0ce59c68e9f5107a7df680f581ed44011893b3902328b4c2423","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-09T06:00:50Z","title_canon_sha256":"148a4977f0f1cb1f292d0603243dcebfcb871d70d46deb167bf5f8ae5daedfad"},"schema_version":"1.0","source":{"id":"1107.1762","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1762","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1762v3","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1762","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"AIVIA4MO2BQJ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AIVIA4MO2BQJWEKA","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AIVIA4MO","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:b481818a274c43ef4164bdd8738b7616a72188eb36e36b3bfd4cee53bcf625c7","target":"graph","created_at":"2026-05-18T03:54:37Z","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 the gravitational effects of a planar domain wall on quantum fluctuations of a massless scalar field during inflation. By obtaining an exact solution of the scalar field equation in de Sitter space, we show that the gravitational effects of the domain wall break the rotational invariance of the primordial power spectrum without affecting the translational invariance. The strength of rotational violation is determined by one dimensionless parameter $\\beta$, which is a function of two physical parameters, the domain wall surface tension $\\sigma$ and cosmological constant $\\Lambda$. In t","authors_text":"Chih-Hung Wang, Stephen D. H. Hsu, Yu-Huei Wu","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-09T06:00:50Z","title":"Quantum fluctuations in planar domain-wall space-times: A possible origin of primordial preferred direction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1762","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:c662b2cd8fce5b99d172937be544d96bdc3c0a59170976cd7d9168c8d2b6e093","target":"record","created_at":"2026-05-18T03:54:37Z","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":"fd7c4d57b954b0ce59c68e9f5107a7df680f581ed44011893b3902328b4c2423","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-09T06:00:50Z","title_canon_sha256":"148a4977f0f1cb1f292d0603243dcebfcb871d70d46deb167bf5f8ae5daedfad"},"schema_version":"1.0","source":{"id":"1107.1762","kind":"arxiv","version":3}},"canonical_sha256":"022a80718ed0609b114029c270b3ac00577a229b6ebe470111a3f73a6654bb6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"022a80718ed0609b114029c270b3ac00577a229b6ebe470111a3f73a6654bb6b","first_computed_at":"2026-05-18T03:54:37.662726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:37.662726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jEFQo+mA0Uj4q8muPua8KbMLXKN/xM4N29QCAX1OJ0a8V2OEYDThg9w9jrCH/9HaTa9awTS57+Xivrj6F38SBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:37.663359Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1762","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c662b2cd8fce5b99d172937be544d96bdc3c0a59170976cd7d9168c8d2b6e093","sha256:b481818a274c43ef4164bdd8738b7616a72188eb36e36b3bfd4cee53bcf625c7"],"state_sha256":"21530e93729d7e7152362c96eb59ef7634ecda93b95d5e6114b4a35e4ec31dcc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pmEJtYtJKVLeaoC1diMPeQXgWsEI6xEfrDW7kq7JKVzZOg2ck309wRn3MC9BThSYVik3boA61iUbhoZNW2CXBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:09:14.799546Z","bundle_sha256":"19498abba248a3c9d9bd7e798a0cede9b8a6e90e9b6080d3e1dbed12f61f94d1"}}