{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SLEC4XYUA7IV4ISXYHYOUBYZ2A","short_pith_number":"pith:SLEC4XYU","canonical_record":{"source":{"id":"1205.2139","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-10T01:45:20Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"64d29df6a54204c2db688b37d0b7c68768d292a0093dd47ea078b31531d348b6","abstract_canon_sha256":"7cbeb3c628656c1aa270f599e2ac0b75bdd201510d2a10dd6416b40d99ecf522"},"schema_version":"1.0"},"canonical_sha256":"92c82e5f1407d15e2257c1f0ea0719d007fc47a1a789a8ddf2c888d2373f9fcd","source":{"kind":"arxiv","id":"1205.2139","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2139","created_at":"2026-05-18T01:57:34Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2139v3","created_at":"2026-05-18T01:57:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2139","created_at":"2026-05-18T01:57:34Z"},{"alias_kind":"pith_short_12","alias_value":"SLEC4XYUA7IV","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SLEC4XYUA7IV4ISX","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SLEC4XYU","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SLEC4XYUA7IV4ISXYHYOUBYZ2A","target":"record","payload":{"canonical_record":{"source":{"id":"1205.2139","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-10T01:45:20Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"64d29df6a54204c2db688b37d0b7c68768d292a0093dd47ea078b31531d348b6","abstract_canon_sha256":"7cbeb3c628656c1aa270f599e2ac0b75bdd201510d2a10dd6416b40d99ecf522"},"schema_version":"1.0"},"canonical_sha256":"92c82e5f1407d15e2257c1f0ea0719d007fc47a1a789a8ddf2c888d2373f9fcd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:34.132624Z","signature_b64":"+bb7O+8jq89y1kX3iyw8W1fGv1FhJtiWiGesbJ4YNZmZFSmNoFbY2JLPNKzoo6f0cc7ga3D+n6Sg1WeW+0PcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92c82e5f1407d15e2257c1f0ea0719d007fc47a1a789a8ddf2c888d2373f9fcd","last_reissued_at":"2026-05-18T01:57:34.131931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:34.131931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.2139","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":"2026-05-18T01:57:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IRUKTheQ/j444Qd1Q45K1xQGqEr8zHGJn0+iACLi39sU2cC7VpNBEgHwKnn7pu4wluP4KwpOLnVW9D52hiBJBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:18:55.858979Z"},"content_sha256":"f4583eafb67474cd689f915a00f2ebf62f24ad9bc5b2ae63e897ec3c952ebd7b","schema_version":"1.0","event_id":"sha256:f4583eafb67474cd689f915a00f2ebf62f24ad9bc5b2ae63e897ec3c952ebd7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SLEC4XYUA7IV4ISXYHYOUBYZ2A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak lensing generated by vector perturbations and detectability of cosmic strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Atsushi Taruya, Daisuke Yamauchi, Toshiya Namikawa","submitted_at":"2012-05-10T01:45:20Z","abstract_excerpt":"We study the observational signature of vector metric perturbations through the effect of weak gravitational lensing. In the presence of vector perturbations, the non-vanishing signals for B-mode cosmic shear and curl-mode deflection angle, which have never appeared in the case of scalar metric perturbations, naturally arise. Solving the geodesic and geodesic deviation equations, we drive the full-sky formulas for angular power spectra of weak lensing signals, and give the explicit expressions for E-/B-mode cosmic shear and gradient-/curl-mode deflection angle. As a possible source for seeding"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2139","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":"2026-05-18T01:57:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BXUMfKKF9TA7Ix8N8sX18Mw4pJHxRuB24Js2nYIcCrheSgm5Vd20WFZRc4AAxESX2/jBzYJ1H7zTa+jXyWHSBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:18:55.859333Z"},"content_sha256":"7e3e2811f69878b3b1b10d095c5925048f1e070f8523a8e33afd5b2132c1ef31","schema_version":"1.0","event_id":"sha256:7e3e2811f69878b3b1b10d095c5925048f1e070f8523a8e33afd5b2132c1ef31"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SLEC4XYUA7IV4ISXYHYOUBYZ2A/bundle.json","state_url":"https://pith.science/pith/SLEC4XYUA7IV4ISXYHYOUBYZ2A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SLEC4XYUA7IV4ISXYHYOUBYZ2A/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":"2026-06-02T01:18:55Z","links":{"resolver":"https://pith.science/pith/SLEC4XYUA7IV4ISXYHYOUBYZ2A","bundle":"https://pith.science/pith/SLEC4XYUA7IV4ISXYHYOUBYZ2A/bundle.json","state":"https://pith.science/pith/SLEC4XYUA7IV4ISXYHYOUBYZ2A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SLEC4XYUA7IV4ISXYHYOUBYZ2A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SLEC4XYUA7IV4ISXYHYOUBYZ2A","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":"7cbeb3c628656c1aa270f599e2ac0b75bdd201510d2a10dd6416b40d99ecf522","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-10T01:45:20Z","title_canon_sha256":"64d29df6a54204c2db688b37d0b7c68768d292a0093dd47ea078b31531d348b6"},"schema_version":"1.0","source":{"id":"1205.2139","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2139","created_at":"2026-05-18T01:57:34Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2139v3","created_at":"2026-05-18T01:57:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2139","created_at":"2026-05-18T01:57:34Z"},{"alias_kind":"pith_short_12","alias_value":"SLEC4XYUA7IV","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SLEC4XYUA7IV4ISX","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SLEC4XYU","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:7e3e2811f69878b3b1b10d095c5925048f1e070f8523a8e33afd5b2132c1ef31","target":"graph","created_at":"2026-05-18T01:57:34Z","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 observational signature of vector metric perturbations through the effect of weak gravitational lensing. In the presence of vector perturbations, the non-vanishing signals for B-mode cosmic shear and curl-mode deflection angle, which have never appeared in the case of scalar metric perturbations, naturally arise. Solving the geodesic and geodesic deviation equations, we drive the full-sky formulas for angular power spectra of weak lensing signals, and give the explicit expressions for E-/B-mode cosmic shear and gradient-/curl-mode deflection angle. As a possible source for seeding","authors_text":"Atsushi Taruya, Daisuke Yamauchi, Toshiya Namikawa","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-10T01:45:20Z","title":"Weak lensing generated by vector perturbations and detectability of cosmic strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2139","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:f4583eafb67474cd689f915a00f2ebf62f24ad9bc5b2ae63e897ec3c952ebd7b","target":"record","created_at":"2026-05-18T01:57:34Z","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":"7cbeb3c628656c1aa270f599e2ac0b75bdd201510d2a10dd6416b40d99ecf522","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-10T01:45:20Z","title_canon_sha256":"64d29df6a54204c2db688b37d0b7c68768d292a0093dd47ea078b31531d348b6"},"schema_version":"1.0","source":{"id":"1205.2139","kind":"arxiv","version":3}},"canonical_sha256":"92c82e5f1407d15e2257c1f0ea0719d007fc47a1a789a8ddf2c888d2373f9fcd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92c82e5f1407d15e2257c1f0ea0719d007fc47a1a789a8ddf2c888d2373f9fcd","first_computed_at":"2026-05-18T01:57:34.131931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:34.131931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+bb7O+8jq89y1kX3iyw8W1fGv1FhJtiWiGesbJ4YNZmZFSmNoFbY2JLPNKzoo6f0cc7ga3D+n6Sg1WeW+0PcCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:34.132624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.2139","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4583eafb67474cd689f915a00f2ebf62f24ad9bc5b2ae63e897ec3c952ebd7b","sha256:7e3e2811f69878b3b1b10d095c5925048f1e070f8523a8e33afd5b2132c1ef31"],"state_sha256":"e8209d7b9a2759d86a8b16c1860d2386f11830a0be9ffa03060cd558354ffa9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z6jeNEYN//Fr3l1KCZULpKjroLikKqHN9OLV6yWyMpz3S1bmIRJXlU+Vj4mgXqM3Yw8UeRhupaSpIbZh0w0/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:18:55.861233Z","bundle_sha256":"6534e6fd417c06ef12336d23bd02d2aeee6533fb296895c14874cea97c3fe94a"}}