{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RSSCYYR3L2NUIMF5AUGSE5IVHW","short_pith_number":"pith:RSSCYYR3","canonical_record":{"source":{"id":"1109.6411","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-29T06:26:41Z","cross_cats_sorted":[],"title_canon_sha256":"e3c348f6c4ccd293715b96fbb1372f19e4d2cee31dc883fcb941e94749fb602e","abstract_canon_sha256":"0e20767cd519e9cb91b25bfae354feaeaee538516e80f4189784170552aafdbc"},"schema_version":"1.0"},"canonical_sha256":"8ca42c623b5e9b4430bd050d2275153db75d9e690d142d3633bd24c02ecec9e0","source":{"kind":"arxiv","id":"1109.6411","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6411","created_at":"2026-05-18T03:07:02Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6411v2","created_at":"2026-05-18T03:07:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6411","created_at":"2026-05-18T03:07:02Z"},{"alias_kind":"pith_short_12","alias_value":"RSSCYYR3L2NU","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RSSCYYR3L2NUIMF5","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RSSCYYR3","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RSSCYYR3L2NUIMF5AUGSE5IVHW","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6411","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-29T06:26:41Z","cross_cats_sorted":[],"title_canon_sha256":"e3c348f6c4ccd293715b96fbb1372f19e4d2cee31dc883fcb941e94749fb602e","abstract_canon_sha256":"0e20767cd519e9cb91b25bfae354feaeaee538516e80f4189784170552aafdbc"},"schema_version":"1.0"},"canonical_sha256":"8ca42c623b5e9b4430bd050d2275153db75d9e690d142d3633bd24c02ecec9e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:02.351559Z","signature_b64":"mRN3hI9c6Ey4cw5DCBq1Nejjt+ooAh0VvYVDApot0aEoJ6y0Om9ZlS4N9CRAdazNOzVelrMa2aVED+UmMYzuDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ca42c623b5e9b4430bd050d2275153db75d9e690d142d3633bd24c02ecec9e0","last_reissued_at":"2026-05-18T03:07:02.351095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:02.351095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6411","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:07:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gNhG6i23NoIIbl/QjyEVJTaaE7DC/0Vjg+KIrrV+IlwMOBygegNEZCnK1c2cQ0aq6Sc9vX0t7Bq3Irnulwl/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:50:18.349421Z"},"content_sha256":"28c6479230f35e7362e689cdf903208c50636eeaaf191ac4dacef60dde82331a","schema_version":"1.0","event_id":"sha256:28c6479230f35e7362e689cdf903208c50636eeaaf191ac4dacef60dde82331a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RSSCYYR3L2NUIMF5AUGSE5IVHW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbation of FRW Spacetime in NP Formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"S. K. Sharma, U. Khanal","submitted_at":"2011-09-29T06:26:41Z","abstract_excerpt":"Perturbation of FRW spacetime is carried out in NP formalism. The equation governing the scalar, vector and tensor modes take on a very simple and transparent form. All of them can be combined in one master equation for all helicities. The solutions for the closed, flat and open FRW are analytic continuation of the same functions, so only the solutions in the closed model are described. The scalar equation is the same as that of the conformally coupled massless Klein-Gordon field, the vectorial ones are the same as Maxwell equations, and the tensorial ones are for spin-2 fields. The correspond"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6411","kind":"arxiv","version":2},"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":"2026-05-18T03:07:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yCXk82mCOpH2Rh3KTIW4hLGR8cR3yiJKEt9Z7KbxbxygKmuo6HY6KOhkgO5xu1X5gN9XYURh/fZKwVkYGFbfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:50:18.349797Z"},"content_sha256":"ac202049aa5e82fb7d451d755efb147b3178a7e0ce60e954230890ca251864a8","schema_version":"1.0","event_id":"sha256:ac202049aa5e82fb7d451d755efb147b3178a7e0ce60e954230890ca251864a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSSCYYR3L2NUIMF5AUGSE5IVHW/bundle.json","state_url":"https://pith.science/pith/RSSCYYR3L2NUIMF5AUGSE5IVHW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSSCYYR3L2NUIMF5AUGSE5IVHW/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":"2026-06-24T17:50:18Z","links":{"resolver":"https://pith.science/pith/RSSCYYR3L2NUIMF5AUGSE5IVHW","bundle":"https://pith.science/pith/RSSCYYR3L2NUIMF5AUGSE5IVHW/bundle.json","state":"https://pith.science/pith/RSSCYYR3L2NUIMF5AUGSE5IVHW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSSCYYR3L2NUIMF5AUGSE5IVHW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RSSCYYR3L2NUIMF5AUGSE5IVHW","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":"0e20767cd519e9cb91b25bfae354feaeaee538516e80f4189784170552aafdbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-29T06:26:41Z","title_canon_sha256":"e3c348f6c4ccd293715b96fbb1372f19e4d2cee31dc883fcb941e94749fb602e"},"schema_version":"1.0","source":{"id":"1109.6411","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6411","created_at":"2026-05-18T03:07:02Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6411v2","created_at":"2026-05-18T03:07:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6411","created_at":"2026-05-18T03:07:02Z"},{"alias_kind":"pith_short_12","alias_value":"RSSCYYR3L2NU","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RSSCYYR3L2NUIMF5","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RSSCYYR3","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:ac202049aa5e82fb7d451d755efb147b3178a7e0ce60e954230890ca251864a8","target":"graph","created_at":"2026-05-18T03:07:02Z","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":"Perturbation of FRW spacetime is carried out in NP formalism. The equation governing the scalar, vector and tensor modes take on a very simple and transparent form. All of them can be combined in one master equation for all helicities. The solutions for the closed, flat and open FRW are analytic continuation of the same functions, so only the solutions in the closed model are described. The scalar equation is the same as that of the conformally coupled massless Klein-Gordon field, the vectorial ones are the same as Maxwell equations, and the tensorial ones are for spin-2 fields. The correspond","authors_text":"S. K. Sharma, U. Khanal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-29T06:26:41Z","title":"Perturbation of FRW Spacetime in NP Formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6411","kind":"arxiv","version":2},"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":"sha256:28c6479230f35e7362e689cdf903208c50636eeaaf191ac4dacef60dde82331a","target":"record","created_at":"2026-05-18T03:07:02Z","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":"0e20767cd519e9cb91b25bfae354feaeaee538516e80f4189784170552aafdbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-29T06:26:41Z","title_canon_sha256":"e3c348f6c4ccd293715b96fbb1372f19e4d2cee31dc883fcb941e94749fb602e"},"schema_version":"1.0","source":{"id":"1109.6411","kind":"arxiv","version":2}},"canonical_sha256":"8ca42c623b5e9b4430bd050d2275153db75d9e690d142d3633bd24c02ecec9e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ca42c623b5e9b4430bd050d2275153db75d9e690d142d3633bd24c02ecec9e0","first_computed_at":"2026-05-18T03:07:02.351095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:02.351095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mRN3hI9c6Ey4cw5DCBq1Nejjt+ooAh0VvYVDApot0aEoJ6y0Om9ZlS4N9CRAdazNOzVelrMa2aVED+UmMYzuDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:02.351559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6411","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28c6479230f35e7362e689cdf903208c50636eeaaf191ac4dacef60dde82331a","sha256:ac202049aa5e82fb7d451d755efb147b3178a7e0ce60e954230890ca251864a8"],"state_sha256":"9dd47b161680b626c430eeedb3a67f16d59e5801f765039febf2f1733bf135d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FGHNFjWzmTdGDnvezlCjLx5+AbtV8A0NBssPSsBTDk9+Z3Ix3QcJbEv/R2WxzgOtIRO/bqymToSFa/QBMnfwDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T17:50:18.351767Z","bundle_sha256":"69156093672655a418c4a6cb4b20865ad52345ab9133e769771d32e02baf2045"}}