{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:2IDD5RA366UGCE4EHTBTH4MYEP","short_pith_number":"pith:2IDD5RA3","canonical_record":{"source":{"id":"astro-ph/9802323","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1998-02-25T17:50:31Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"0ff5266bb66eecc263a23daee8b841ad94fc3d26179f717f57b876512a0a89d1","abstract_canon_sha256":"8148bd58a6852a2934b500bc93835e4251712a3f11970b9e1201b5b1a9f4a319"},"schema_version":"1.0"},"canonical_sha256":"d2063ec41bf7a86113843cc333f19823fad1a24f492729b4983b6eac19bcf735","source":{"kind":"arxiv","id":"astro-ph/9802323","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9802323","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9802323v2","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9802323","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"pith_short_12","alias_value":"2IDD5RA366UG","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"pith_short_16","alias_value":"2IDD5RA366UGCE4E","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"pith_short_8","alias_value":"2IDD5RA3","created_at":"2026-07-04T14:15:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:2IDD5RA366UGCE4EHTBTH4MYEP","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9802323","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1998-02-25T17:50:31Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"0ff5266bb66eecc263a23daee8b841ad94fc3d26179f717f57b876512a0a89d1","abstract_canon_sha256":"8148bd58a6852a2934b500bc93835e4251712a3f11970b9e1201b5b1a9f4a319"},"schema_version":"1.0"},"canonical_sha256":"d2063ec41bf7a86113843cc333f19823fad1a24f492729b4983b6eac19bcf735","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:15:41.541008Z","signature_b64":"R5rtSWEMZSyljh+pexHoEpuiU27qFbN9Co50YzsxDNBp3cMimr85GruvVuF4fksLZptP6nbZplx4nqJ917jSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2063ec41bf7a86113843cc333f19823fad1a24f492729b4983b6eac19bcf735","last_reissued_at":"2026-07-04T14:15:41.540452Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:15:41.540452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9802323","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":"2026-07-04T14:15:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aNmFZCX65zvQpcs7/S1Gvp5rcD+BEMgeYQfE0ZHQbuQEMI/coZw77cXR2xSTOx8mq2GVhZyAg7WaiZ1PRb++DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T17:36:44.207426Z"},"content_sha256":"7e0226f31a9efe185a5fd392953cd0eca896e748d8fcf295f49395fe08f5a0dd","schema_version":"1.0","event_id":"sha256:7e0226f31a9efe185a5fd392953cd0eca896e748d8fcf295f49395fe08f5a0dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:2IDD5RA366UGCE4EHTBTH4MYEP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological long wavelength perturbations","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph","authors_text":"W. Unruh (Univ. of BC)","submitted_at":"1998-02-25T17:50:31Z","abstract_excerpt":"This paper presents an exact solution to the long wavelength perturbations for the scalar modes and for a scalar field theory with arbitrary potential. Locally these modes are coordinate transformations of the homogeneous background solutions (although non-locally they are not). These solutions are then used to discuss a couple of recent papers in which such perturbations play a role.\n  Abramo, Brandenberger, and Mukhanov have recently argued that long wavelength perturbations have the effect of driving the cosmological constant to zero if the higher order perturbation equation are examined. I"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9802323","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/9802323/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":"2026-07-04T14:15:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UPjQzJuXJocd7SERC1p16kxFmBsYtVf0Oa4368mIVpCGbTUCSvHs85A3O2bfD+5sC80kWiasHwV3/ujToFQrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T17:36:44.208513Z"},"content_sha256":"ab45d9dfeeffc2b7b932ba545e7c75912bd409a6f0f1556946eaf976f819acbf","schema_version":"1.0","event_id":"sha256:ab45d9dfeeffc2b7b932ba545e7c75912bd409a6f0f1556946eaf976f819acbf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2IDD5RA366UGCE4EHTBTH4MYEP/bundle.json","state_url":"https://pith.science/pith/2IDD5RA366UGCE4EHTBTH4MYEP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2IDD5RA366UGCE4EHTBTH4MYEP/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":"2026-08-16T17:36:44Z","links":{"resolver":"https://pith.science/pith/2IDD5RA366UGCE4EHTBTH4MYEP","bundle":"https://pith.science/pith/2IDD5RA366UGCE4EHTBTH4MYEP/bundle.json","state":"https://pith.science/pith/2IDD5RA366UGCE4EHTBTH4MYEP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2IDD5RA366UGCE4EHTBTH4MYEP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:2IDD5RA366UGCE4EHTBTH4MYEP","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":"8148bd58a6852a2934b500bc93835e4251712a3f11970b9e1201b5b1a9f4a319","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"1998-02-25T17:50:31Z","title_canon_sha256":"0ff5266bb66eecc263a23daee8b841ad94fc3d26179f717f57b876512a0a89d1"},"schema_version":"1.0","source":{"id":"astro-ph/9802323","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9802323","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9802323v2","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9802323","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"pith_short_12","alias_value":"2IDD5RA366UG","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"pith_short_16","alias_value":"2IDD5RA366UGCE4E","created_at":"2026-07-04T14:15:41Z"},{"alias_kind":"pith_short_8","alias_value":"2IDD5RA3","created_at":"2026-07-04T14:15:41Z"}],"graph_snapshots":[{"event_id":"sha256:ab45d9dfeeffc2b7b932ba545e7c75912bd409a6f0f1556946eaf976f819acbf","target":"graph","created_at":"2026-07-04T14:15:41Z","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/astro-ph/9802323/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents an exact solution to the long wavelength perturbations for the scalar modes and for a scalar field theory with arbitrary potential. Locally these modes are coordinate transformations of the homogeneous background solutions (although non-locally they are not). These solutions are then used to discuss a couple of recent papers in which such perturbations play a role.\n  Abramo, Brandenberger, and Mukhanov have recently argued that long wavelength perturbations have the effect of driving the cosmological constant to zero if the higher order perturbation equation are examined. I","authors_text":"W. Unruh (Univ. of BC)","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1998-02-25T17:50:31Z","title":"Cosmological long wavelength perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9802323","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":"sha256:7e0226f31a9efe185a5fd392953cd0eca896e748d8fcf295f49395fe08f5a0dd","target":"record","created_at":"2026-07-04T14:15:41Z","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":"8148bd58a6852a2934b500bc93835e4251712a3f11970b9e1201b5b1a9f4a319","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"1998-02-25T17:50:31Z","title_canon_sha256":"0ff5266bb66eecc263a23daee8b841ad94fc3d26179f717f57b876512a0a89d1"},"schema_version":"1.0","source":{"id":"astro-ph/9802323","kind":"arxiv","version":2}},"canonical_sha256":"d2063ec41bf7a86113843cc333f19823fad1a24f492729b4983b6eac19bcf735","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2063ec41bf7a86113843cc333f19823fad1a24f492729b4983b6eac19bcf735","first_computed_at":"2026-07-04T14:15:41.540452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:15:41.540452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R5rtSWEMZSyljh+pexHoEpuiU27qFbN9Co50YzsxDNBp3cMimr85GruvVuF4fksLZptP6nbZplx4nqJ917jSBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:15:41.541008Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9802323","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e0226f31a9efe185a5fd392953cd0eca896e748d8fcf295f49395fe08f5a0dd","sha256:ab45d9dfeeffc2b7b932ba545e7c75912bd409a6f0f1556946eaf976f819acbf"],"state_sha256":"b7a8e22adf26429a403a071fbc40bb38834ad5b58ee5d476dd4db0a080464e5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q4HYGl+wYIvpxGCFyssK8PbLPMdbPcNvbAoMuzAdM+R6cDj8CjklFERhy+zWaS8hdmMWPKeqUPGdC03JSzUqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T17:36:44.234697Z","bundle_sha256":"f1f6cb858739c023b92c61566a82afeab7ea9feebfefa1ed74a990081eb15be1"}}