{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:U4KN7BIRK5A36TNHRKUXTSHVPX","short_pith_number":"pith:U4KN7BIR","canonical_record":{"source":{"id":"astro-ph/9310046","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1993-10-26T23:13:16Z","cross_cats_sorted":[],"title_canon_sha256":"04d2f5836b1ccd16b9af0b01f6e41927b69429df6624bc0b5729fe3022bd5e24","abstract_canon_sha256":"502d474ece55443713136669092070dc17f2a55522969f82a974f9a23d6e5d63"},"schema_version":"1.0"},"canonical_sha256":"a714df85115741bf4da78aa979c8f57de1403f6bed47f27714e6093cc55ca96d","source":{"kind":"arxiv","id":"astro-ph/9310046","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9310046","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9310046v1","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9310046","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"pith_short_12","alias_value":"U4KN7BIRK5A3","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"pith_short_16","alias_value":"U4KN7BIRK5A36TNH","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"pith_short_8","alias_value":"U4KN7BIR","created_at":"2026-07-04T15:46:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:U4KN7BIRK5A36TNHRKUXTSHVPX","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9310046","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1993-10-26T23:13:16Z","cross_cats_sorted":[],"title_canon_sha256":"04d2f5836b1ccd16b9af0b01f6e41927b69429df6624bc0b5729fe3022bd5e24","abstract_canon_sha256":"502d474ece55443713136669092070dc17f2a55522969f82a974f9a23d6e5d63"},"schema_version":"1.0"},"canonical_sha256":"a714df85115741bf4da78aa979c8f57de1403f6bed47f27714e6093cc55ca96d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:46:14.827454Z","signature_b64":"48l0CnUTLLZyhhfLBnT/XG2i7NptWFKxkSq/4CqENI687FrnXa4N2HAfIpTD8DtxaXs3TDK8K7AcxDxPVy6GAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a714df85115741bf4da78aa979c8f57de1403f6bed47f27714e6093cc55ca96d","last_reissued_at":"2026-07-04T15:46:14.827034Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:46:14.827034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9310046","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:46:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G6rTivqRTz8E5cpkqawSDVlcEGhaKWAuFZ0OfzjXALm25MY11YSac5Uq7l/IOChJcR7jpeH40VkQH+2SIhWxBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T13:19:52.430824Z"},"content_sha256":"87e432a88f2b4cd12ddb8f07d8e3af526f046f26ef920f338748eececd37cad6","schema_version":"1.0","event_id":"sha256:87e432a88f2b4cd12ddb8f07d8e3af526f046f26ef920f338748eececd37cad6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:U4KN7BIRK5A36TNHRKUXTSHVPX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Small Scale Integrated Sachs-Wolfe Effect","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Naoshi Sugiyama, Wayne Hu","submitted_at":"1993-10-26T23:13:16Z","abstract_excerpt":"The integrated Sachs-Wolfe effect (ISW) can be an important factor in the generation of Cosmic Microwave Background anisotropies on all scales, especially in a reionized curvature or lambda dominated universe. We present an analytic treatment of the ISW effect, which is analogous to thick last scattering surface techniques for the Doppler effect, that compares quite well with the full numerical calculations. The power spectrum of temperature fluctuations due to the small scale ISW effect has wave number dependence k^{-5} times that of the matter power spectrum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9310046","kind":"arxiv","version":1},"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/9310046/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":"2026-07-04T15:46:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oFllK8Zj6VTj42zGhkCAvrraAi1C2Aj2ZW5YXzwwNlGYtGWWkXC48zZcxCGx375QQ60du9MhH23l1+A0gSYjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T13:19:52.431331Z"},"content_sha256":"06d91950f40528e2811aa80e15c69b6d5228bded7494828529df68e3f546a2c4","schema_version":"1.0","event_id":"sha256:06d91950f40528e2811aa80e15c69b6d5228bded7494828529df68e3f546a2c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4KN7BIRK5A36TNHRKUXTSHVPX/bundle.json","state_url":"https://pith.science/pith/U4KN7BIRK5A36TNHRKUXTSHVPX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4KN7BIRK5A36TNHRKUXTSHVPX/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":"2026-08-14T13:19:52Z","links":{"resolver":"https://pith.science/pith/U4KN7BIRK5A36TNHRKUXTSHVPX","bundle":"https://pith.science/pith/U4KN7BIRK5A36TNHRKUXTSHVPX/bundle.json","state":"https://pith.science/pith/U4KN7BIRK5A36TNHRKUXTSHVPX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4KN7BIRK5A36TNHRKUXTSHVPX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:U4KN7BIRK5A36TNHRKUXTSHVPX","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":"502d474ece55443713136669092070dc17f2a55522969f82a974f9a23d6e5d63","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1993-10-26T23:13:16Z","title_canon_sha256":"04d2f5836b1ccd16b9af0b01f6e41927b69429df6624bc0b5729fe3022bd5e24"},"schema_version":"1.0","source":{"id":"astro-ph/9310046","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9310046","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9310046v1","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9310046","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"pith_short_12","alias_value":"U4KN7BIRK5A3","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"pith_short_16","alias_value":"U4KN7BIRK5A36TNH","created_at":"2026-07-04T15:46:14Z"},{"alias_kind":"pith_short_8","alias_value":"U4KN7BIR","created_at":"2026-07-04T15:46:14Z"}],"graph_snapshots":[{"event_id":"sha256:06d91950f40528e2811aa80e15c69b6d5228bded7494828529df68e3f546a2c4","target":"graph","created_at":"2026-07-04T15:46:14Z","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/9310046/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The integrated Sachs-Wolfe effect (ISW) can be an important factor in the generation of Cosmic Microwave Background anisotropies on all scales, especially in a reionized curvature or lambda dominated universe. We present an analytic treatment of the ISW effect, which is analogous to thick last scattering surface techniques for the Doppler effect, that compares quite well with the full numerical calculations. The power spectrum of temperature fluctuations due to the small scale ISW effect has wave number dependence k^{-5} times that of the matter power spectrum.","authors_text":"Naoshi Sugiyama, Wayne Hu","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1993-10-26T23:13:16Z","title":"The Small Scale Integrated Sachs-Wolfe Effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9310046","kind":"arxiv","version":1},"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":"sha256:87e432a88f2b4cd12ddb8f07d8e3af526f046f26ef920f338748eececd37cad6","target":"record","created_at":"2026-07-04T15:46:14Z","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":"502d474ece55443713136669092070dc17f2a55522969f82a974f9a23d6e5d63","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1993-10-26T23:13:16Z","title_canon_sha256":"04d2f5836b1ccd16b9af0b01f6e41927b69429df6624bc0b5729fe3022bd5e24"},"schema_version":"1.0","source":{"id":"astro-ph/9310046","kind":"arxiv","version":1}},"canonical_sha256":"a714df85115741bf4da78aa979c8f57de1403f6bed47f27714e6093cc55ca96d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a714df85115741bf4da78aa979c8f57de1403f6bed47f27714e6093cc55ca96d","first_computed_at":"2026-07-04T15:46:14.827034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:46:14.827034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"48l0CnUTLLZyhhfLBnT/XG2i7NptWFKxkSq/4CqENI687FrnXa4N2HAfIpTD8DtxaXs3TDK8K7AcxDxPVy6GAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:46:14.827454Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9310046","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87e432a88f2b4cd12ddb8f07d8e3af526f046f26ef920f338748eececd37cad6","sha256:06d91950f40528e2811aa80e15c69b6d5228bded7494828529df68e3f546a2c4"],"state_sha256":"58e1450a8ed39441cddff7ba90b8e2f4f98baed8ea5dd61504e8c1db4ff3228d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c5Qlw376vM5Yom9guYcSgfJIgFFzo/B3Dak3PGD+U63LUbCMb4j1JUy1HWGSQxFxEVQ3evBdYee2SkxHTKWqBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T13:19:52.435812Z","bundle_sha256":"43acb4db5341afb40d4a93714b3fc76d037c168d5094ec4724e310b343399113"}}