{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:O374B3JI2V43GU5NEOVCXREKQK","short_pith_number":"pith:O374B3JI","canonical_record":{"source":{"id":"astro-ph/9702170","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1997-02-19T23:10:24Z","cross_cats_sorted":[],"title_canon_sha256":"40c55b029cccc70da59ce69d6a11539691b904ad1e240c06030cc38fe2a4a67e","abstract_canon_sha256":"a936b6bee7fae31915a3f587af375fd09deaba9904744661bffd5bcf1131f3fe"},"schema_version":"1.0"},"canonical_sha256":"76ffc0ed28d579b353ad23aa2bc48a828edebfa4bacca37d4e36494ba2e3ae40","source":{"kind":"arxiv","id":"astro-ph/9702170","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9702170","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9702170v3","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9702170","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"pith_short_12","alias_value":"O374B3JI2V43","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"pith_short_16","alias_value":"O374B3JI2V43GU5N","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"pith_short_8","alias_value":"O374B3JI","created_at":"2026-07-04T15:48:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:O374B3JI2V43GU5NEOVCXREKQK","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9702170","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1997-02-19T23:10:24Z","cross_cats_sorted":[],"title_canon_sha256":"40c55b029cccc70da59ce69d6a11539691b904ad1e240c06030cc38fe2a4a67e","abstract_canon_sha256":"a936b6bee7fae31915a3f587af375fd09deaba9904744661bffd5bcf1131f3fe"},"schema_version":"1.0"},"canonical_sha256":"76ffc0ed28d579b353ad23aa2bc48a828edebfa4bacca37d4e36494ba2e3ae40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:48:03.067990Z","signature_b64":"o6XRrA41TFht4KRP9ikPJom30NdFRr3w6U9ETrixb3I2xicmmxJ6CZWZWgoqWTvDo1AMUK0PQiI4PgfzaNbnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76ffc0ed28d579b353ad23aa2bc48a828edebfa4bacca37d4e36494ba2e3ae40","last_reissued_at":"2026-07-04T15:48:03.067650Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:48:03.067650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9702170","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":"2026-07-04T15:48:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FlSlYxq5EXGffI/C5O2IMweNi7bBCRzMpK/poXfFIcWqgTFHitT8a3xqFbWV2qqdfM01eSqKCTJC15F291e3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T04:58:10.558209Z"},"content_sha256":"c32ee1fd441d13bd74e98887141cd7487f1e1e6e6baa953f5b7cbc94f8239bc1","schema_version":"1.0","event_id":"sha256:c32ee1fd441d13bd74e98887141cd7487f1e1e6e6baa953f5b7cbc94f8239bc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:O374B3JI2V43GU5NEOVCXREKQK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CMB Anisotropies: Total Angular Momentum Method","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Martin White (U. Chicago), Princeton), Wayne Hu (IAS","submitted_at":"1997-02-19T23:10:24Z","abstract_excerpt":"A total angular momentum representation simplifies the radiation transport problem for temperature and polarization anisotropy in the CMB. Scattering terms couple only the quadrupole moments of the distributions and each moment corresponds directly to the observable angular pattern on the sky. We develop and employ these techniques to study the general properties of anisotropy generation from scalar, vector and tensor perturbations to the metric and the matter, both in the cosmological fluids and from any seed perturbations (e.g. defects) that may be present. The simpler, more transparent form"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9702170","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/9702170/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":"2026-07-04T15:48:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M9YoooTtBAPXnUB0kxg6cKNjCe/GcbXWCKV+zPAgNjBR+kQShwCU108WwhwjKm+WkAvvKufdg7TmWiEDRwa/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T04:58:10.558691Z"},"content_sha256":"539ce6494b816bb7440aaaf3b15db5c9043f1c769cf3c764bfe07d141c191ab6","schema_version":"1.0","event_id":"sha256:539ce6494b816bb7440aaaf3b15db5c9043f1c769cf3c764bfe07d141c191ab6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O374B3JI2V43GU5NEOVCXREKQK/bundle.json","state_url":"https://pith.science/pith/O374B3JI2V43GU5NEOVCXREKQK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O374B3JI2V43GU5NEOVCXREKQK/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":"2026-08-03T04:58:10Z","links":{"resolver":"https://pith.science/pith/O374B3JI2V43GU5NEOVCXREKQK","bundle":"https://pith.science/pith/O374B3JI2V43GU5NEOVCXREKQK/bundle.json","state":"https://pith.science/pith/O374B3JI2V43GU5NEOVCXREKQK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O374B3JI2V43GU5NEOVCXREKQK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:O374B3JI2V43GU5NEOVCXREKQK","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":"a936b6bee7fae31915a3f587af375fd09deaba9904744661bffd5bcf1131f3fe","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1997-02-19T23:10:24Z","title_canon_sha256":"40c55b029cccc70da59ce69d6a11539691b904ad1e240c06030cc38fe2a4a67e"},"schema_version":"1.0","source":{"id":"astro-ph/9702170","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9702170","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9702170v3","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9702170","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"pith_short_12","alias_value":"O374B3JI2V43","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"pith_short_16","alias_value":"O374B3JI2V43GU5N","created_at":"2026-07-04T15:48:03Z"},{"alias_kind":"pith_short_8","alias_value":"O374B3JI","created_at":"2026-07-04T15:48:03Z"}],"graph_snapshots":[{"event_id":"sha256:539ce6494b816bb7440aaaf3b15db5c9043f1c769cf3c764bfe07d141c191ab6","target":"graph","created_at":"2026-07-04T15:48:03Z","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/9702170/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A total angular momentum representation simplifies the radiation transport problem for temperature and polarization anisotropy in the CMB. Scattering terms couple only the quadrupole moments of the distributions and each moment corresponds directly to the observable angular pattern on the sky. We develop and employ these techniques to study the general properties of anisotropy generation from scalar, vector and tensor perturbations to the metric and the matter, both in the cosmological fluids and from any seed perturbations (e.g. defects) that may be present. The simpler, more transparent form","authors_text":"Martin White (U. Chicago), Princeton), Wayne Hu (IAS","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1997-02-19T23:10:24Z","title":"CMB Anisotropies: Total Angular Momentum Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9702170","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:c32ee1fd441d13bd74e98887141cd7487f1e1e6e6baa953f5b7cbc94f8239bc1","target":"record","created_at":"2026-07-04T15:48:03Z","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":"a936b6bee7fae31915a3f587af375fd09deaba9904744661bffd5bcf1131f3fe","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1997-02-19T23:10:24Z","title_canon_sha256":"40c55b029cccc70da59ce69d6a11539691b904ad1e240c06030cc38fe2a4a67e"},"schema_version":"1.0","source":{"id":"astro-ph/9702170","kind":"arxiv","version":3}},"canonical_sha256":"76ffc0ed28d579b353ad23aa2bc48a828edebfa4bacca37d4e36494ba2e3ae40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76ffc0ed28d579b353ad23aa2bc48a828edebfa4bacca37d4e36494ba2e3ae40","first_computed_at":"2026-07-04T15:48:03.067650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:48:03.067650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o6XRrA41TFht4KRP9ikPJom30NdFRr3w6U9ETrixb3I2xicmmxJ6CZWZWgoqWTvDo1AMUK0PQiI4PgfzaNbnAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:48:03.067990Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9702170","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c32ee1fd441d13bd74e98887141cd7487f1e1e6e6baa953f5b7cbc94f8239bc1","sha256:539ce6494b816bb7440aaaf3b15db5c9043f1c769cf3c764bfe07d141c191ab6"],"state_sha256":"10380e37dcc246058831770821dca82a997af961b526120a8e3b177c9a65f087"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0zNLHRAHPdPX491R/hIjeM46R/Ba3eTs/zmCXUavmCSk7H7Ta6v5uTTfobZ2Ms5GCPjHF1E/iHQk7k2eL/xMDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T04:58:10.562456Z","bundle_sha256":"5d461a5fb5ee319d93ff9e38149467df74dbf68ffa9a1ff855766de368db9dc4"}}