{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:RW4EBPK2QBAZJCEXWDTBMZNYZN","short_pith_number":"pith:RW4EBPK2","canonical_record":{"source":{"id":"astro-ph/9609149","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1996-09-22T22:14:56Z","cross_cats_sorted":[],"title_canon_sha256":"c041943c28b291ab969fd935507caa5a3489e258074814c71dfcf895ca88bd73","abstract_canon_sha256":"32bed53a70945261c67fa563474fab44657d5b4a998fa481950e29df84981800"},"schema_version":"1.0"},"canonical_sha256":"8db840bd5a8041948897b0e61665b8cb73dd6ad34c1dcc44400541b7f372ab70","source":{"kind":"arxiv","id":"astro-ph/9609149","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9609149","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9609149v1","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9609149","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"pith_short_12","alias_value":"RW4EBPK2QBAZ","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"pith_short_16","alias_value":"RW4EBPK2QBAZJCEX","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"pith_short_8","alias_value":"RW4EBPK2","created_at":"2026-07-04T14:14:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:RW4EBPK2QBAZJCEXWDTBMZNYZN","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9609149","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1996-09-22T22:14:56Z","cross_cats_sorted":[],"title_canon_sha256":"c041943c28b291ab969fd935507caa5a3489e258074814c71dfcf895ca88bd73","abstract_canon_sha256":"32bed53a70945261c67fa563474fab44657d5b4a998fa481950e29df84981800"},"schema_version":"1.0"},"canonical_sha256":"8db840bd5a8041948897b0e61665b8cb73dd6ad34c1dcc44400541b7f372ab70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:14:54.933323Z","signature_b64":"AtM+f+TNEhz7Clj53gD5Fa5FdGaX2F4NLeVgrleesWMkrKbOzZuHfCF8kYy7Gpr7qvAt2ZBx1pjZrrgJONRJCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8db840bd5a8041948897b0e61665b8cb73dd6ad34c1dcc44400541b7f372ab70","last_reissued_at":"2026-07-04T14:14:54.932913Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:14:54.932913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9609149","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":"2026-07-04T14:14:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I/aR1IzUajupjAyw5+JYiMqs9AVqwYXSh4tO9Uxo/yayPQVf2aCIYkqLiCzAH8U/z/OL+PVtu+/XTIv9uNVyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:23:17.100547Z"},"content_sha256":"aa0924f92f5e3b507f3bb79d1e52ff4b4012b3e4493d6a423c5ee166abafc02a","schema_version":"1.0","event_id":"sha256:aa0924f92f5e3b507f3bb79d1e52ff4b4012b3e4493d6a423c5ee166abafc02a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:RW4EBPK2QBAZJCEXWDTBMZNYZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak Lensing On the Celestial Sphere","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Albert Stebbins","submitted_at":"1996-09-22T22:14:56Z","abstract_excerpt":"This paper details a description of the pattern of galaxy image distortion over the entire sky caused by the gravitational lensing which is the result of large scale inhomogeneities in our universe. We present a tensor spherical harmonic formalism to describe this pattern, giving many useful formulae. This is applied to density inhomogeneities, where we compute the angular power spectrum of the shear pattern, as well as the noise properties due to finite galaxy sampling and cosmic variance. We show that a detectable level of shear is present for very nearby galaxies, $z\\simlt0.2$. For such a s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9609149","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/9609149/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":"2026-07-04T14:14:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2WTolgBU6S5RUweX1dJPwm2JidQ9HDxARNQP6wAhgqEDIlYvb7JXhJ2FR6R63bKJTZtrSG3Ru1T+ihC6BY5JCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:23:17.101084Z"},"content_sha256":"0710b3d04b706a5043ecd31659cdce059ce9008db038945c9428ee23165fb92d","schema_version":"1.0","event_id":"sha256:0710b3d04b706a5043ecd31659cdce059ce9008db038945c9428ee23165fb92d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RW4EBPK2QBAZJCEXWDTBMZNYZN/bundle.json","state_url":"https://pith.science/pith/RW4EBPK2QBAZJCEXWDTBMZNYZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RW4EBPK2QBAZJCEXWDTBMZNYZN/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":"2026-08-03T18:23:17Z","links":{"resolver":"https://pith.science/pith/RW4EBPK2QBAZJCEXWDTBMZNYZN","bundle":"https://pith.science/pith/RW4EBPK2QBAZJCEXWDTBMZNYZN/bundle.json","state":"https://pith.science/pith/RW4EBPK2QBAZJCEXWDTBMZNYZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RW4EBPK2QBAZJCEXWDTBMZNYZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:RW4EBPK2QBAZJCEXWDTBMZNYZN","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":"32bed53a70945261c67fa563474fab44657d5b4a998fa481950e29df84981800","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-09-22T22:14:56Z","title_canon_sha256":"c041943c28b291ab969fd935507caa5a3489e258074814c71dfcf895ca88bd73"},"schema_version":"1.0","source":{"id":"astro-ph/9609149","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9609149","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9609149v1","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9609149","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"pith_short_12","alias_value":"RW4EBPK2QBAZ","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"pith_short_16","alias_value":"RW4EBPK2QBAZJCEX","created_at":"2026-07-04T14:14:54Z"},{"alias_kind":"pith_short_8","alias_value":"RW4EBPK2","created_at":"2026-07-04T14:14:54Z"}],"graph_snapshots":[{"event_id":"sha256:0710b3d04b706a5043ecd31659cdce059ce9008db038945c9428ee23165fb92d","target":"graph","created_at":"2026-07-04T14:14:54Z","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/9609149/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper details a description of the pattern of galaxy image distortion over the entire sky caused by the gravitational lensing which is the result of large scale inhomogeneities in our universe. We present a tensor spherical harmonic formalism to describe this pattern, giving many useful formulae. This is applied to density inhomogeneities, where we compute the angular power spectrum of the shear pattern, as well as the noise properties due to finite galaxy sampling and cosmic variance. We show that a detectable level of shear is present for very nearby galaxies, $z\\simlt0.2$. For such a s","authors_text":"Albert Stebbins","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1996-09-22T22:14:56Z","title":"Weak Lensing On the Celestial Sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9609149","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:aa0924f92f5e3b507f3bb79d1e52ff4b4012b3e4493d6a423c5ee166abafc02a","target":"record","created_at":"2026-07-04T14:14:54Z","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":"32bed53a70945261c67fa563474fab44657d5b4a998fa481950e29df84981800","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-09-22T22:14:56Z","title_canon_sha256":"c041943c28b291ab969fd935507caa5a3489e258074814c71dfcf895ca88bd73"},"schema_version":"1.0","source":{"id":"astro-ph/9609149","kind":"arxiv","version":1}},"canonical_sha256":"8db840bd5a8041948897b0e61665b8cb73dd6ad34c1dcc44400541b7f372ab70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8db840bd5a8041948897b0e61665b8cb73dd6ad34c1dcc44400541b7f372ab70","first_computed_at":"2026-07-04T14:14:54.932913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:14:54.932913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AtM+f+TNEhz7Clj53gD5Fa5FdGaX2F4NLeVgrleesWMkrKbOzZuHfCF8kYy7Gpr7qvAt2ZBx1pjZrrgJONRJCA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:14:54.933323Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9609149","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa0924f92f5e3b507f3bb79d1e52ff4b4012b3e4493d6a423c5ee166abafc02a","sha256:0710b3d04b706a5043ecd31659cdce059ce9008db038945c9428ee23165fb92d"],"state_sha256":"edf04e112acce918551e4d575da8122456b954447b6dff65d83ab99ca9b00355"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mZB3VYgCM+MD3yAsk38pB57f1ve2WMh7iSkO5Ac7JnQ3k9IpjEUgj8kC0/tdCiQXkbiqA6CQrRZQQqO9+GGHAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T18:23:17.104978Z","bundle_sha256":"5ac205beb29b2536ff3709aff963d2fa1f8cad1739410b26da8dffdde733ef45"}}