{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7GBRA7YKSBA5IXL6SRJ4WKU7VF","short_pith_number":"pith:7GBRA7YK","canonical_record":{"source":{"id":"1202.1927","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-09T09:33:02Z","cross_cats_sorted":[],"title_canon_sha256":"127af6aca5c4694c4a7996c8e46869f499d5675ac89705490a19aaa096a5c7f3","abstract_canon_sha256":"45e411c85516012a9efae39079cf5c23a8223d303a3de5f331df90264702eae9"},"schema_version":"1.0"},"canonical_sha256":"f983107f0a9041d45d7e9453cb2a9fa9630e874a2d4e2827293ea85f426b08a5","source":{"kind":"arxiv","id":"1202.1927","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1927","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1927v3","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1927","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"pith_short_12","alias_value":"7GBRA7YKSBA5","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7GBRA7YKSBA5IXL6","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7GBRA7YK","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7GBRA7YKSBA5IXL6SRJ4WKU7VF","target":"record","payload":{"canonical_record":{"source":{"id":"1202.1927","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-09T09:33:02Z","cross_cats_sorted":[],"title_canon_sha256":"127af6aca5c4694c4a7996c8e46869f499d5675ac89705490a19aaa096a5c7f3","abstract_canon_sha256":"45e411c85516012a9efae39079cf5c23a8223d303a3de5f331df90264702eae9"},"schema_version":"1.0"},"canonical_sha256":"f983107f0a9041d45d7e9453cb2a9fa9630e874a2d4e2827293ea85f426b08a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:31.899965Z","signature_b64":"EpIYco04nwQZI2gE0knX6626AS42jZYDGWMYEE1XiW7SYUCD6dL+5S4BOuiqpbykC8XHu0A02bfMYB9QpwgjCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f983107f0a9041d45d7e9453cb2a9fa9630e874a2d4e2827293ea85f426b08a5","last_reissued_at":"2026-05-18T01:58:31.899359Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:31.899359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.1927","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":"2026-05-18T01:58:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KViBsRwXp76il6vtw/WxEe5/uAqFMZUTl25cXCqZdCKZkZL4fDATkJSeDaTvuBGYLzPx5yFnFU3nIMc8yjqNDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:45:13.751688Z"},"content_sha256":"54680456ac13128a3d3726e7305b96b8da50fef30c3449aaf42028cc7f64d447","schema_version":"1.0","event_id":"sha256:54680456ac13128a3d3726e7305b96b8da50fef30c3449aaf42028cc7f64d447"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7GBRA7YKSBA5IXL6SRJ4WKU7VF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards an understanding of third-order galaxy-galaxy lensing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Daniela K\\\"ubler, Patrick Simon, Peter Schneider","submitted_at":"2012-02-09T09:33:02Z","abstract_excerpt":"Third-order galaxy-galaxy lensing (G3L) is a next generation galaxy-galaxy lensing technique that either measures the excess shear about lens pairs or the excess shear-shear correlations about lenses. It is clear that these statistics assess the three-point correlations between galaxy positions and projected matter density. For future applications of these novel statistics, we aim at a more intuitive understanding of G3L to isolate the main features that possibly can be measured. We construct a toy model (\"isolated lens model\"; ILM) for the distribution of galaxies and associated matter to det"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1927","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":""},"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":"2026-05-18T01:58:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kDZvyTRJ35PX2jJG5ZuvmUTL7Mxu0vRLtIfPnOdZgKsbyGNzb2rqHrUW5rMJ3U89EeIr+kon/jJd8ro4DnZgCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:45:13.752036Z"},"content_sha256":"49abd1a3a1d118959e02277d06b49e9a70b8a58cf9205a36883c94bd08a815e1","schema_version":"1.0","event_id":"sha256:49abd1a3a1d118959e02277d06b49e9a70b8a58cf9205a36883c94bd08a815e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GBRA7YKSBA5IXL6SRJ4WKU7VF/bundle.json","state_url":"https://pith.science/pith/7GBRA7YKSBA5IXL6SRJ4WKU7VF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GBRA7YKSBA5IXL6SRJ4WKU7VF/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":"2026-06-01T11:45:13Z","links":{"resolver":"https://pith.science/pith/7GBRA7YKSBA5IXL6SRJ4WKU7VF","bundle":"https://pith.science/pith/7GBRA7YKSBA5IXL6SRJ4WKU7VF/bundle.json","state":"https://pith.science/pith/7GBRA7YKSBA5IXL6SRJ4WKU7VF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GBRA7YKSBA5IXL6SRJ4WKU7VF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7GBRA7YKSBA5IXL6SRJ4WKU7VF","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":"45e411c85516012a9efae39079cf5c23a8223d303a3de5f331df90264702eae9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-09T09:33:02Z","title_canon_sha256":"127af6aca5c4694c4a7996c8e46869f499d5675ac89705490a19aaa096a5c7f3"},"schema_version":"1.0","source":{"id":"1202.1927","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1927","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1927v3","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1927","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"pith_short_12","alias_value":"7GBRA7YKSBA5","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7GBRA7YKSBA5IXL6","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7GBRA7YK","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:49abd1a3a1d118959e02277d06b49e9a70b8a58cf9205a36883c94bd08a815e1","target":"graph","created_at":"2026-05-18T01:58:31Z","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":"Third-order galaxy-galaxy lensing (G3L) is a next generation galaxy-galaxy lensing technique that either measures the excess shear about lens pairs or the excess shear-shear correlations about lenses. It is clear that these statistics assess the three-point correlations between galaxy positions and projected matter density. For future applications of these novel statistics, we aim at a more intuitive understanding of G3L to isolate the main features that possibly can be measured. We construct a toy model (\"isolated lens model\"; ILM) for the distribution of galaxies and associated matter to det","authors_text":"Daniela K\\\"ubler, Patrick Simon, Peter Schneider","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-09T09:33:02Z","title":"Towards an understanding of third-order galaxy-galaxy lensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1927","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":"sha256:54680456ac13128a3d3726e7305b96b8da50fef30c3449aaf42028cc7f64d447","target":"record","created_at":"2026-05-18T01:58:31Z","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":"45e411c85516012a9efae39079cf5c23a8223d303a3de5f331df90264702eae9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-02-09T09:33:02Z","title_canon_sha256":"127af6aca5c4694c4a7996c8e46869f499d5675ac89705490a19aaa096a5c7f3"},"schema_version":"1.0","source":{"id":"1202.1927","kind":"arxiv","version":3}},"canonical_sha256":"f983107f0a9041d45d7e9453cb2a9fa9630e874a2d4e2827293ea85f426b08a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f983107f0a9041d45d7e9453cb2a9fa9630e874a2d4e2827293ea85f426b08a5","first_computed_at":"2026-05-18T01:58:31.899359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:31.899359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EpIYco04nwQZI2gE0knX6626AS42jZYDGWMYEE1XiW7SYUCD6dL+5S4BOuiqpbykC8XHu0A02bfMYB9QpwgjCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:31.899965Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.1927","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54680456ac13128a3d3726e7305b96b8da50fef30c3449aaf42028cc7f64d447","sha256:49abd1a3a1d118959e02277d06b49e9a70b8a58cf9205a36883c94bd08a815e1"],"state_sha256":"21dc7fcd633ebcc7c536f74261b1f23ffe4468a42234386843ba2449cf12cd70"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lOCUZh1sRgc8sHfWKFekfafnpp2hAuefdHRq0y/CxB4YodqKz40us6HUFRr4+2Xowx4E0M00yC8VVExfC7mPCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:45:13.754034Z","bundle_sha256":"d88a24371d819f8e2d852e52fe0b443e8d614b201d1637b1ee6645b37825de88"}}