{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FZOUXXT5I6XDVLVQENCBRQJBSY","short_pith_number":"pith:FZOUXXT5","canonical_record":{"source":{"id":"1812.09546","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-12-22T15:43:07Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"7d2f2bec1f71b4b96e812a58adea768f8696b07f78e98d8993384e793a172940","abstract_canon_sha256":"a04871569dfd7d6ffd47e0a1f47f4ae7f46ee555fcf07eb74e4101cfc69b27c7"},"schema_version":"1.0"},"canonical_sha256":"2e5d4bde7d47ae3aaeb0234418c1219631a0d74096ad9d891a8aaa28932ea8f3","source":{"kind":"arxiv","id":"1812.09546","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09546","created_at":"2026-05-17T23:43:42Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09546v2","created_at":"2026-05-17T23:43:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09546","created_at":"2026-05-17T23:43:42Z"},{"alias_kind":"pith_short_12","alias_value":"FZOUXXT5I6XD","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FZOUXXT5I6XDVLVQ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FZOUXXT5","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FZOUXXT5I6XDVLVQENCBRQJBSY","target":"record","payload":{"canonical_record":{"source":{"id":"1812.09546","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-12-22T15:43:07Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"7d2f2bec1f71b4b96e812a58adea768f8696b07f78e98d8993384e793a172940","abstract_canon_sha256":"a04871569dfd7d6ffd47e0a1f47f4ae7f46ee555fcf07eb74e4101cfc69b27c7"},"schema_version":"1.0"},"canonical_sha256":"2e5d4bde7d47ae3aaeb0234418c1219631a0d74096ad9d891a8aaa28932ea8f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:42.764328Z","signature_b64":"FxxEmH7g2IpYPWLHMPX29mrQ3ZP99+rnEOHxiSWe+GJJ5LfY9HlKLTL3sLcnLssHpd+Iwqz/lsu/1rcYdTZ7CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e5d4bde7d47ae3aaeb0234418c1219631a0d74096ad9d891a8aaa28932ea8f3","last_reissued_at":"2026-05-17T23:43:42.763787Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:42.763787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.09546","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":"2026-05-17T23:43:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2JehIn9pz9nKDRtELfQqinZ83YhQ+Ft/7e8+sJjBiqxhpJ9MppvcRWSBUtvJJ6C2U4zfOfve0PKN3A5GhzGiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:53:41.137257Z"},"content_sha256":"46f8e86e611573db37a8f9d6d18face2951cb8b13d56672cd1eab046cc3b5c20","schema_version":"1.0","event_id":"sha256:46f8e86e611573db37a8f9d6d18face2951cb8b13d56672cd1eab046cc3b5c20"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FZOUXXT5I6XDVLVQENCBRQJBSY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The observable $E_g$ statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Basundhara Ghosh, Ruth Durrer","submitted_at":"2018-12-22T15:43:07Z","abstract_excerpt":"Recently Moradinezhad Dizgah & Durrer have shown that the $E_g$ statistics, useful to test theories of modified gravity, is plagued by additional scale and bias dependent lensing contributions. In this work we develop and illustrate a method to remove these lensing terms by using in addition to the galaxy clustering data also shear data and the correlations of shear and galaxy clustering. We introduce a truly observable statistics termed $\\tilde E_g$ which conserves the properties of scale and bias independence on linear scales. The method discussed here is best adapted to photometric surveys."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09546","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":""},"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":"2026-05-17T23:43:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pSDoOAzjI0ylYvJrWR3qV0InaKuObP1c8a+Da+F+hSUwLVjEvpxiSUCnKz52VajiKDU7i7BWnd0wzZbvPZozAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:53:41.137627Z"},"content_sha256":"9cc371999fa6afec8b2051abbc26cdf162e665f0a8ee9147de6e957e476063fb","schema_version":"1.0","event_id":"sha256:9cc371999fa6afec8b2051abbc26cdf162e665f0a8ee9147de6e957e476063fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FZOUXXT5I6XDVLVQENCBRQJBSY/bundle.json","state_url":"https://pith.science/pith/FZOUXXT5I6XDVLVQENCBRQJBSY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FZOUXXT5I6XDVLVQENCBRQJBSY/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":"2026-05-28T04:53:41Z","links":{"resolver":"https://pith.science/pith/FZOUXXT5I6XDVLVQENCBRQJBSY","bundle":"https://pith.science/pith/FZOUXXT5I6XDVLVQENCBRQJBSY/bundle.json","state":"https://pith.science/pith/FZOUXXT5I6XDVLVQENCBRQJBSY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FZOUXXT5I6XDVLVQENCBRQJBSY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FZOUXXT5I6XDVLVQENCBRQJBSY","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":"a04871569dfd7d6ffd47e0a1f47f4ae7f46ee555fcf07eb74e4101cfc69b27c7","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-12-22T15:43:07Z","title_canon_sha256":"7d2f2bec1f71b4b96e812a58adea768f8696b07f78e98d8993384e793a172940"},"schema_version":"1.0","source":{"id":"1812.09546","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09546","created_at":"2026-05-17T23:43:42Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09546v2","created_at":"2026-05-17T23:43:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09546","created_at":"2026-05-17T23:43:42Z"},{"alias_kind":"pith_short_12","alias_value":"FZOUXXT5I6XD","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FZOUXXT5I6XDVLVQ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FZOUXXT5","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:9cc371999fa6afec8b2051abbc26cdf162e665f0a8ee9147de6e957e476063fb","target":"graph","created_at":"2026-05-17T23:43:42Z","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":"Recently Moradinezhad Dizgah & Durrer have shown that the $E_g$ statistics, useful to test theories of modified gravity, is plagued by additional scale and bias dependent lensing contributions. In this work we develop and illustrate a method to remove these lensing terms by using in addition to the galaxy clustering data also shear data and the correlations of shear and galaxy clustering. We introduce a truly observable statistics termed $\\tilde E_g$ which conserves the properties of scale and bias independence on linear scales. The method discussed here is best adapted to photometric surveys.","authors_text":"Basundhara Ghosh, Ruth Durrer","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-12-22T15:43:07Z","title":"The observable $E_g$ statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09546","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":"sha256:46f8e86e611573db37a8f9d6d18face2951cb8b13d56672cd1eab046cc3b5c20","target":"record","created_at":"2026-05-17T23:43:42Z","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":"a04871569dfd7d6ffd47e0a1f47f4ae7f46ee555fcf07eb74e4101cfc69b27c7","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-12-22T15:43:07Z","title_canon_sha256":"7d2f2bec1f71b4b96e812a58adea768f8696b07f78e98d8993384e793a172940"},"schema_version":"1.0","source":{"id":"1812.09546","kind":"arxiv","version":2}},"canonical_sha256":"2e5d4bde7d47ae3aaeb0234418c1219631a0d74096ad9d891a8aaa28932ea8f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e5d4bde7d47ae3aaeb0234418c1219631a0d74096ad9d891a8aaa28932ea8f3","first_computed_at":"2026-05-17T23:43:42.763787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:42.763787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FxxEmH7g2IpYPWLHMPX29mrQ3ZP99+rnEOHxiSWe+GJJ5LfY9HlKLTL3sLcnLssHpd+Iwqz/lsu/1rcYdTZ7CQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:42.764328Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09546","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46f8e86e611573db37a8f9d6d18face2951cb8b13d56672cd1eab046cc3b5c20","sha256:9cc371999fa6afec8b2051abbc26cdf162e665f0a8ee9147de6e957e476063fb"],"state_sha256":"4c008c597dadfbf3c8e5667300eb6e08bf4623ce9dfcf3c38f91ce57c8ab1d76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CsfDG3LtTSxgWXxThnPyD5oUUzWMhMi/QLNxcO7oQxBKs70jW5eVuIrtZmIo91ltIAHaEfb+6mEhDy24wf7TDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:53:41.139571Z","bundle_sha256":"4f971f109f675099b870a760bbec5bf84f1fe3f700a675651de76e734110492d"}}