{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AGSHV6PUY4OLUQGUTCQA26BMO2","short_pith_number":"pith:AGSHV6PU","canonical_record":{"source":{"id":"1603.09073","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-03-30T08:26:17Z","cross_cats_sorted":[],"title_canon_sha256":"53a0574ce646cdf5810b9ddd33b375960a447d4167d9cd7f8d040a66d61d4ae2","abstract_canon_sha256":"3c38577f6fe7131b24d81a2f29f1e1a5721de9f265b7eab65bcab2682bf8cf6e"},"schema_version":"1.0"},"canonical_sha256":"01a47af9f4c71cba40d498a00d782c76a7affee734b2d38a7860eff98ebf4d78","source":{"kind":"arxiv","id":"1603.09073","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.09073","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1603.09073v2","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.09073","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"AGSHV6PUY4OL","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AGSHV6PUY4OLUQGU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AGSHV6PU","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AGSHV6PUY4OLUQGUTCQA26BMO2","target":"record","payload":{"canonical_record":{"source":{"id":"1603.09073","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-03-30T08:26:17Z","cross_cats_sorted":[],"title_canon_sha256":"53a0574ce646cdf5810b9ddd33b375960a447d4167d9cd7f8d040a66d61d4ae2","abstract_canon_sha256":"3c38577f6fe7131b24d81a2f29f1e1a5721de9f265b7eab65bcab2682bf8cf6e"},"schema_version":"1.0"},"canonical_sha256":"01a47af9f4c71cba40d498a00d782c76a7affee734b2d38a7860eff98ebf4d78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:48.628027Z","signature_b64":"U5d8TDfFvH299jFDEe/WIqYSvOqm/5wgcDO3ZSAus6aMTQuMpxOOCfDCyQq+7tvC+pCLC0xhlCaqvCZCh9OjCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01a47af9f4c71cba40d498a00d782c76a7affee734b2d38a7860eff98ebf4d78","last_reissued_at":"2026-05-18T01:12:48.627660Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:48.627660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.09073","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":"2026-05-18T01:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7OuluHYv3ry67+newfratjzqo6yx/o1wBADZuFyhFEsrLz+hggXc8qWbIlPxbFcHpEie54dfWqRbyunmNCgSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:30:44.559206Z"},"content_sha256":"ba1374dfb0bf351aba5e66c79a42ac5d9086c98cf8fd0ddeea846b28c754c6f8","schema_version":"1.0","event_id":"sha256:ba1374dfb0bf351aba5e66c79a42ac5d9086c98cf8fd0ddeea846b28c754c6f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AGSHV6PUY4OLUQGUTCQA26BMO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curvature constraints from Large Scale Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alvise Raccanelli, Enea Di Dio, Francesco Montanari, Julien Lesgourgues, Marc Kamionkowski, Ruth Durrer","submitted_at":"2016-03-30T08:26:17Z","abstract_excerpt":"We modified the CLASS code in order to include relativistic galaxy number counts in spatially curved geometries; we present the formalism and study the effect of relativistic corrections on spatial curvature. The new version of the code is now publicly available. Using a Fisher matrix analysis, we investigate how measurements of the spatial curvature parameter $\\Omega_K$ with future galaxy surveys are affected by relativistic effects, which influence observations of the large scale galaxy distribution. These effects include contributions from cosmic magnification, Doppler terms and terms invol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09073","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":"2026-05-18T01:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JWA4Iuk1f73+nXA1grjOSY/cgBdN4V403wIAGG2vLplWmsPfnGhABy9LzRDH51bNz3WUUskT7NSwXXV47oz6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:30:44.559560Z"},"content_sha256":"0668d67aae835b178e0e6e7f574c09bf602ebe18be01b5e703e107030f569e13","schema_version":"1.0","event_id":"sha256:0668d67aae835b178e0e6e7f574c09bf602ebe18be01b5e703e107030f569e13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AGSHV6PUY4OLUQGUTCQA26BMO2/bundle.json","state_url":"https://pith.science/pith/AGSHV6PUY4OLUQGUTCQA26BMO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AGSHV6PUY4OLUQGUTCQA26BMO2/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":"2026-06-01T08:30:44Z","links":{"resolver":"https://pith.science/pith/AGSHV6PUY4OLUQGUTCQA26BMO2","bundle":"https://pith.science/pith/AGSHV6PUY4OLUQGUTCQA26BMO2/bundle.json","state":"https://pith.science/pith/AGSHV6PUY4OLUQGUTCQA26BMO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AGSHV6PUY4OLUQGUTCQA26BMO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AGSHV6PUY4OLUQGUTCQA26BMO2","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":"3c38577f6fe7131b24d81a2f29f1e1a5721de9f265b7eab65bcab2682bf8cf6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-03-30T08:26:17Z","title_canon_sha256":"53a0574ce646cdf5810b9ddd33b375960a447d4167d9cd7f8d040a66d61d4ae2"},"schema_version":"1.0","source":{"id":"1603.09073","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.09073","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1603.09073v2","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.09073","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"AGSHV6PUY4OL","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AGSHV6PUY4OLUQGU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AGSHV6PU","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:0668d67aae835b178e0e6e7f574c09bf602ebe18be01b5e703e107030f569e13","target":"graph","created_at":"2026-05-18T01:12:48Z","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":"We modified the CLASS code in order to include relativistic galaxy number counts in spatially curved geometries; we present the formalism and study the effect of relativistic corrections on spatial curvature. The new version of the code is now publicly available. Using a Fisher matrix analysis, we investigate how measurements of the spatial curvature parameter $\\Omega_K$ with future galaxy surveys are affected by relativistic effects, which influence observations of the large scale galaxy distribution. These effects include contributions from cosmic magnification, Doppler terms and terms invol","authors_text":"Alvise Raccanelli, Enea Di Dio, Francesco Montanari, Julien Lesgourgues, Marc Kamionkowski, Ruth Durrer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-03-30T08:26:17Z","title":"Curvature constraints from Large Scale Structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09073","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:ba1374dfb0bf351aba5e66c79a42ac5d9086c98cf8fd0ddeea846b28c754c6f8","target":"record","created_at":"2026-05-18T01:12:48Z","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":"3c38577f6fe7131b24d81a2f29f1e1a5721de9f265b7eab65bcab2682bf8cf6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-03-30T08:26:17Z","title_canon_sha256":"53a0574ce646cdf5810b9ddd33b375960a447d4167d9cd7f8d040a66d61d4ae2"},"schema_version":"1.0","source":{"id":"1603.09073","kind":"arxiv","version":2}},"canonical_sha256":"01a47af9f4c71cba40d498a00d782c76a7affee734b2d38a7860eff98ebf4d78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01a47af9f4c71cba40d498a00d782c76a7affee734b2d38a7860eff98ebf4d78","first_computed_at":"2026-05-18T01:12:48.627660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:48.627660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U5d8TDfFvH299jFDEe/WIqYSvOqm/5wgcDO3ZSAus6aMTQuMpxOOCfDCyQq+7tvC+pCLC0xhlCaqvCZCh9OjCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:48.628027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.09073","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba1374dfb0bf351aba5e66c79a42ac5d9086c98cf8fd0ddeea846b28c754c6f8","sha256:0668d67aae835b178e0e6e7f574c09bf602ebe18be01b5e703e107030f569e13"],"state_sha256":"24dcc980452b5e5253fb881c519b2afe72731209bafd2a2a5b1a11d03adc30a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xSAEEfKs8GtobYUMKiSB1zAS124XQh42u+opR9k0ZuSaXWpwRA0zpD2dpisrF6lsnENq79pH4R9mmppuDRefDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T08:30:44.561486Z","bundle_sha256":"5c3f6bea2a2c4f4c5cd93cb17f5af30936c21bb33aa5f1215c922a2fade7c896"}}