{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:UGCNLM5774Z4RLAQI43PBCH2BH","short_pith_number":"pith:UGCNLM57","canonical_record":{"source":{"id":"2607.03514","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-03T17:39:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3d1158ccae7b42eab9f9351eceba86ae2e02c454eea69b91389776d3f08e21fb","abstract_canon_sha256":"32e361d45c02ccd970ab1f42fe152ce2c0feedbb0d1f12671777f12b21767285"},"schema_version":"1.0"},"canonical_sha256":"a184d5b3bfff33c8ac104736f088fa09fdf20adec36275fddd7fc1b72b393dbf","source":{"kind":"arxiv","id":"2607.03514","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.03514","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"arxiv_version","alias_value":"2607.03514v1","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.03514","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"pith_short_12","alias_value":"UGCNLM5774Z4","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"pith_short_16","alias_value":"UGCNLM5774Z4RLAQ","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"pith_short_8","alias_value":"UGCNLM57","created_at":"2026-07-07T02:17:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:UGCNLM5774Z4RLAQI43PBCH2BH","target":"record","payload":{"canonical_record":{"source":{"id":"2607.03514","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-03T17:39:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3d1158ccae7b42eab9f9351eceba86ae2e02c454eea69b91389776d3f08e21fb","abstract_canon_sha256":"32e361d45c02ccd970ab1f42fe152ce2c0feedbb0d1f12671777f12b21767285"},"schema_version":"1.0"},"canonical_sha256":"a184d5b3bfff33c8ac104736f088fa09fdf20adec36275fddd7fc1b72b393dbf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T02:17:51.228293Z","signature_b64":"Eq+SIU8LbewCrENtmS5NA8uUQHdhpH2SCajtpY+S2Oh6MrmomCRfAEas0CTAUd0lm1tu2tW3DvDtJ4egm8QLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a184d5b3bfff33c8ac104736f088fa09fdf20adec36275fddd7fc1b72b393dbf","last_reissued_at":"2026-07-07T02:17:51.227500Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T02:17:51.227500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.03514","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":"2026-07-07T02:17:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+x7NhduL1nazv0u5k5d9jZBOjpSI6N5x6oM8bTkSPonRIRtehIIKXSzkAl2fshTl3wTxLs7cX+aCsdykx8PwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T16:28:48.071842Z"},"content_sha256":"0ddd3a6d99ee8308966ce73145dac8c221c0574b739962f3542d9e2967a9ea1d","schema_version":"1.0","event_id":"sha256:0ddd3a6d99ee8308966ce73145dac8c221c0574b739962f3542d9e2967a9ea1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:UGCNLM5774Z4RLAQI43PBCH2BH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Disentangling modified gravity and galaxy bias with field-level inference","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Daniela Saadeh, Harry Desmond, Kazuya Koyama, Sophie Hoyland","submitted_at":"2026-07-03T17:39:29Z","abstract_excerpt":"We present a field-level inference framework for testing gravity with the large-scale structure that exploits the full information content of the galaxy distribution. Traditional analyses based on the power spectrum discard non-Gaussian and Fourier phase information, resulting in strong degeneracies between modified gravity (MG) and galaxy bias. Our approach overcomes this limitation by performing a Bayesian likelihood analysis directly on the three-dimensional galaxy number counts field, jointly constraining MG and bias parameters using both amplitudes and phases. As an illustrative applicati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03514","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/2607.03514/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":"2026-07-07T02:17:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+aVnWj54n3dzddAFD12z3y7VqkpyncwwpD71nwe7F8aQVRQJxswup41MK/Zzxus+A+vaQocn3pxwbSQ6TtIdAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T16:28:48.072381Z"},"content_sha256":"7d7233d844176d8b6ee097805fcada445b8e1cb99c0f2a6698749bdb329f4381","schema_version":"1.0","event_id":"sha256:7d7233d844176d8b6ee097805fcada445b8e1cb99c0f2a6698749bdb329f4381"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGCNLM5774Z4RLAQI43PBCH2BH/bundle.json","state_url":"https://pith.science/pith/UGCNLM5774Z4RLAQI43PBCH2BH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGCNLM5774Z4RLAQI43PBCH2BH/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":"2026-08-01T16:28:48Z","links":{"resolver":"https://pith.science/pith/UGCNLM5774Z4RLAQI43PBCH2BH","bundle":"https://pith.science/pith/UGCNLM5774Z4RLAQI43PBCH2BH/bundle.json","state":"https://pith.science/pith/UGCNLM5774Z4RLAQI43PBCH2BH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGCNLM5774Z4RLAQI43PBCH2BH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UGCNLM5774Z4RLAQI43PBCH2BH","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":"32e361d45c02ccd970ab1f42fe152ce2c0feedbb0d1f12671777f12b21767285","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-03T17:39:29Z","title_canon_sha256":"3d1158ccae7b42eab9f9351eceba86ae2e02c454eea69b91389776d3f08e21fb"},"schema_version":"1.0","source":{"id":"2607.03514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.03514","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"arxiv_version","alias_value":"2607.03514v1","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.03514","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"pith_short_12","alias_value":"UGCNLM5774Z4","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"pith_short_16","alias_value":"UGCNLM5774Z4RLAQ","created_at":"2026-07-07T02:17:51Z"},{"alias_kind":"pith_short_8","alias_value":"UGCNLM57","created_at":"2026-07-07T02:17:51Z"}],"graph_snapshots":[{"event_id":"sha256:7d7233d844176d8b6ee097805fcada445b8e1cb99c0f2a6698749bdb329f4381","target":"graph","created_at":"2026-07-07T02:17:51Z","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/2607.03514/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a field-level inference framework for testing gravity with the large-scale structure that exploits the full information content of the galaxy distribution. Traditional analyses based on the power spectrum discard non-Gaussian and Fourier phase information, resulting in strong degeneracies between modified gravity (MG) and galaxy bias. Our approach overcomes this limitation by performing a Bayesian likelihood analysis directly on the three-dimensional galaxy number counts field, jointly constraining MG and bias parameters using both amplitudes and phases. As an illustrative applicati","authors_text":"Daniela Saadeh, Harry Desmond, Kazuya Koyama, Sophie Hoyland","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-03T17:39:29Z","title":"Disentangling modified gravity and galaxy bias with field-level inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03514","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":"sha256:0ddd3a6d99ee8308966ce73145dac8c221c0574b739962f3542d9e2967a9ea1d","target":"record","created_at":"2026-07-07T02:17:51Z","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":"32e361d45c02ccd970ab1f42fe152ce2c0feedbb0d1f12671777f12b21767285","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-03T17:39:29Z","title_canon_sha256":"3d1158ccae7b42eab9f9351eceba86ae2e02c454eea69b91389776d3f08e21fb"},"schema_version":"1.0","source":{"id":"2607.03514","kind":"arxiv","version":1}},"canonical_sha256":"a184d5b3bfff33c8ac104736f088fa09fdf20adec36275fddd7fc1b72b393dbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a184d5b3bfff33c8ac104736f088fa09fdf20adec36275fddd7fc1b72b393dbf","first_computed_at":"2026-07-07T02:17:51.227500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T02:17:51.227500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eq+SIU8LbewCrENtmS5NA8uUQHdhpH2SCajtpY+S2Oh6MrmomCRfAEas0CTAUd0lm1tu2tW3DvDtJ4egm8QLDw==","signature_status":"signed_v1","signed_at":"2026-07-07T02:17:51.228293Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.03514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ddd3a6d99ee8308966ce73145dac8c221c0574b739962f3542d9e2967a9ea1d","sha256:7d7233d844176d8b6ee097805fcada445b8e1cb99c0f2a6698749bdb329f4381"],"state_sha256":"f02c020fb18f581b55ceeadb88c012930c4c54cd3ad358a857f7898c440b307e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+xhEPHhzQZlV2ajqTImZ9TQlF+Qhrjkx3bLyJY8jQxfEdFz7tTaLaPsMhHFB1Ziqw2hudXsflzYw5JS+E5GQAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T16:28:48.078259Z","bundle_sha256":"d34aab9309a93ec065fc0beb70b509df312c2e87be66d3256631adad1656b0d8"}}