{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:WZ3ANE3CFMAOBVNJC7LZED33EO","short_pith_number":"pith:WZ3ANE3C","canonical_record":{"source":{"id":"2112.00012","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-11-30T19:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"fb32ba8620f70057947dfa63c7d64209240f74e352ead129cd83efa6c55f77d9","abstract_canon_sha256":"bfe18f1d5474ed8cac8e7911e68f073ca92aa444e66aaeaafb4eb37a37d2543e"},"schema_version":"1.0"},"canonical_sha256":"b6760693622b00e0d5a917d7920f7b23aebaf9068ded9fa8a8bc094e664e3970","source":{"kind":"arxiv","id":"2112.00012","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.00012","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"arxiv_version","alias_value":"2112.00012v2","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.00012","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"pith_short_12","alias_value":"WZ3ANE3CFMAO","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"WZ3ANE3CFMAOBVNJ","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"WZ3ANE3C","created_at":"2026-07-05T04:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:WZ3ANE3CFMAOBVNJC7LZED33EO","target":"record","payload":{"canonical_record":{"source":{"id":"2112.00012","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-11-30T19:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"fb32ba8620f70057947dfa63c7d64209240f74e352ead129cd83efa6c55f77d9","abstract_canon_sha256":"bfe18f1d5474ed8cac8e7911e68f073ca92aa444e66aaeaafb4eb37a37d2543e"},"schema_version":"1.0"},"canonical_sha256":"b6760693622b00e0d5a917d7920f7b23aebaf9068ded9fa8a8bc094e664e3970","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:29:27.662433Z","signature_b64":"DLRRYJqEGnszhdVgZ+oUrUWI5pPUfTnAC3kTeZdN9abkDI+aYsKsJWb8yhpUJwhmjPRv7YY5mBosEV0J5KBgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6760693622b00e0d5a917d7920f7b23aebaf9068ded9fa8a8bc094e664e3970","last_reissued_at":"2026-07-05T04:29:27.661927Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:29:27.661927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.00012","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":"2026-07-05T04:29:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gxvdh94p+xTmdIJXsVN0KHXKJvCoriLjn8Ix9TBMqnW6hsLhSn1B6UO5JTKOmo2tsWVGx9qXfS1ZYf2jIs64AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:43:33.328876Z"},"content_sha256":"b83e29834466d3789074896de35c61f7808c389d5731954853e0b57e505410c5","schema_version":"1.0","event_id":"sha256:b83e29834466d3789074896de35c61f7808c389d5731954853e0b57e505410c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:WZ3ANE3CFMAOBVNJC7LZED33EO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Priors on red galaxy stochasticity from hybrid effective field theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Joseph DeRose, Martin White, Nickolas Kokron, Risa H. Wechsler, Shi-Fan Chen","submitted_at":"2021-11-30T19:00:00Z","abstract_excerpt":"We investigate the stochastic properties of typical red galaxy samples in a controlled numerical environment. We use Halo Occupation Distribution (HOD) modelling to create mock realizations of three separate bright red galaxy samples consistent with datasets used for clustering and lensing analyses in modern galaxy surveys. Second-order Hybrid Effective Field Theory (HEFT) is used as a field-level forward model to describe the full statistical distribution of these tracer samples, and their stochastic power spectra are directly measured and compared to the Poisson shot-noise prediction. While "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.00012","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.00012/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":"2026-07-05T04:29:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HGFkbDR/Vvy+ZrSFUZdHg/UuZ4xEMml1AumbwBDMhb6B1wiSMcdNHIkB/ZnZgxJF5YiXVvSNKgvuX6vSZS5nDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:43:33.329847Z"},"content_sha256":"16ee67eb390baba96ed33d4cf82afd68de512dcd36189aac3c6686b345a2a596","schema_version":"1.0","event_id":"sha256:16ee67eb390baba96ed33d4cf82afd68de512dcd36189aac3c6686b345a2a596"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZ3ANE3CFMAOBVNJC7LZED33EO/bundle.json","state_url":"https://pith.science/pith/WZ3ANE3CFMAOBVNJC7LZED33EO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZ3ANE3CFMAOBVNJC7LZED33EO/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":"2026-08-04T18:43:33Z","links":{"resolver":"https://pith.science/pith/WZ3ANE3CFMAOBVNJC7LZED33EO","bundle":"https://pith.science/pith/WZ3ANE3CFMAOBVNJC7LZED33EO/bundle.json","state":"https://pith.science/pith/WZ3ANE3CFMAOBVNJC7LZED33EO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZ3ANE3CFMAOBVNJC7LZED33EO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:WZ3ANE3CFMAOBVNJC7LZED33EO","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":"bfe18f1d5474ed8cac8e7911e68f073ca92aa444e66aaeaafb4eb37a37d2543e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-11-30T19:00:00Z","title_canon_sha256":"fb32ba8620f70057947dfa63c7d64209240f74e352ead129cd83efa6c55f77d9"},"schema_version":"1.0","source":{"id":"2112.00012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.00012","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"arxiv_version","alias_value":"2112.00012v2","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.00012","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"pith_short_12","alias_value":"WZ3ANE3CFMAO","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"WZ3ANE3CFMAOBVNJ","created_at":"2026-07-05T04:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"WZ3ANE3C","created_at":"2026-07-05T04:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:16ee67eb390baba96ed33d4cf82afd68de512dcd36189aac3c6686b345a2a596","target":"graph","created_at":"2026-07-05T04:29:27Z","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/2112.00012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the stochastic properties of typical red galaxy samples in a controlled numerical environment. We use Halo Occupation Distribution (HOD) modelling to create mock realizations of three separate bright red galaxy samples consistent with datasets used for clustering and lensing analyses in modern galaxy surveys. Second-order Hybrid Effective Field Theory (HEFT) is used as a field-level forward model to describe the full statistical distribution of these tracer samples, and their stochastic power spectra are directly measured and compared to the Poisson shot-noise prediction. While ","authors_text":"Joseph DeRose, Martin White, Nickolas Kokron, Risa H. Wechsler, Shi-Fan Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-11-30T19:00:00Z","title":"Priors on red galaxy stochasticity from hybrid effective field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.00012","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:b83e29834466d3789074896de35c61f7808c389d5731954853e0b57e505410c5","target":"record","created_at":"2026-07-05T04:29:27Z","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":"bfe18f1d5474ed8cac8e7911e68f073ca92aa444e66aaeaafb4eb37a37d2543e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-11-30T19:00:00Z","title_canon_sha256":"fb32ba8620f70057947dfa63c7d64209240f74e352ead129cd83efa6c55f77d9"},"schema_version":"1.0","source":{"id":"2112.00012","kind":"arxiv","version":2}},"canonical_sha256":"b6760693622b00e0d5a917d7920f7b23aebaf9068ded9fa8a8bc094e664e3970","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6760693622b00e0d5a917d7920f7b23aebaf9068ded9fa8a8bc094e664e3970","first_computed_at":"2026-07-05T04:29:27.661927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:29:27.661927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DLRRYJqEGnszhdVgZ+oUrUWI5pPUfTnAC3kTeZdN9abkDI+aYsKsJWb8yhpUJwhmjPRv7YY5mBosEV0J5KBgCw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:29:27.662433Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.00012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b83e29834466d3789074896de35c61f7808c389d5731954853e0b57e505410c5","sha256:16ee67eb390baba96ed33d4cf82afd68de512dcd36189aac3c6686b345a2a596"],"state_sha256":"6d0fd4a19ee53212a3b872dce6a572ffc47a075e47ff6d9cd5c09848ef755c57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6C2K7hqmxZHkeNObNXkYKi0Cg8MseXkpL+TBoSP2rzB7xeVoNgpNBdSqV+9zfD5oz4CPVMXx1vshWYjTLcRSCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T18:43:33.405887Z","bundle_sha256":"512132445a29452fa69acbf7b1e899d72ee4d8493590583f89fa4ee400e859c9"}}