{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:AMCODJKQGXFMRZOICCFXLCI24P","short_pith_number":"pith:AMCODJKQ","canonical_record":{"source":{"id":"2506.22737","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-28T02:45:02Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"58f00815b5f28d9ea7b9f4fac5c80814624df6cc2ec492440ddbaaedf4d3cc7d","abstract_canon_sha256":"3e34d98aacfb4b670a5f31a0e78589212fbdfdd1a1173ed84a511c1d3ecf1316"},"schema_version":"1.0"},"canonical_sha256":"0304e1a55035cac8e5c8108b75891ae3d4449d3b1efb1da7693526d2a6754457","source":{"kind":"arxiv","id":"2506.22737","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.22737","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"arxiv_version","alias_value":"2506.22737v1","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.22737","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"pith_short_12","alias_value":"AMCODJKQGXFM","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"pith_short_16","alias_value":"AMCODJKQGXFMRZOI","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"pith_short_8","alias_value":"AMCODJKQ","created_at":"2026-07-05T11:28:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:AMCODJKQGXFMRZOICCFXLCI24P","target":"record","payload":{"canonical_record":{"source":{"id":"2506.22737","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-28T02:45:02Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"58f00815b5f28d9ea7b9f4fac5c80814624df6cc2ec492440ddbaaedf4d3cc7d","abstract_canon_sha256":"3e34d98aacfb4b670a5f31a0e78589212fbdfdd1a1173ed84a511c1d3ecf1316"},"schema_version":"1.0"},"canonical_sha256":"0304e1a55035cac8e5c8108b75891ae3d4449d3b1efb1da7693526d2a6754457","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:28:44.429557Z","signature_b64":"QDJ/c9Q0VAWs3U7m9sseAKf10wqfJ//fTtF4h3Imp07dEt06RPbySfB/3JJ3rfwyUcTfgripyUt5CcOHOwXXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0304e1a55035cac8e5c8108b75891ae3d4449d3b1efb1da7693526d2a6754457","last_reissued_at":"2026-07-05T11:28:44.429139Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:28:44.429139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.22737","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":"2026-07-05T11:28:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E0chY3RSfZI7rpZylnl/83zvVnkfJFp72Kwf/EZNkpFFXY92TB9kEFYDvoRBCNXmmvNMjwLR+vEgFtLZnhaaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T16:38:34.878820Z"},"content_sha256":"e8021f5951357dd1d9b797cfef93f7d2645e116ac4880573c2053d8651f55c6c","schema_version":"1.0","event_id":"sha256:e8021f5951357dd1d9b797cfef93f7d2645e116ac4880573c2053d8651f55c6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:AMCODJKQGXFMRZOICCFXLCI24P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring the signature of assembly bias and modified gravity using small-scale clusterings of galaxies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"Jeremy L. Tinker, Xiaohu Yang, Yirong Wang, Zhongxu Zhai","submitted_at":"2025-06-28T02:45:02Z","abstract_excerpt":"We apply a halo velocity bias model, $\\gamma_{f}$, within the Aemulus simulation suite for General Relativity (GR) to investigate its efficacy in identifying the signature of assembly bias and Modified Gravity (MG). In the investigation of assembly bias, utilizing galaxy clustering data ranging from scales of $0.1 - 60 \\text{Mpc}\\,h^{-1}$, we discover that our emulator model accurately recreates the cosmological parameters, $\\Omega_m$ and $\\sigma_8$, along with the velocity bias $\\gamma_{f}$, staying well within the 1-$\\sigma$ error margins, provided that assembly bias is considered. Ignoring "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.22737","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/2506.22737/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":"2026-07-05T11:28:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ik+a0gOtS5iQXbrn6a9ElINW81Mp87dfobFEYpSl1NBfYsC9cCBboznynySrWgsyQXcDX8lId9wTkmCrHuoDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T16:38:34.879591Z"},"content_sha256":"642364866a93b181e5e9d9231efff8e1c98cf6bc9b25a016e4f3f8c2820bec54","schema_version":"1.0","event_id":"sha256:642364866a93b181e5e9d9231efff8e1c98cf6bc9b25a016e4f3f8c2820bec54"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AMCODJKQGXFMRZOICCFXLCI24P/bundle.json","state_url":"https://pith.science/pith/AMCODJKQGXFMRZOICCFXLCI24P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AMCODJKQGXFMRZOICCFXLCI24P/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":"2026-08-09T16:38:34Z","links":{"resolver":"https://pith.science/pith/AMCODJKQGXFMRZOICCFXLCI24P","bundle":"https://pith.science/pith/AMCODJKQGXFMRZOICCFXLCI24P/bundle.json","state":"https://pith.science/pith/AMCODJKQGXFMRZOICCFXLCI24P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AMCODJKQGXFMRZOICCFXLCI24P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AMCODJKQGXFMRZOICCFXLCI24P","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":"3e34d98aacfb4b670a5f31a0e78589212fbdfdd1a1173ed84a511c1d3ecf1316","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-28T02:45:02Z","title_canon_sha256":"58f00815b5f28d9ea7b9f4fac5c80814624df6cc2ec492440ddbaaedf4d3cc7d"},"schema_version":"1.0","source":{"id":"2506.22737","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.22737","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"arxiv_version","alias_value":"2506.22737v1","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.22737","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"pith_short_12","alias_value":"AMCODJKQGXFM","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"pith_short_16","alias_value":"AMCODJKQGXFMRZOI","created_at":"2026-07-05T11:28:44Z"},{"alias_kind":"pith_short_8","alias_value":"AMCODJKQ","created_at":"2026-07-05T11:28:44Z"}],"graph_snapshots":[{"event_id":"sha256:642364866a93b181e5e9d9231efff8e1c98cf6bc9b25a016e4f3f8c2820bec54","target":"graph","created_at":"2026-07-05T11:28:44Z","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/2506.22737/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We apply a halo velocity bias model, $\\gamma_{f}$, within the Aemulus simulation suite for General Relativity (GR) to investigate its efficacy in identifying the signature of assembly bias and Modified Gravity (MG). In the investigation of assembly bias, utilizing galaxy clustering data ranging from scales of $0.1 - 60 \\text{Mpc}\\,h^{-1}$, we discover that our emulator model accurately recreates the cosmological parameters, $\\Omega_m$ and $\\sigma_8$, along with the velocity bias $\\gamma_{f}$, staying well within the 1-$\\sigma$ error margins, provided that assembly bias is considered. Ignoring ","authors_text":"Jeremy L. Tinker, Xiaohu Yang, Yirong Wang, Zhongxu Zhai","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-28T02:45:02Z","title":"Exploring the signature of assembly bias and modified gravity using small-scale clusterings of galaxies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.22737","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:e8021f5951357dd1d9b797cfef93f7d2645e116ac4880573c2053d8651f55c6c","target":"record","created_at":"2026-07-05T11:28:44Z","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":"3e34d98aacfb4b670a5f31a0e78589212fbdfdd1a1173ed84a511c1d3ecf1316","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-28T02:45:02Z","title_canon_sha256":"58f00815b5f28d9ea7b9f4fac5c80814624df6cc2ec492440ddbaaedf4d3cc7d"},"schema_version":"1.0","source":{"id":"2506.22737","kind":"arxiv","version":1}},"canonical_sha256":"0304e1a55035cac8e5c8108b75891ae3d4449d3b1efb1da7693526d2a6754457","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0304e1a55035cac8e5c8108b75891ae3d4449d3b1efb1da7693526d2a6754457","first_computed_at":"2026-07-05T11:28:44.429139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:28:44.429139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QDJ/c9Q0VAWs3U7m9sseAKf10wqfJ//fTtF4h3Imp07dEt06RPbySfB/3JJ3rfwyUcTfgripyUt5CcOHOwXXAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:28:44.429557Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.22737","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8021f5951357dd1d9b797cfef93f7d2645e116ac4880573c2053d8651f55c6c","sha256:642364866a93b181e5e9d9231efff8e1c98cf6bc9b25a016e4f3f8c2820bec54"],"state_sha256":"6098006794f7a29c8d8122d2873babb29444772d53444041f1497353a253e595"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bYJTk/5Lbdg8bBLKxZhCTYq7kbaD+pqFF/3fJnk0P19MCxGOkwsSPupuEu2jiVhQuEVck0E16EKBrewNtpuMBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T16:38:34.895392Z","bundle_sha256":"15c709a6fd8f7d24656f75668a74bf2cd4cc62fbac1abeb609a2b8bf09ce6564"}}