{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:LU5HSWBMH572LBS2SBAXUB4HMI","short_pith_number":"pith:LU5HSWBM","canonical_record":{"source":{"id":"2309.01039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2023-09-02T23:46:20Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"93663dd7b059b9698912da76519a73e72a9174e088f07be8c96e091e78e7aeb9","abstract_canon_sha256":"229582e452223a859ec2d8c2358ff9e60662c80d15049c7c23c9e88a86fc3d57"},"schema_version":"1.0"},"canonical_sha256":"5d3a79582c3f7fa5865a90417a078762086b417e7ce928781e35357d29e47c96","source":{"kind":"arxiv","id":"2309.01039","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.01039","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"arxiv_version","alias_value":"2309.01039v2","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.01039","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"pith_short_12","alias_value":"LU5HSWBMH572","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"pith_short_16","alias_value":"LU5HSWBMH572LBS2","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"pith_short_8","alias_value":"LU5HSWBM","created_at":"2026-07-05T07:33:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:LU5HSWBMH572LBS2SBAXUB4HMI","target":"record","payload":{"canonical_record":{"source":{"id":"2309.01039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2023-09-02T23:46:20Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"93663dd7b059b9698912da76519a73e72a9174e088f07be8c96e091e78e7aeb9","abstract_canon_sha256":"229582e452223a859ec2d8c2358ff9e60662c80d15049c7c23c9e88a86fc3d57"},"schema_version":"1.0"},"canonical_sha256":"5d3a79582c3f7fa5865a90417a078762086b417e7ce928781e35357d29e47c96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:33:19.381063Z","signature_b64":"BBJJNrEQrvQyL646PaHU9N+KR7t7ag6j3bRC4e6a4g1OYAGG/QvqVxN/nJ48dRX59jeW8fi99kjHOj7ZWaPnDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d3a79582c3f7fa5865a90417a078762086b417e7ce928781e35357d29e47c96","last_reissued_at":"2026-07-05T07:33:19.380658Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:33:19.380658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.01039","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":"2026-07-05T07:33:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"baQ9rlV36mlbmkR7sDKrI6vCfKnkd+Xo7WDKK7TgcMqazzz5uPDSj9g68mbl0CadinmxTEEZI9RTtqUQX86dDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T12:44:24.111887Z"},"content_sha256":"d7e488f0a51befe18bff6d31d075e976c84254832d6dbcba3332ac3e42d34dfa","schema_version":"1.0","event_id":"sha256:d7e488f0a51befe18bff6d31d075e976c84254832d6dbcba3332ac3e42d34dfa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:LU5HSWBMH572LBS2SBAXUB4HMI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterizing the assembly of dark matter halos with protohalo size histories: I. Redshift evolution, relation to descendant halos, and halo assembly bias","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"H.J. Mo, Huiyuan Wang, Jiaqi Wang, Kai Wang, Xiaohu Yang, Yangyao Chen, Yingjie Peng, Zheng Cai","submitted_at":"2023-09-02T23:46:20Z","abstract_excerpt":"We propose a novel method to quantify the assembly histories of dark matter halos with the redshift evolution of the mass-weighted spatial variance of their progenitor halos, i.e. the protohalo size history. We find that the protohalo size history for each individual halo at z~0 can be described by a double power-law function. The amplitude of the fitting function strongly correlates to the central-to-total stellar mass ratios of descendant halos. The variation of the amplitude of the protohalo size history can induce a strong halo assembly bias effect for massive halos. This effect is detecta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.01039","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/2309.01039/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":"2026-07-05T07:33:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YTXnsF1CIRCaFXfIZZHjf0FqmYbeQLi+eEcC9rOQyWaAp6+YEo2GIgvJyUdVyP7LBfuzsLO9LQM4vLa6o5RgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T12:44:24.112865Z"},"content_sha256":"47c8f9fd4afb9946e8d7f7fd8f306f3164e6ea4d5bf79dbbb1c18cd8d33a33cd","schema_version":"1.0","event_id":"sha256:47c8f9fd4afb9946e8d7f7fd8f306f3164e6ea4d5bf79dbbb1c18cd8d33a33cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LU5HSWBMH572LBS2SBAXUB4HMI/bundle.json","state_url":"https://pith.science/pith/LU5HSWBMH572LBS2SBAXUB4HMI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LU5HSWBMH572LBS2SBAXUB4HMI/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":"2026-08-06T12:44:24Z","links":{"resolver":"https://pith.science/pith/LU5HSWBMH572LBS2SBAXUB4HMI","bundle":"https://pith.science/pith/LU5HSWBMH572LBS2SBAXUB4HMI/bundle.json","state":"https://pith.science/pith/LU5HSWBMH572LBS2SBAXUB4HMI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LU5HSWBMH572LBS2SBAXUB4HMI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:LU5HSWBMH572LBS2SBAXUB4HMI","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":"229582e452223a859ec2d8c2358ff9e60662c80d15049c7c23c9e88a86fc3d57","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2023-09-02T23:46:20Z","title_canon_sha256":"93663dd7b059b9698912da76519a73e72a9174e088f07be8c96e091e78e7aeb9"},"schema_version":"1.0","source":{"id":"2309.01039","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.01039","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"arxiv_version","alias_value":"2309.01039v2","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.01039","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"pith_short_12","alias_value":"LU5HSWBMH572","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"pith_short_16","alias_value":"LU5HSWBMH572LBS2","created_at":"2026-07-05T07:33:19Z"},{"alias_kind":"pith_short_8","alias_value":"LU5HSWBM","created_at":"2026-07-05T07:33:19Z"}],"graph_snapshots":[{"event_id":"sha256:47c8f9fd4afb9946e8d7f7fd8f306f3164e6ea4d5bf79dbbb1c18cd8d33a33cd","target":"graph","created_at":"2026-07-05T07:33:19Z","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/2309.01039/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a novel method to quantify the assembly histories of dark matter halos with the redshift evolution of the mass-weighted spatial variance of their progenitor halos, i.e. the protohalo size history. We find that the protohalo size history for each individual halo at z~0 can be described by a double power-law function. The amplitude of the fitting function strongly correlates to the central-to-total stellar mass ratios of descendant halos. The variation of the amplitude of the protohalo size history can induce a strong halo assembly bias effect for massive halos. This effect is detecta","authors_text":"H.J. Mo, Huiyuan Wang, Jiaqi Wang, Kai Wang, Xiaohu Yang, Yangyao Chen, Yingjie Peng, Zheng Cai","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2023-09-02T23:46:20Z","title":"Characterizing the assembly of dark matter halos with protohalo size histories: I. Redshift evolution, relation to descendant halos, and halo assembly bias"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.01039","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:d7e488f0a51befe18bff6d31d075e976c84254832d6dbcba3332ac3e42d34dfa","target":"record","created_at":"2026-07-05T07:33:19Z","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":"229582e452223a859ec2d8c2358ff9e60662c80d15049c7c23c9e88a86fc3d57","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2023-09-02T23:46:20Z","title_canon_sha256":"93663dd7b059b9698912da76519a73e72a9174e088f07be8c96e091e78e7aeb9"},"schema_version":"1.0","source":{"id":"2309.01039","kind":"arxiv","version":2}},"canonical_sha256":"5d3a79582c3f7fa5865a90417a078762086b417e7ce928781e35357d29e47c96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d3a79582c3f7fa5865a90417a078762086b417e7ce928781e35357d29e47c96","first_computed_at":"2026-07-05T07:33:19.380658Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:33:19.380658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BBJJNrEQrvQyL646PaHU9N+KR7t7ag6j3bRC4e6a4g1OYAGG/QvqVxN/nJ48dRX59jeW8fi99kjHOj7ZWaPnDg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:33:19.381063Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.01039","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7e488f0a51befe18bff6d31d075e976c84254832d6dbcba3332ac3e42d34dfa","sha256:47c8f9fd4afb9946e8d7f7fd8f306f3164e6ea4d5bf79dbbb1c18cd8d33a33cd"],"state_sha256":"55b911136c5b88c3ac6883357e80c48d4d8ea320fa5b35c41bac91fc317c3bca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xxesjwm8UCc1GYiy7quQmqB0xiQ3IZZ0AvTOU+H4+X4DcJqZwwOBgEGC/ONT+i+To7AF3ZNItLoD09eRIqo2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T12:44:24.123130Z","bundle_sha256":"d2f845a080ea9cc40dd5bfa795554de8c65ddaad5b7fa54f8b46194edaa37f6a"}}