{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:D3MBLTILTJRR35FW7CHIO6YJMN","short_pith_number":"pith:D3MBLTIL","canonical_record":{"source":{"id":"2402.01866","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-02-02T19:44:22Z","cross_cats_sorted":[],"title_canon_sha256":"9670737fa1d6e555737394f1a513a66b29382bdbec4b77d2642beb770d243f95","abstract_canon_sha256":"c216ad0feca77d2518034d162d235dc4cf3d14d8358427340ee50d19cd96d3ef"},"schema_version":"1.0"},"canonical_sha256":"1ed815cd0b9a631df4b6f88e877b09637b5a9f088ee8466891eb4eaa4e677396","source":{"kind":"arxiv","id":"2402.01866","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.01866","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"arxiv_version","alias_value":"2402.01866v3","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.01866","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"pith_short_12","alias_value":"D3MBLTILTJRR","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"pith_short_16","alias_value":"D3MBLTILTJRR35FW","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"pith_short_8","alias_value":"D3MBLTIL","created_at":"2026-05-29T01:04:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:D3MBLTILTJRR35FW7CHIO6YJMN","target":"record","payload":{"canonical_record":{"source":{"id":"2402.01866","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-02-02T19:44:22Z","cross_cats_sorted":[],"title_canon_sha256":"9670737fa1d6e555737394f1a513a66b29382bdbec4b77d2642beb770d243f95","abstract_canon_sha256":"c216ad0feca77d2518034d162d235dc4cf3d14d8358427340ee50d19cd96d3ef"},"schema_version":"1.0"},"canonical_sha256":"1ed815cd0b9a631df4b6f88e877b09637b5a9f088ee8466891eb4eaa4e677396","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:04:50.432780Z","signature_b64":"CAmirY8a1jiCSmE20RtW4Pcy3mRN8A4MaMi8QVgN01QtZA5CI7yyv73/2wpFSkAEgTpBETefnlsIBV1OVxXaBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ed815cd0b9a631df4b6f88e877b09637b5a9f088ee8466891eb4eaa4e677396","last_reissued_at":"2026-05-29T01:04:50.432065Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:04:50.432065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.01866","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-29T01:04:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GnIK4ZdkP9N23XroM3RNpWzPBz7BMtLueOP2IB4i6xnN1fZUDd7oN5vF6Pkqp4UzrSxpkN3kD1MvTZCkNZiTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T03:26:33.175167Z"},"content_sha256":"ad66db6889e47d4e2a7dd1545e4141f32824044612efa5e2afe9fc17d61881ad","schema_version":"1.0","event_id":"sha256:ad66db6889e47d4e2a7dd1545e4141f32824044612efa5e2afe9fc17d61881ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:D3MBLTILTJRR35FW7CHIO6YJMN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parametric Bootstrap for Fixed Edge-Probability Network Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Can M. Le, Zhixuan Shao","submitted_at":"2024-02-02T19:44:22Z","abstract_excerpt":"This paper studies parametric bootstrap methods for network data, with the goal of quantifying the uncertainty of network statistics of interest. While existing network resampling methods primarily focus on count statistics under node-exchangeable graphon models, we consider more general network statistics, including local statistics, under the Chung-Lu model without assuming node exchangeability. We show that the natural network parametric bootstrap, which first estimates the network-generating model and then draws bootstrap samples from the estimated model, generally suffers from bootstrap b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.01866","kind":"arxiv","version":3},"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/2402.01866/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":"2026-05-29T01:04:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MlEhR3lxfqu3UItbLK1RpSf3zarIAGyM/966XpFnypJj2/ruHcEe25ToKrT33O1TexYe1NQCJEvK0di5Sb9AAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T03:26:33.175548Z"},"content_sha256":"dde2c0b7e35c44f90591ef6d1bcad07ea4b60f872647daa150490ffe9b605b59","schema_version":"1.0","event_id":"sha256:dde2c0b7e35c44f90591ef6d1bcad07ea4b60f872647daa150490ffe9b605b59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D3MBLTILTJRR35FW7CHIO6YJMN/bundle.json","state_url":"https://pith.science/pith/D3MBLTILTJRR35FW7CHIO6YJMN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D3MBLTILTJRR35FW7CHIO6YJMN/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":"2026-07-17T03:26:33Z","links":{"resolver":"https://pith.science/pith/D3MBLTILTJRR35FW7CHIO6YJMN","bundle":"https://pith.science/pith/D3MBLTILTJRR35FW7CHIO6YJMN/bundle.json","state":"https://pith.science/pith/D3MBLTILTJRR35FW7CHIO6YJMN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D3MBLTILTJRR35FW7CHIO6YJMN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:D3MBLTILTJRR35FW7CHIO6YJMN","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":"c216ad0feca77d2518034d162d235dc4cf3d14d8358427340ee50d19cd96d3ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-02-02T19:44:22Z","title_canon_sha256":"9670737fa1d6e555737394f1a513a66b29382bdbec4b77d2642beb770d243f95"},"schema_version":"1.0","source":{"id":"2402.01866","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.01866","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"arxiv_version","alias_value":"2402.01866v3","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.01866","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"pith_short_12","alias_value":"D3MBLTILTJRR","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"pith_short_16","alias_value":"D3MBLTILTJRR35FW","created_at":"2026-05-29T01:04:50Z"},{"alias_kind":"pith_short_8","alias_value":"D3MBLTIL","created_at":"2026-05-29T01:04:50Z"}],"graph_snapshots":[{"event_id":"sha256:dde2c0b7e35c44f90591ef6d1bcad07ea4b60f872647daa150490ffe9b605b59","target":"graph","created_at":"2026-05-29T01:04:50Z","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/2402.01866/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper studies parametric bootstrap methods for network data, with the goal of quantifying the uncertainty of network statistics of interest. While existing network resampling methods primarily focus on count statistics under node-exchangeable graphon models, we consider more general network statistics, including local statistics, under the Chung-Lu model without assuming node exchangeability. We show that the natural network parametric bootstrap, which first estimates the network-generating model and then draws bootstrap samples from the estimated model, generally suffers from bootstrap b","authors_text":"Can M. Le, Zhixuan Shao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-02-02T19:44:22Z","title":"Parametric Bootstrap for Fixed Edge-Probability Network Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.01866","kind":"arxiv","version":3},"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:ad66db6889e47d4e2a7dd1545e4141f32824044612efa5e2afe9fc17d61881ad","target":"record","created_at":"2026-05-29T01:04:50Z","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":"c216ad0feca77d2518034d162d235dc4cf3d14d8358427340ee50d19cd96d3ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-02-02T19:44:22Z","title_canon_sha256":"9670737fa1d6e555737394f1a513a66b29382bdbec4b77d2642beb770d243f95"},"schema_version":"1.0","source":{"id":"2402.01866","kind":"arxiv","version":3}},"canonical_sha256":"1ed815cd0b9a631df4b6f88e877b09637b5a9f088ee8466891eb4eaa4e677396","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ed815cd0b9a631df4b6f88e877b09637b5a9f088ee8466891eb4eaa4e677396","first_computed_at":"2026-05-29T01:04:50.432065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T01:04:50.432065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CAmirY8a1jiCSmE20RtW4Pcy3mRN8A4MaMi8QVgN01QtZA5CI7yyv73/2wpFSkAEgTpBETefnlsIBV1OVxXaBg==","signature_status":"signed_v1","signed_at":"2026-05-29T01:04:50.432780Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.01866","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad66db6889e47d4e2a7dd1545e4141f32824044612efa5e2afe9fc17d61881ad","sha256:dde2c0b7e35c44f90591ef6d1bcad07ea4b60f872647daa150490ffe9b605b59"],"state_sha256":"fcb44bfcb26a3a25109215b83f5d0529a7cd015f88bf31e2ba050b66eb6ecb0d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bPsG6gr12c3VAaKxvpp1ebwp6z4DAAYA3+Qz2M8XqQV++d9EeajlREb9Vfh2TAdGWwjO37FsZ1FFWEsY3tyyBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T03:26:33.178152Z","bundle_sha256":"8acdf01e2c8ab3b52d2b1a1e50821e4766748b59ab816a63e88e3f640c214e15"}}