{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ZZDDMY7V4N4Q7NQ3FQKLE7TXW5","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":"100cbd48c0c900ccfce3626b0b7d65f02b5e1665e1de542db86af97341b27d8b","cross_cats_sorted":["cs.CY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2021-03-03T21:39:51Z","title_canon_sha256":"78dc8aca340796caa09b4846854eeb8a74d08faa282adc947336ad3a2ea03270"},"schema_version":"1.0","source":{"id":"2103.02699","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.02699","created_at":"2026-07-05T02:40:50Z"},{"alias_kind":"arxiv_version","alias_value":"2103.02699v2","created_at":"2026-07-05T02:40:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.02699","created_at":"2026-07-05T02:40:50Z"},{"alias_kind":"pith_short_12","alias_value":"ZZDDMY7V4N4Q","created_at":"2026-07-05T02:40:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZZDDMY7V4N4Q7NQ3","created_at":"2026-07-05T02:40:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZZDDMY7V","created_at":"2026-07-05T02:40:50Z"}],"graph_snapshots":[{"event_id":"sha256:4b0e23221d5fe69c14429ab1ffb92c72007685aa474a96a2b8270eecd3cdf944","target":"graph","created_at":"2026-07-05T02:40:50Z","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/2103.02699/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Ensemble analysis has become an important tool for quantifying gerrymandering; the main idea is to generate a large, random sample of districting plans (an \"ensemble\") to which any proposed plan may be compared. If a proposed plan is an extreme outlier compared to the ensemble with regard to various redistricting criteria, this may indicate that the plan was deliberately engineered to produce a specific outcome.\n  Many methods have been used to construct ensembles, and a fundamental question that arises is: Given a method for constructing plans, can we identify a probability distribution on th","authors_text":"Adam Nelson, Jade VanAusdall, Jeanne N. Clelland, Nicholas Bossenbroek, Peter Rock, Thomas Heckmaster","cross_cats":["cs.CY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2021-03-03T21:39:51Z","title":"Compactness statistics for spanning tree recombination"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.02699","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":"sha256:6d9fa72d2b608a398a88d18bb86a7afcd51af605363c24d4fcb77be433fdb0f8","target":"record","created_at":"2026-07-05T02:40:50Z","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":"100cbd48c0c900ccfce3626b0b7d65f02b5e1665e1de542db86af97341b27d8b","cross_cats_sorted":["cs.CY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2021-03-03T21:39:51Z","title_canon_sha256":"78dc8aca340796caa09b4846854eeb8a74d08faa282adc947336ad3a2ea03270"},"schema_version":"1.0","source":{"id":"2103.02699","kind":"arxiv","version":2}},"canonical_sha256":"ce463663f5e3790fb61b2c14b27e77b77f064aea6c16a064a53adc33d14faf55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce463663f5e3790fb61b2c14b27e77b77f064aea6c16a064a53adc33d14faf55","first_computed_at":"2026-07-05T02:40:50.723467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:40:50.723467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NZizZkljDV0Mp0VdtuCSHMvTDPlR55Ts6SGhEbtTiHKUYfeD2oaah/oy8QhTacQ8s6738Hyte+TpCJZ/WSw8CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:40:50.724009Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.02699","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d9fa72d2b608a398a88d18bb86a7afcd51af605363c24d4fcb77be433fdb0f8","sha256:4b0e23221d5fe69c14429ab1ffb92c72007685aa474a96a2b8270eecd3cdf944"],"state_sha256":"a12eb4cf69d0ce8410ff4e0c948280efee6708bc365dbd7ec998ae462b5748d6"}