{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UPETZPKEACR2G3PGTG4FQQ5ZH4","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":"cacc1c5717835ef57f424bb9720ff18556022f195df74a5ea0b1d526a7dd0737","cross_cats_sorted":["math.PR","math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-17T16:26:18Z","title_canon_sha256":"b9f17b3bd18da9b9b0f7ae0d03ad180e328c0aa138ea5cc8fe0fc69eefce61c4"},"schema_version":"1.0","source":{"id":"2607.09689","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09689","created_at":"2026-07-14T00:18:30Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09689v1","created_at":"2026-07-14T00:18:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09689","created_at":"2026-07-14T00:18:30Z"},{"alias_kind":"pith_short_12","alias_value":"UPETZPKEACR2","created_at":"2026-07-14T00:18:30Z"},{"alias_kind":"pith_short_16","alias_value":"UPETZPKEACR2G3PG","created_at":"2026-07-14T00:18:30Z"},{"alias_kind":"pith_short_8","alias_value":"UPETZPKE","created_at":"2026-07-14T00:18:30Z"}],"graph_snapshots":[{"event_id":"sha256:80357930b36cbbd3c8ca8354ad3cf1ec71373720f01d108ca92dae4c283c437d","target":"graph","created_at":"2026-07-14T00:18:30Z","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/2607.09689/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To leading order under local asymptotic normality (LAN), the confidence density a worker emits over a chunk of size $n$ is a Gibbs--Boltzmann measure $\\exp\\{-\\beta E(\\theta)\\}$ whose inverse temperature is the sample size, $\\beta=n$. Three consequences are exact in the Gaussian/linear case and first-order otherwise: disjoint chunks carry independent Boltzmann factors, so the MapReduce \\emph{reduce}, read literally, is a partition function $Z=\\int\\prod_k h_k\\,d\\theta$ whose mode is precision-weighted (inverse-variance) pooling; frequentist consistency is the zero-temperature limit $T=1/n\\to0$","authors_text":"Yossi Eliaz","cross_cats":["math.PR","math.ST","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-17T16:26:18Z","title":"Boltzmann MapReduce: A Partition-Function Reduce for Forkable Sandboxes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09689","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":"sha256:57c1a24c9afd1bd84bb7ca7900f010cfafe5b439c2980d142add9cf89f743b3b","target":"record","created_at":"2026-07-14T00:18:30Z","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":"cacc1c5717835ef57f424bb9720ff18556022f195df74a5ea0b1d526a7dd0737","cross_cats_sorted":["math.PR","math.ST","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-17T16:26:18Z","title_canon_sha256":"b9f17b3bd18da9b9b0f7ae0d03ad180e328c0aa138ea5cc8fe0fc69eefce61c4"},"schema_version":"1.0","source":{"id":"2607.09689","kind":"arxiv","version":1}},"canonical_sha256":"a3c93cbd4400a3a36de699b85843b93f3254451b5434dc1f7b96c00852226f4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3c93cbd4400a3a36de699b85843b93f3254451b5434dc1f7b96c00852226f4e","first_computed_at":"2026-07-14T00:18:30.532697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T00:18:30.532697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vTLO2xXobaa8N3o5vqiGOpu0g4B+Z6A4p3t/SaVgcTPB4bk5bIM/zYRK7KFacjrYc+rf1BickFMY4UcAPQWTBQ==","signature_status":"signed_v1","signed_at":"2026-07-14T00:18:30.533578Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.09689","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57c1a24c9afd1bd84bb7ca7900f010cfafe5b439c2980d142add9cf89f743b3b","sha256:80357930b36cbbd3c8ca8354ad3cf1ec71373720f01d108ca92dae4c283c437d"],"state_sha256":"5361259c08c1a7c6747e059e6d3347cd850063659d98daed6db05b9c367515a0"}