Pith Number

pith:UPETZPKE

pith:2026:UPETZPKEACR2G3PGTG4FQQ5ZH4

not attested not anchored not stored refs pending

Boltzmann MapReduce: A Partition-Function Reduce for Forkable Sandboxes

Yossi Eliaz

arxiv:2607.09689 v1 · 2026-06-17 · cs.AI · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPETZPKEACR2G3PGTG4FQQ5ZH4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-14T00:18:30.532697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c93cbd4400a3a36de699b85843b93f3254451b5434dc1f7b96c00852226f4e

Aliases

arxiv: 2607.09689 · arxiv_version: 2607.09689v1 · doi: 10.48550/arxiv.2607.09689 · pith_short_12: UPETZPKEACR2 · pith_short_16: UPETZPKEACR2G3PG · pith_short_8: UPETZPKE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UPETZPKEACR2G3PGTG4FQQ5ZH4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a3c93cbd4400a3a36de699b85843b93f3254451b5434dc1f7b96c00852226f4e

Canonical record JSON

{
  "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
  }
}