Pith Number

pith:QHEYRJLU

pith:2019:QHEYRJLUXAVW2DFCGZDGRLFTM5

not attested not anchored not stored refs pending

Efficient sampling and counting algorithms for the Potts model on $\mathbb Z^d$ at all temperatures

Christian Borgs, Jennifer Chayes, Prasad Tetali, Tyler Helmuth, Will Perkins

arxiv:1909.09298 v3 · 2019-09-20 · math.PR · cs.DS

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\usepackage{pith}
\pithnumber{QHEYRJLUXAVW2DFCGZDGRLFTM5}

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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.

Cited by

1 paper in Pith

Fast mixing of all-to-all quantum systems at high temperatures

Receipt and verification

First computed	2026-07-05T04:46:29.156755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c988a574b82b6d0ca2364668acb3677b74b9f7fba03356f124e266928360da

Aliases

arxiv: 1909.09298 · arxiv_version: 1909.09298v3 · doi: 10.48550/arxiv.1909.09298 · pith_short_12: QHEYRJLUXAVW · pith_short_16: QHEYRJLUXAVW2DFC · pith_short_8: QHEYRJLU

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/QHEYRJLUXAVW2DFCGZDGRLFTM5 \
  | 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: 81c988a574b82b6d0ca2364668acb3677b74b9f7fba03356f124e266928360da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b571466efa425d981d35cd924828891f3224b6d9754da668d0b6509d2b768c23",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-09-20T02:42:47Z",
    "title_canon_sha256": "99f19808adc921aa57f2c0879ad704c0775f762aa30f3593e30a876046dc2c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.09298",
    "kind": "arxiv",
    "version": 3
  }
}