Pith Number

pith:BKVSDAVM

pith:2016:BKVSDAVMM5JDHJRXU2C7PYWLRT

not attested not anchored not stored refs pending

Quasi-polynomial mixing of critical 2D random cluster models

Eyal Lubetzky, Reza Gheissari

arxiv:1611.01147 v3 · 2016-11-03 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKVSDAVMM5JDHJRXU2C7PYWLRT}

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	2026-05-17T23:49:53.333748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aab2182ac675233a637a685f7e2cb8cd35f1d546d64c51b58918b4c28770844

Aliases

arxiv: 1611.01147 · arxiv_version: 1611.01147v3 · doi: 10.48550/arxiv.1611.01147 · pith_short_12: BKVSDAVMM5JD · pith_short_16: BKVSDAVMM5JDHJRX · pith_short_8: BKVSDAVM

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/BKVSDAVMM5JDHJRXU2C7PYWLRT \
  | 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: 0aab2182ac675233a637a685f7e2cb8cd35f1d546d64c51b58918b4c28770844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "110a8ac0b896c02afa91227972f1268f2becb225c53346f3c5045124ba0b54fd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-03T19:51:51Z",
    "title_canon_sha256": "5f3313aafa93aea9a6df10af1d17e916412b01e3caeb113a8195744cc1c3a068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01147",
    "kind": "arxiv",
    "version": 3
  }
}