Pith Number

pith:GFELBO2H

pith:2010:GFELBO2HHJYXRAV7PFMYNUXLA2

not attested not anchored not stored refs pending

Tight Bounds for Mixing of the Swendsen-Wang Algorithm at the Potts Transition Point

Christian Borgs, Jennifer T. Chayes, Prasad Tetali

arxiv:1011.3058 v1 · 2010-11-12 · math.PR · cs.DM · 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{GFELBO2HHJYXRAV7PFMYNUXLA2}

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	2026-05-18T04:35:56.572924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3148b0bb473a717882bf795986d2eb06b0cfae88ffb466db63927da8c4a6e475

Aliases

arxiv: 1011.3058 · arxiv_version: 1011.3058v1 · doi: 10.48550/arxiv.1011.3058 · pith_short_12: GFELBO2HHJYX · pith_short_16: GFELBO2HHJYXRAV7 · pith_short_8: GFELBO2H

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/GFELBO2HHJYXRAV7PFMYNUXLA2 \
  | 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: 3148b0bb473a717882bf795986d2eb06b0cfae88ffb466db63927da8c4a6e475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7daec21a18c6ea7e47e39f8330876f6a5c80c1253e6bea12734072219651761b",
    "cross_cats_sorted": [
      "cs.DM",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-12T21:50:06Z",
    "title_canon_sha256": "6b7b856784c6c82078f60949fe915863b5612b4f906014d79bc1ccacdd09c245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3058",
    "kind": "arxiv",
    "version": 1
  }
}