Pith Number

pith:TSQ4CFJY

pith:2010:TSQ4CFJYGKDJQNPWAKT4MDVSNG

not attested not anchored not stored refs pending

The connective constant of the honeycomb lattice equals $\sqrt{2+\sqrt2}$

Hugo Duminil-Copin, Stanislav Smirnov

arxiv:1007.0575 v2 · 2010-07-04 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSQ4CFJYGKDJQNPWAKT4MDVSNG}

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.

Cited by

1 paper in Pith

Correction-to-scaling exponent for percolation and the Fortuin--Kasteleyn Potts model in two dimensions

Receipt and verification

First computed	2026-05-18T04:19:22.215392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca1c1153832869835f602a7c60eb269891e5e02d227d75fd51d0701cc58473b

Aliases

arxiv: 1007.0575 · arxiv_version: 1007.0575v2 · doi: 10.48550/arxiv.1007.0575 · pith_short_12: TSQ4CFJYGKDJ · pith_short_16: TSQ4CFJYGKDJQNPW · pith_short_8: TSQ4CFJY

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/TSQ4CFJYGKDJQNPWAKT4MDVSNG \
  | 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: 9ca1c1153832869835f602a7c60eb269891e5e02d227d75fd51d0701cc58473b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a37c5b1d7cbdfa077e1b8e452a69d07947b143e15e7c72cff0a980986f702f72",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-04T17:59:27Z",
    "title_canon_sha256": "5f61245c06d01471f8936e742e801c34ba571dfbfa4136b9f62e17baecb837ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0575",
    "kind": "arxiv",
    "version": 2
  }
}