Pith Number

pith:WVBNBTQV

pith:2013:WVBNBTQVBVMAWZGOFTSGKOGRH3

not attested not anchored not stored refs pending

Hard hexagon partition function for complex fugacity

B.M. McCoy, I. Jensen, J.L. Jacobsen, J-M. Maillard, M. Assis

arxiv:1306.6389 v2 · 2013-06-27 · 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{WVBNBTQVBVMAWZGOFTSGKOGRH3}

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	2026-05-18T03:06:54.857704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b542d0ce150d580b64ce2ce46538d13ef52cd342c485a1391d22cd244c4ce151

Aliases

arxiv: 1306.6389 · arxiv_version: 1306.6389v2 · doi: 10.48550/arxiv.1306.6389 · pith_short_12: WVBNBTQVBVMA · pith_short_16: WVBNBTQVBVMAWZGO · pith_short_8: WVBNBTQV

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/WVBNBTQVBVMAWZGOFTSGKOGRH3 \
  | 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: b542d0ce150d580b64ce2ce46538d13ef52cd342c485a1391d22cd244c4ce151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6becfb2a1650acacbd2e334f9ae43f01af6d1c344d195637978761be4a3c8633",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-27T01:19:56Z",
    "title_canon_sha256": "32f0772cb1b0b1c77baa27ba7fea701152b262cc9973c655c4733487ecc6fbf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6389",
    "kind": "arxiv",
    "version": 2
  }
}