Pith Number

pith:XQXPMIM3

pith:2015:XQXPMIM3EJZS77UMB2UICY5K5N

not attested not anchored not stored refs pending

Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map I: cone times

Cheng Mao, Ewain Gwynne, Xin Sun

arxiv:1502.00546 v3 · 2015-02-02 · 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{XQXPMIM3EJZS77UMB2UICY5K5N}

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	2026-05-17T23:56:00.965263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc2ef6219b22732ffe8c0ea88163aaeb4c1423b1899f8bdcb108bb4d1cce3c11

Aliases

arxiv: 1502.00546 · arxiv_version: 1502.00546v3 · doi: 10.48550/arxiv.1502.00546 · pith_short_12: XQXPMIM3EJZS · pith_short_16: XQXPMIM3EJZS77UM · pith_short_8: XQXPMIM3

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/XQXPMIM3EJZS77UMB2UICY5K5N \
  | 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: bc2ef6219b22732ffe8c0ea88163aaeb4c1423b1899f8bdcb108bb4d1cce3c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "459f15e2ef802d1a967724b9d5bc9c9950405853ce2f1a966892c2bbcf5a8071",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-02T16:59:50Z",
    "title_canon_sha256": "aaeb06b7b6f331fef90c0bbeb835292b3b970747d4a5036fa0808d886cd72021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00546",
    "kind": "arxiv",
    "version": 3
  }
}