Pith Number

pith:AE5OXRFJ

pith:2015:AE5OXRFJVMLJLWTYWYCJHTNRCL

not attested not anchored not stored refs pending

Scaling limits for the critical Fortuin-Kastelyn model on a random planar map II: local estimates and empty reduced word exponent

Ewain Gwynne, Xin Sun

arxiv:1505.03375 v3 · 2015-05-13 · 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{AE5OXRFJVMLJLWTYWYCJHTNRCL}

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	2026-05-18T00:44:52.847773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

013aebc4a9ab1695da78b60493cdb112ced87ad1840a0af72022859647413123

Aliases

arxiv: 1505.03375 · arxiv_version: 1505.03375v3 · doi: 10.48550/arxiv.1505.03375 · pith_short_12: AE5OXRFJVMLJ · pith_short_16: AE5OXRFJVMLJLWTY · pith_short_8: AE5OXRFJ

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/AE5OXRFJVMLJLWTYWYCJHTNRCL \
  | 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: 013aebc4a9ab1695da78b60493cdb112ced87ad1840a0af72022859647413123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7665599adc3255c56760a46ae56dc09578ba8555f9c67b78aa79a43159e71e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-13T13:24:59Z",
    "title_canon_sha256": "063c03b5beeb2ec90e0a66243ebb42f3685e1d0b797832f1c9faf9ee20fa263c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03375",
    "kind": "arxiv",
    "version": 3
  }
}