Pith Number

pith:SGJJ63SS

pith:2026:SGJJ63SSR7AEA25ULEYAW5PY6S

not attested not anchored not stored refs pending

A random walk approach to high-dimensional critical phenomena

Aman Markar, Gordon Slade, Hugo Duminil-Copin, Romain Panis

arxiv:2605.21438 v1 · 2026-05-20 · 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{SGJJ63SSR7AEA25ULEYAW5PY6S}

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	2026-05-21T02:05:37.045175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91929f6e528fc0406bb459300b75f8f49ad06e9d2915af9b5404966d393a0784

Aliases

arxiv: 2605.21438 · arxiv_version: 2605.21438v1 · doi: 10.48550/arxiv.2605.21438 · pith_short_12: SGJJ63SSR7AE · pith_short_16: SGJJ63SSR7AEA25U · pith_short_8: SGJJ63SS

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/SGJJ63SSR7AEA25ULEYAW5PY6S \
  | 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: 91929f6e528fc0406bb459300b75f8f49ad06e9d2915af9b5404966d393a0784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a571a39d3c51976c9921401570d0a8ffda289625d321c5bb966c782bb3759476",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-20T17:27:43Z",
    "title_canon_sha256": "3c2d801fbc2b85487e2855abdb1a6335be66f106f3c95e948c589258647749a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21438",
    "kind": "arxiv",
    "version": 1
  }
}