Pith Number

pith:WILHONOA

pith:2011:WILHONOAFK2FHAUPRNT4UXUUZV

not attested not anchored not stored refs pending

Return probability for the loop-erased random walk and mean height in sandpile : a proof

P. Ruelle, V.B. Priezzhev, V.S. Poghosyan

arxiv:1106.5453 v1 · 2011-06-27 · cond-mat.stat-mech · hep-th · 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{WILHONOAFK2FHAUPRNT4UXUUZV}

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	2026-05-18T02:01:30.313325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2167735c02ab453828f8b67ca5e94cd79daeb25b6e8ce5db6d29ece733e934a

Aliases

arxiv: 1106.5453 · arxiv_version: 1106.5453v1 · doi: 10.48550/arxiv.1106.5453 · pith_short_12: WILHONOAFK2F · pith_short_16: WILHONOAFK2FHAUP · pith_short_8: WILHONOA

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/WILHONOAFK2FHAUPRNT4UXUUZV \
  | 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: b2167735c02ab453828f8b67ca5e94cd79daeb25b6e8ce5db6d29ece733e934a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50deeb3d454d61a44474ba5ddc4e01036d4a78825d8acec9bf467e211037dba",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-06-27T17:26:11Z",
    "title_canon_sha256": "64ce2d22489a0b37ced8365532fc72e50c51402ed247a55829de6565cf26e18b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5453",
    "kind": "arxiv",
    "version": 1
  }
}