Pith Number

pith:ESH47C3R

pith:2013:ESH47C3RCQXOUTU7CUFSOGB3OY

not attested not anchored not stored refs pending

Escape rates for rotor walk in Z^d

Laura Florescu, Lionel Levine, Shirshendu Ganguly, Yuval Peres

arxiv:1301.3521 v2 · 2013-01-15 · math.PR · cond-mat.stat-mech · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESH47C3RCQXOUTU7CUFSOGB3OY}

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	2026-05-18T03:04:59.615880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248fcf8b71142eea4e9f150b27183b761547909fa3604a3e926c54f393dbf201

Aliases

arxiv: 1301.3521 · arxiv_version: 1301.3521v2 · doi: 10.48550/arxiv.1301.3521 · pith_short_12: ESH47C3RCQXO · pith_short_16: ESH47C3RCQXOUTU7 · pith_short_8: ESH47C3R

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/ESH47C3RCQXOUTU7CUFSOGB3OY \
  | 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: 248fcf8b71142eea4e9f150b27183b761547909fa3604a3e926c54f393dbf201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1a714d04efe557348438f0b467f6c79950df3cfd88291905c24e1b6fe40bc4e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-15T22:46:45Z",
    "title_canon_sha256": "064632087a141303a1bd6e372e21ca0fb54a3f654eaaa694caed0d8f3c5fd6ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3521",
    "kind": "arxiv",
    "version": 2
  }
}