Pith Number

pith:DLGHNG4U

pith:2010:DLGHNG4UTODLOO7PFJGG6EMAVH

not attested not anchored not stored refs pending

Enumeration of closed random walks in the square lattice according to their areas

Morteza Mohammad-Noori

arxiv:1012.3720 v1 · 2010-12-16 · 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{DLGHNG4UTODLOO7PFJGG6EMAVH}

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	2026-05-18T04:33:05.782516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1acc769b949b86b73bef2a4c6f1180a9d162ec82088e51c9b8195cfabb40266c

Aliases

arxiv: 1012.3720 · arxiv_version: 1012.3720v1 · doi: 10.48550/arxiv.1012.3720 · pith_short_12: DLGHNG4UTODL · pith_short_16: DLGHNG4UTODLOO7P · pith_short_8: DLGHNG4U

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/DLGHNG4UTODLOO7PFJGG6EMAVH \
  | 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: 1acc769b949b86b73bef2a4c6f1180a9d162ec82088e51c9b8195cfabb40266c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad85bfb4df6dab3bbbfc1675fcd9a3d3a3759117ede099611e0f46e70b6d2c28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-16T19:08:52Z",
    "title_canon_sha256": "115beed406996f00ed13622ecf6d7742b7fe8651e1a0b1a6a073ccede3fbaf94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3720",
    "kind": "arxiv",
    "version": 1
  }
}