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Pith Number

pith:NKWNFA47

pith:2013:NKWNFA47OP6GXBZXFI7PH23FAF
not attested not anchored not stored refs pending

Counting self-avoiding walks

Geoffrey R. Grimmett, Zhongyang Li

arxiv:1304.7216 v2 · 2013-04-26 · math.CO · math-ph · math.MP · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NKWNFA47OP6GXBZXFI7PH23FAF}

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 2026-05-18T02:20:18.502697Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6aacd2839f73fc6b87372a3ef3eb65015bfd7a6362f3db4dbfaf5b46da776671

Aliases

arxiv: 1304.7216 · arxiv_version: 1304.7216v2 · doi: 10.48550/arxiv.1304.7216 · pith_short_12: NKWNFA47OP6G · pith_short_16: NKWNFA47OP6GXBZX · pith_short_8: NKWNFA47
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NKWNFA47OP6GXBZXFI7PH23FAF \
  | 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: 6aacd2839f73fc6b87372a3ef3eb65015bfd7a6362f3db4dbfaf5b46da776671
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9db0308a8937bab1ecc74e5ae173fcf3008fe7e609906282fcaf42953ab8f0d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-26T16:15:22Z",
    "title_canon_sha256": "81fbc34e62b5b3667e5c2818e0fbc1617a3c1a5b5e3b0fe2a08b661e4e084106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7216",
    "kind": "arxiv",
    "version": 2
  }
}