Pith Number

pith:LP6VAUKR

pith:2012:LP6VAUKRLUFOABIDPIUIOF7DXN

not attested not anchored not stored refs pending

Self-avoiding walks and the Fisher transformation

Geoffrey R. Grimmett, Zhongyang Li

arxiv:1208.5019 v1 · 2012-08-24 · math.CO · 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{LP6VAUKRLUFOABIDPIUIOF7DXN}

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	2026-05-18T02:21:00.332393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bfd5051515d0ae005037a288717e3bb76421833df9d327964383508c37e6398

Aliases

arxiv: 1208.5019 · arxiv_version: 1208.5019v1 · doi: 10.48550/arxiv.1208.5019 · pith_short_12: LP6VAUKRLUFO · pith_short_16: LP6VAUKRLUFOABID · pith_short_8: LP6VAUKR

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/LP6VAUKRLUFOABIDPIUIOF7DXN \
  | 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: 5bfd5051515d0ae005037a288717e3bb76421833df9d327964383508c37e6398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a9c08c64a4a3e15fa338923ee790a193dad355da0effb9f491bff96d4d37fa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-24T17:49:54Z",
    "title_canon_sha256": "1a809ca95778d81a62d5b394e7fe9265f102b6f331ee7623c652def29a655933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5019",
    "kind": "arxiv",
    "version": 1
  }
}