Pith Number

pith:VP5NBVQB

pith:2017:VP5NBVQB5D2JMPIBD3NHNAY46R

not attested not anchored not stored refs pending

Self-avoiding walks and connective constants

Geoffrey R. Grimmett, Zhongyang Li

arxiv:1704.05884 v2 · 2017-04-19 · math.CO · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VP5NBVQB5D2JMPIBD3NHNAY46R}

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	2026-05-17T23:40:49.913381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abfad0d601e8f4963d011eda76831cf45eb467d82fe1156be7c8a5946d8108c2

Aliases

arxiv: 1704.05884 · arxiv_version: 1704.05884v2 · doi: 10.48550/arxiv.1704.05884 · pith_short_12: VP5NBVQB5D2J · pith_short_16: VP5NBVQB5D2JMPIB · pith_short_8: VP5NBVQB

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/VP5NBVQB5D2JMPIBD3NHNAY46R \
  | 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: abfad0d601e8f4963d011eda76831cf45eb467d82fe1156be7c8a5946d8108c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1819f368b43b136818c04fd2604883c81aece1829d68a5c5fb85636a4f026aad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-19T18:24:29Z",
    "title_canon_sha256": "3838146dfd0de0b40ddebe8544cb5e1580d7a8126cb2baec37f19c7bd8cc2bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05884",
    "kind": "arxiv",
    "version": 2
  }
}