Pith Number

pith:KBWEPAER

pith:2013:KBWEPAEROWNLWIKO4R2IDEVG2T

not attested not anchored not stored refs pending

Extendable self-avoiding walks

Alexander E. Holroyd, Geoffrey R. Grimmett, Yuval Peres

arxiv:1307.7132 v2 · 2013-07-26 · 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{KBWEPAEROWNLWIKO4R2IDEVG2T}

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	2026-05-18T00:02:19.602598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506c478091759abb214ee4748192a6d4ce11bc854588f220eb5aaa4e2292734a

Aliases

arxiv: 1307.7132 · arxiv_version: 1307.7132v2 · doi: 10.48550/arxiv.1307.7132 · pith_short_12: KBWEPAEROWNL · pith_short_16: KBWEPAEROWNLWIKO · pith_short_8: KBWEPAER

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/KBWEPAEROWNLWIKO4R2IDEVG2T \
  | 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: 506c478091759abb214ee4748192a6d4ce11bc854588f220eb5aaa4e2292734a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0544587e38ae37a69e3b6bb9e3bbfb355acc3662eb4554526d5fbebbfbc3fe18",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-26T19:33:32Z",
    "title_canon_sha256": "efc3a51defa522cb1963803ad1b64650d9aa14bdc6c330522825f24e1f5a2e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7132",
    "kind": "arxiv",
    "version": 2
  }
}