Pith Number

pith:B3TI4KQA

pith:2017:B3TI4KQA3ZK6MOY4KX27LSGZMD

not attested not anchored not stored refs pending

The Hammersley-Welsh bound for self-avoiding walk revisited

Tom Hutchcroft

arxiv:1708.09460 v3 · 2017-08-30 · math.PR · math-ph · math.CO · 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{B3TI4KQA3ZK6MOY4KX27LSGZMD}

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	2026-05-18T00:29:51.368913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee68e2a00de55e63b1c55f5f5c8d960d0d2c323a63f68a35fa5a63521d2942d

Aliases

arxiv: 1708.09460 · arxiv_version: 1708.09460v3 · doi: 10.48550/arxiv.1708.09460 · pith_short_12: B3TI4KQA3ZK6 · pith_short_16: B3TI4KQA3ZK6MOY4 · pith_short_8: B3TI4KQA

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/B3TI4KQA3ZK6MOY4KX27LSGZMD \
  | 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: 0ee68e2a00de55e63b1c55f5f5c8d960d0d2c323a63f68a35fa5a63521d2942d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a920682f8a52360c66f0b350a4e88a6ab02764a1a2adfc3110bf1554f12494e8",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-30T20:34:20Z",
    "title_canon_sha256": "f09c19d9f9d714004d73bb847eafef27a1cac3bcfff90db6c5f1a287cde43fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09460",
    "kind": "arxiv",
    "version": 3
  }
}