Pith Number

pith:QF4CA7LA

pith:2014:QF4CA7LAEGSAAARG2YBRMEQT2V

not attested not anchored not stored refs pending

Tight lower bound for percolation threshold on a quasi-regular graph

Kathleen E. Hamilton, Leonid P. Pryadko

arxiv:1405.0050 v1 · 2014-04-30 · math-ph · cond-mat.stat-mech · 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{QF4CA7LAEGSAAARG2YBRMEQT2V}

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	2026-05-18T02:34:52.374143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8178207d6021a4000226d603161213d55abc1c1d5037c5ee26fdd602288ef791

Aliases

arxiv: 1405.0050 · arxiv_version: 1405.0050v1 · doi: 10.48550/arxiv.1405.0050 · pith_short_12: QF4CA7LAEGSA · pith_short_16: QF4CA7LAEGSAAARG · pith_short_8: QF4CA7LA

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/QF4CA7LAEGSAAARG2YBRMEQT2V \
  | 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: 8178207d6021a4000226d603161213d55abc1c1d5037c5ee26fdd602288ef791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1862154f5ce95ce273c18878726fb5ae277a4c65ccebde248cbf6d97d0cac3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-04-30T22:45:55Z",
    "title_canon_sha256": "f1da7dcde110387163accdfbd71e832f3fd5e2b87bea0c4aa4c8af3c47d51325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0050",
    "kind": "arxiv",
    "version": 1
  }
}