Pith Number

pith:24GM5KU2

pith:2013:24GM5KU2EWOCYVQG2VOMHIJMWF

not attested not anchored not stored refs pending

A Russo Seymour Welsh Theorem for critical site percolation on \(\mathbb{Z}^2\)

Xiaolin Zeng

arxiv:1309.2273 v1 · 2013-09-09 · 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{24GM5KU2EWOCYVQG2VOMHIJMWF}

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	2026-05-18T03:13:46.754311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70cceaa9a259c2c5606d55cc3a12cb145d51d9c1d17a67dcbc96adc4f08ba05

Aliases

arxiv: 1309.2273 · arxiv_version: 1309.2273v1 · doi: 10.48550/arxiv.1309.2273 · pith_short_12: 24GM5KU2EWOC · pith_short_16: 24GM5KU2EWOCYVQG · pith_short_8: 24GM5KU2

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/24GM5KU2EWOCYVQG2VOMHIJMWF \
  | 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: d70cceaa9a259c2c5606d55cc3a12cb145d51d9c1d17a67dcbc96adc4f08ba05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a4949e48837566d6ef8c4daac3e08dffac4b094b2869e449bd489697c69c350",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-09T19:44:37Z",
    "title_canon_sha256": "ace4ca66cdb26a1e61c72b9be14c56398fae9ddab5227886dd66d27a0f0e08b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2273",
    "kind": "arxiv",
    "version": 1
  }
}