Pith Number

pith:RFYY6ZE4

pith:1999:RFYY6ZE4DMXL2VVDOTEAY3R772

not attested not anchored not stored refs pending

Crossing Probabilities in Critical 2-D Percolation and Modular Forms

Peter Kleban

arxiv:cond-mat/9911070 v1 · 1999-11-04 · cond-mat.stat-mech · hep-th · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFYY6ZE4DMXL2VVDOTEAY3R772}

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	2026-05-18T04:24:26.246984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89718f649c1b2ebd56a374c80c6e3ffeb2beb362cdcfcd0d3e4028aa90b9084f

Aliases

arxiv: cond-mat/9911070 · arxiv_version: cond-mat/9911070v1 · doi: 10.48550/arxiv.cond-mat/9911070 · pith_short_12: RFYY6ZE4DMXL · pith_short_16: RFYY6ZE4DMXL2VVD · pith_short_8: RFYY6ZE4

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/RFYY6ZE4DMXL2VVDOTEAY3R772 \
  | 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: 89718f649c1b2ebd56a374c80c6e3ffeb2beb362cdcfcd0d3e4028aa90b9084f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e06c9702feb75360fae0ea3b4ff26c09fb35430995003aab2247d59ccc19c0",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-11-04T23:27:59Z",
    "title_canon_sha256": "09098e56fad100a588accfa1b1cc4c9a79a1305d82a0cab3e99a418b6f52bafe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9911070",
    "kind": "arxiv",
    "version": 1
  }
}