Pith Number

pith:ATAM7J5L

pith:1994:ATAM7J5L3TGUFGM7NKJLEVFI7D

not attested not anchored not stored refs pending

Conformal invariance in two-dimensional percolation

Philippe Pouliot, Robert Langlands, Yvan Saint-Aubin

arxiv:math/9401222 v1 · 1994-01-01 · 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{ATAM7J5L3TGUFGM7NKJLEVFI7D}

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	2026-05-18T04:38:37.508514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c0cfa7abdccd42999f6a92b254a8f8c27ed72b72b465c3561f5190a108f98c

Aliases

arxiv: math/9401222 · arxiv_version: math/9401222v1 · doi: 10.48550/arxiv.math/9401222 · pith_short_12: ATAM7J5L3TGU · pith_short_16: ATAM7J5L3TGUFGM7 · pith_short_8: ATAM7J5L

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/ATAM7J5L3TGUFGM7NKJLEVFI7D \
  | 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: 04c0cfa7abdccd42999f6a92b254a8f8c27ed72b72b465c3561f5190a108f98c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51755ea22bb97b44334e40348856d2dc03ab63328049fa72d8fc2e1dd070fc26",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1994-01-01T00:00:00Z",
    "title_canon_sha256": "238b73b8e768790d88f8caca087026b69b05bd0cb4682fd0c88f16d4a451a08f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9401222",
    "kind": "arxiv",
    "version": 1
  }
}