Pith Number

pith:MLKZMS7Y

pith:2007:MLKZMS7YMFJPKYZSXFKM6OAZVF

not attested not anchored not stored refs pending

Integral Formulas for the Asymmetric Simple Exclusion Process

Craig A. Tracy, Harold Widom

arxiv:0704.2633 v3 · 2007-04-19 · math.PR · 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{MLKZMS7YMFJPKYZSXFKM6OAZVF}

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	2026-05-18T04:15:48.258943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d5964bf86152f56332b954cf3819a96d216d4fbebfa16038af3d9c8951674e

Aliases

arxiv: 0704.2633 · arxiv_version: 0704.2633v3 · doi: 10.48550/arxiv.0704.2633 · pith_short_12: MLKZMS7YMFJP · pith_short_16: MLKZMS7YMFJPKYZS · pith_short_8: MLKZMS7Y

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/MLKZMS7YMFJPKYZSXFKM6OAZVF \
  | 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: 62d5964bf86152f56332b954cf3819a96d216d4fbebfa16038af3d9c8951674e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc961e99bb1e27d4713c78662f5df9c8e7c3dda5c746e7cdec938d1a4f24b52",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-04-19T23:44:42Z",
    "title_canon_sha256": "8f1e3479f99f3d0ab7c4e20d2e9c28beafb8ae1b71bc0e4f82b484fbc74dc499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2633",
    "kind": "arxiv",
    "version": 3
  }
}