Pith Number

pith:Y4RPKPH7

pith:2013:Y4RPKPH7YPBJX3L5GM6TGHHPBA

not attested not anchored not stored refs pending

On mesoscopic equilibrium for linear statistics in Dyson's Brownian Motion

Kurt Johansson, Maurice Duits

arxiv:1312.4295 v1 · 2013-12-16 · math-ph · 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{Y4RPKPH7YPBJX3L5GM6TGHHPBA}

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	2026-05-18T03:04:34.973669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c722f53cffc3c29bed7d333d331cef08254bfde2e27b4c74901cd43cebac510d

Aliases

arxiv: 1312.4295 · arxiv_version: 1312.4295v1 · doi: 10.48550/arxiv.1312.4295 · pith_short_12: Y4RPKPH7YPBJ · pith_short_16: Y4RPKPH7YPBJX3L5 · pith_short_8: Y4RPKPH7

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/Y4RPKPH7YPBJX3L5GM6TGHHPBA \
  | 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: c722f53cffc3c29bed7d333d331cef08254bfde2e27b4c74901cd43cebac510d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb93e9ee2a498c91b1119ac71635aa97c051448baacbfabb8a9171c830de24f",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-16T10:27:56Z",
    "title_canon_sha256": "abd168930183b56d9f9099cbae86422ded1075d5405048d47f4cbfc5de8cac40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4295",
    "kind": "arxiv",
    "version": 1
  }
}