Pith Number

pith:4EI54KJ7

pith:2016:4EI54KJ76772YFJAX5ZY4PX5OI

not attested not anchored not stored refs pending

On the Tracy-Widom$_\beta$ Distribution for $\beta=6$

Alexander Its, Andrey Kapaev, Francesco Mezzadri, Tamara Grava

arxiv:1607.01351 v3 · 2016-07-05 · 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{4EI54KJ76772YFJAX5ZY4PX5OI}

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.

Cited by

1 paper in Pith

PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"

Receipt and verification

First computed	2026-05-18T01:00:45.361030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e111de293ff7ffac1520bf738e3efd7215efb2b21672d6514936cd599d43bbc5

Aliases

arxiv: 1607.01351 · arxiv_version: 1607.01351v3 · doi: 10.48550/arxiv.1607.01351 · pith_short_12: 4EI54KJ76772 · pith_short_16: 4EI54KJ76772YFJA · pith_short_8: 4EI54KJ7

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/4EI54KJ76772YFJAX5ZY4PX5OI \
  | 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: e111de293ff7ffac1520bf738e3efd7215efb2b21672d6514936cd599d43bbc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6cfc8cfe4dcc321dbd164c99011ea6b88a011d18ef6c30ca3ce4f6504a2d44",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-05T18:05:24Z",
    "title_canon_sha256": "0ee8a5145dbba2f1bddc23c3cb2aae07edcefd6e8a3565898fa028bd7ee4d5cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01351",
    "kind": "arxiv",
    "version": 3
  }
}