Pith Number

pith:U6UCFPME

pith:2018:U6UCFPMEUKMRCZXK5WJT26JQX7

not attested not anchored not stored refs pending

On the Open Question of The Tracy-Widom Distribution of \beta-Ensemble With \beta=6

Yuqi Li

arxiv:1812.00522 v1 · 2018-12-03 · 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{U6UCFPMEUKMRCZXK5WJT26JQX7}

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	2026-05-17T23:59:21.113731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7a822bd84a2991166eaed933d7930bffef9ced6d58008b25164ecb53b03e39e

Aliases

arxiv: 1812.00522 · arxiv_version: 1812.00522v1 · doi: 10.48550/arxiv.1812.00522 · pith_short_12: U6UCFPMEUKMR · pith_short_16: U6UCFPMEUKMRCZXK · pith_short_8: U6UCFPME

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/U6UCFPMEUKMRCZXK5WJT26JQX7 \
  | 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: a7a822bd84a2991166eaed933d7930bffef9ced6d58008b25164ecb53b03e39e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3cfd46ef268ade135be09965f9d5dc673886b07a0985551b1809ece61f82aff",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-03T02:14:09Z",
    "title_canon_sha256": "2ef8262eda85758705d2773956fcfad4ab70cba1aa1b4a9fd50dc4cf095687ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00522",
    "kind": "arxiv",
    "version": 1
  }
}