Pith Number

pith:YPO66ALE

pith:2014:YPO66ALEXR4CR3CTJ5LFGAXNDF

not attested not anchored not stored refs pending

Raney distributions and random matrix theory

Dang-Zheng Liu, Peter J. Forrester

arxiv:1404.5759 v1 · 2014-04-23 · 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{YPO66ALEXR4CR3CTJ5LFGAXNDF}

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	2026-05-18T01:43:26.012331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ddef0164bc7828ec534f565302ed196bc59f3eeeaa5e7b60b4dbae24ecdb3d

Aliases

arxiv: 1404.5759 · arxiv_version: 1404.5759v1 · doi: 10.48550/arxiv.1404.5759 · pith_short_12: YPO66ALEXR4C · pith_short_16: YPO66ALEXR4CR3CT · pith_short_8: YPO66ALE

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/YPO66ALEXR4CR3CTJ5LFGAXNDF \
  | 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: c3ddef0164bc7828ec534f565302ed196bc59f3eeeaa5e7b60b4dbae24ecdb3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1afd2299b7bb5ea80732e14594089d3b041060880ad7fb045a9b3d5dd31b30",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-04-23T09:25:41Z",
    "title_canon_sha256": "858d462334f83072d45eacb3cc8ac19f669ddffe2790704028d661e7cef64fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5759",
    "kind": "arxiv",
    "version": 1
  }
}