Pith Number

pith:CHT36J75

pith:2003:CHT36J752KYLXVHV7IRTLCPQDP

not attested not anchored not stored refs pending

Random matrices with external source and multiple orthogonal polynomials

A.B.J. Kuijlaars, P.M. Bleher

arxiv:math-ph/0307055 v1 · 2003-07-28 · math-ph · hep-th · math.CA · 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{CHT36J752KYLXVHV7IRTLCPQDP}

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	2026-05-18T04:25:39.520209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11e7bf27fdd2b0bbd4f5fa233589f01bf230987706c2e38ce7a9df278624638b

Aliases

arxiv: math-ph/0307055 · arxiv_version: math-ph/0307055v1 · doi: 10.48550/arxiv.math-ph/0307055 · pith_short_12: CHT36J752KYL · pith_short_16: CHT36J752KYLXVHV · pith_short_8: CHT36J75

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/CHT36J752KYLXVHV7IRTLCPQDP \
  | 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: 11e7bf27fdd2b0bbd4f5fa233589f01bf230987706c2e38ce7a9df278624638b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a86660da0665c5ec781ebeb128408850090e7b48075f4a38642557d5ad2f29",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-07-28T09:28:25Z",
    "title_canon_sha256": "c3a4e1c5b8bbce750f0fe75514fa57857d5f7250ab1204c59286ac81d0dbe40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0307055",
    "kind": "arxiv",
    "version": 1
  }
}