Pith Number

pith:CGTUT6OX

pith:2003:CGTUT6OXPPSSOTSBVLCTZV4YCH

not attested not anchored not stored refs pending

Products and Ratios of Characteristic Polynomials of Random Hermitian Matrices

Eugene Strahov, Jinho Baik, Percy Deift

arxiv:math-ph/0304016 v1 · 2003-04-10 · math-ph · math.CA · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGTUT6OXPPSSOTSBVLCTZV4YCH}

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

Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory

Receipt and verification

First computed	2026-05-18T01:38:33.847196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a749f9d77be5274e41aac53cd79811fb644f4fd6e0d89d391ae4c0f226cd6d

Aliases

arxiv: math-ph/0304016 · arxiv_version: math-ph/0304016v1 · doi: 10.48550/arxiv.math-ph/0304016 · pith_short_12: CGTUT6OXPPSS · pith_short_16: CGTUT6OXPPSSOTSB · pith_short_8: CGTUT6OX

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/CGTUT6OXPPSSOTSBVLCTZV4YCH \
  | 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: 11a749f9d77be5274e41aac53cd79811fb644f4fd6e0d89d391ae4c0f226cd6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a8666cfef9ac47b1b6bdd13833922ea04941d86330641e78f33ac5f62f934f1",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-04-10T17:25:11Z",
    "title_canon_sha256": "7d24cbe86731d167f7a05e49d45079a6691411b1e83cafbebcd02185ec33af26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0304016",
    "kind": "arxiv",
    "version": 1
  }
}