Pith Number

pith:HPA4MEOC

pith:1995:HPA4MEOCWMR7UR4NDOYDNO2PES

not attested not anchored not stored refs pending

On Orthogonal and Symplectic Matrix Ensembles

Craig A. Tracy (Univ. of California, Davis), Harold Widom (Univ. of California, Santa Cruz)

arxiv:solv-int/9509007 v1 · 1995-09-17 · solv-int · hep-th · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPA4MEOCWMR7UR4NDOYDNO2PES}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

2 papers in Pith

The Tracy-Widom distribution at large Dyson index

Introductory Lectures on Resurgence: CERN Summer School 2024

Receipt and verification

First computed	2026-05-18T02:35:06.543597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bc1c611c2b323fa478d1bb036bb4f24803d32f8a578d509abf9c5c2a41ca6cb

Aliases

arxiv: solv-int/9509007 · arxiv_version: solv-int/9509007v1 · doi: 10.48550/arxiv.solv-int/9509007 · pith_short_12: HPA4MEOCWMR7 · pith_short_16: HPA4MEOCWMR7UR4N · pith_short_8: HPA4MEOC

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/HPA4MEOCWMR7UR4NDOYDNO2PES \
  | 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: 3bc1c611c2b323fa478d1bb036bb4f24803d32f8a578d509abf9c5c2a41ca6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24db2dc96720054ae64ab8f0840f415274e7db8bd2a31dd9e177f42dfad54c43",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "solv-int",
    "submitted_at": "1995-09-17T16:59:47Z",
    "title_canon_sha256": "0ad7982fb86fd90b26ccbec079c5f57fdc5179d9026c111e1ea6ede4f4dc7cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "solv-int/9509007",
    "kind": "arxiv",
    "version": 1
  }
}