Pith Number

pith:X5PTJLFV

pith:1992:X5PTJLFVDXOG4WUMLD647ONMLH

not attested not anchored not stored refs pending

Level-Spacing Distributions and the Airy Kernel

Craig A. Tracy, Harold Widom

arxiv:hep-th/9211141 v1 · 1992-12-01 · hep-th · cond-mat · math-ph · math.MP · nlin.SI · solv-int

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5PTJLFVDXOG4WUMLD647ONMLH}

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

5 papers in Pith

Logarithmic negativity typically equals exact entanglement cost

Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

Multicritical Scaling Limit of Shifted Schur Measure

The Tracy-Widom distribution at large Dyson index

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-07-04T15:45:57.170908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5f34acb51ddc6e5a8c58fdcfb9ac59e774af9f01390734d8387e2d0dbe2633

Aliases

arxiv: hep-th/9211141 · arxiv_version: hep-th/9211141v1 · doi: 10.48550/arxiv.hep-th/9211141 · pith_short_12: X5PTJLFVDXOG · pith_short_16: X5PTJLFVDXOG4WUM · pith_short_8: X5PTJLFV

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/X5PTJLFVDXOG4WUMLD647ONMLH \
  | 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: bf5f34acb51ddc6e5a8c58fdcfb9ac59e774af9f01390734d8387e2d0dbe2633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b995afa4f77f571be6793d70f9838fa0ce56a1da5c25ecdd4fcf67119acdf0",
    "cross_cats_sorted": [
      "cond-mat",
      "math-ph",
      "math.MP",
      "nlin.SI",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1992-12-01T01:21:00Z",
    "title_canon_sha256": "5af004ecdb50e85490d1e49a11573826b5a4cfd6d9a02a2da73df92c8d130e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9211141",
    "kind": "arxiv",
    "version": 1
  }
}