Pith Number

pith:M2DMGWZR

pith:1993:M2DMGWZRKFNM6YYDF5OFFNFMWB

not attested not anchored not stored refs pending

Level-Spacing Distributions and the Bessel Kernel

Craig A. Tracy, Harold Widom

arxiv:hep-th/9304063 v2 · 1993-04-16 · hep-th · 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{M2DMGWZRKFNM6YYDF5OFFNFMWB}

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

Strong coupling structure of $\mathcal{N}=4$ SYM observables with matrix Bessel kernel

Receipt and verification

First computed	2026-07-04T15:45:57.185839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6686c35b31515acf63032f5c52b4acb057fc3b2732bc5bc77197a4e730f28e3f

Aliases

arxiv: hep-th/9304063 · arxiv_version: hep-th/9304063v2 · doi: 10.48550/arxiv.hep-th/9304063 · pith_short_12: M2DMGWZRKFNM · pith_short_16: M2DMGWZRKFNM6YYD · pith_short_8: M2DMGWZR

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/M2DMGWZRKFNM6YYDF5OFFNFMWB \
  | 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: 6686c35b31515acf63032f5c52b4acb057fc3b2732bc5bc77197a4e730f28e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a10daf6dc4e8bf8f39d115994e1bd8b9106722365773cd0847bf1c0d95a7ad0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-04-16T06:02:51Z",
    "title_canon_sha256": "101fe3bffb756e3e4cd7bd3c3480289406663d773b6b31ec46c292e91655396f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9304063",
    "kind": "arxiv",
    "version": 2
  }
}