Pith Number

pith:5CGDZ6KO

pith:2003:5CGDZ6KO5MUBZGYS2V63SRKLXA

not attested not anchored not stored refs pending

Eigenvalue Spacing Distribution for the Ensemble of Real Symmetric Toeplitz Matrices

Christopher Hammond, Steven J. Miller

arxiv:math/0312215 v1 · 2003-12-10 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CGDZ6KO5MUBZGYS2V63SRKLXA}

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	2026-05-18T04:35:55.553149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88c3cf94eeb281c9b12d57db9454bb8265ca1a9ad163885c51dd208d59c710c

Aliases

arxiv: math/0312215 · arxiv_version: math/0312215v1 · doi: 10.48550/arxiv.math/0312215 · pith_short_12: 5CGDZ6KO5MUB · pith_short_16: 5CGDZ6KO5MUBZGYS · pith_short_8: 5CGDZ6KO

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/5CGDZ6KO5MUBZGYS2V63SRKLXA \
  | 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: e88c3cf94eeb281c9b12d57db9454bb8265ca1a9ad163885c51dd208d59c710c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb06b43dbb9418aca473678914bba55edbf616b99d20dbae3d0546bbbb14182",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-12-10T17:05:12Z",
    "title_canon_sha256": "a95bb4b0a688b2bdd8d255af693f527c89992206cce96e754a7aed13b8bb5278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312215",
    "kind": "arxiv",
    "version": 1
  }
}