Pith Number

pith:7QNTR575

pith:2012:7QNTR575R2UAWOKODPOCYJVRGO

not attested not anchored not stored refs pending

Asymptotics of spacing distributions at the hard edge for $\beta$-ensembles

Peter J. Forrester

arxiv:1208.2388 v1 · 2012-08-11 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QNTR575R2UAWOKODPOCYJVRGO}

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	2026-05-18T01:20:59.609502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc1b38f7fd8ea80b394e1bdc2c26b1339d635f51c2766d2554f18659ad2eaba6

Aliases

arxiv: 1208.2388 · arxiv_version: 1208.2388v1 · doi: 10.48550/arxiv.1208.2388 · pith_short_12: 7QNTR575R2UA · pith_short_16: 7QNTR575R2UAWOKO · pith_short_8: 7QNTR575

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/7QNTR575R2UAWOKODPOCYJVRGO \
  | 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: fc1b38f7fd8ea80b394e1bdc2c26b1339d635f51c2766d2554f18659ad2eaba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "503f54bd3ee5d71f01e76c4e360dc1c3388187c1946b298c9ff9936e09ddb7e5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-11T23:21:02Z",
    "title_canon_sha256": "654f612b511456e5f2e70f733937606ea1e1c53bf9a1463c7305cccd695df733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2388",
    "kind": "arxiv",
    "version": 1
  }
}