Pith Number

pith:OLBURSUI

pith:2019:OLBURSUIT3J73ODDKB36MCENML

not attested not anchored not stored refs pending

CLT for Circular beta-Ensembles at High Temperature

Adrien Hardy, Gaultier Lambert

arxiv:1909.01142 v2 · 2019-09-03 · math.PR · math-ph · math.FA · 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{OLBURSUIT3J73ODDKB36MCENML}

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	2026-07-05T00:14:33.532072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c348ca889ed3fdb8635077e6088d62c5f0d3607b378c66bdc763fde1ce8fac

Aliases

arxiv: 1909.01142 · arxiv_version: 1909.01142v2 · doi: 10.48550/arxiv.1909.01142 · pith_short_12: OLBURSUIT3J7 · pith_short_16: OLBURSUIT3J73ODD · pith_short_8: OLBURSUI

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/OLBURSUIT3J73ODDKB36MCENML \
  | 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: 72c348ca889ed3fdb8635077e6088d62c5f0d3607b378c66bdc763fde1ce8fac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "340caab34ccd6db8ba144708ec4b52e3e78918a17fce0b8f56cdd00b974d52a4",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-09-03T13:05:40Z",
    "title_canon_sha256": "a0f23fdd32d44c32cb7301cac96420462b155cc32a20c22da0b2d24a059afb3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01142",
    "kind": "arxiv",
    "version": 2
  }
}