Pith Number

pith:BGGBBCTG

pith:2015:BGGBBCTGCSPG4WRV3T4EMXQE4F

not attested not anchored not stored refs pending

Gaussian asymptotics of discrete $\beta$-ensembles

Alexei Borodin, Alice Guionnet, Vadim Gorin

arxiv:1505.03760 v2 · 2015-05-14 · math.PR · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGGBBCTGCSPG4WRV3T4EMXQE4F}

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	2026-05-18T00:45:58.963267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098c108a66149e6e5a35dcf8465e04e1618d5b7e4fb9393900b34b06991b2a25

Aliases

arxiv: 1505.03760 · arxiv_version: 1505.03760v2 · doi: 10.48550/arxiv.1505.03760 · pith_short_12: BGGBBCTGCSPG · pith_short_16: BGGBBCTGCSPG4WRV · pith_short_8: BGGBBCTG

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/BGGBBCTGCSPG4WRV3T4EMXQE4F \
  | 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: 098c108a66149e6e5a35dcf8465e04e1618d5b7e4fb9393900b34b06991b2a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd455efb5edcafcabc73e24566dcd64f79c454c44ec50fd93459134b4a66a672",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-14T15:41:06Z",
    "title_canon_sha256": "4cc7994de33bea72aa36876d6d16fc3253db08b4527dbae11bef35481457942a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03760",
    "kind": "arxiv",
    "version": 2
  }
}