Pith Number

pith:JKTFIK57

pith:2016:JKTFIK57J6AFVAIRWXQ6PTP7XL

not attested not anchored not stored refs pending

Gaussian beta ensembles at high temperature: eigenvalue fluctuations and bulk statistics

Fumihiko Nakano, Trinh Khanh Duy

arxiv:1611.09476 v2 · 2016-11-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKTFIK57J6AFVAIRWXQ6PTP7XL}

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	2026-05-18T00:34:35.225715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa6542bbf4f805a8111b5e1e7cdffbafec91284d6306e25d3d6b038dba68086

Aliases

arxiv: 1611.09476 · arxiv_version: 1611.09476v2 · doi: 10.48550/arxiv.1611.09476 · pith_short_12: JKTFIK57J6AF · pith_short_16: JKTFIK57J6AFVAIR · pith_short_8: JKTFIK57

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/JKTFIK57J6AFVAIRWXQ6PTP7XL \
  | 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: 4aa6542bbf4f805a8111b5e1e7cdffbafec91284d6306e25d3d6b038dba68086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "908ba87278d258593b9b0a88a66919a351cdff2c391c51f8f325f131d682d9b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-29T03:47:16Z",
    "title_canon_sha256": "319097142c94e91fcb6999f846ab34c57967ed30986c57cba76f9e71f11dc1b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09476",
    "kind": "arxiv",
    "version": 2
  }
}