Pith Number

pith:WY4G4FKS

pith:2017:WY4G4FKS54JXBHG3XU6ZXUP4B3

not attested not anchored not stored refs pending

Asymptotic properties of the density of particles in $\beta$-ensembles

Alain Rouault, Emma Hovhannisyan, Martina Dal Borgo

arxiv:1707.07571 v1 · 2017-07-24 · 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{WY4G4FKS54JXBHG3XU6ZXUP4B3}

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	2026-05-18T00:21:13.306202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6386e1552ef13709cdbbd3d9bd1fc0ee406ea2215b05afdc9108cd62df6431a

Aliases

arxiv: 1707.07571 · arxiv_version: 1707.07571v1 · doi: 10.48550/arxiv.1707.07571 · pith_short_12: WY4G4FKS54JX · pith_short_16: WY4G4FKS54JXBHG3 · pith_short_8: WY4G4FKS

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/WY4G4FKS54JXBHG3XU6ZXUP4B3 \
  | 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: b6386e1552ef13709cdbbd3d9bd1fc0ee406ea2215b05afdc9108cd62df6431a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34fb6e7f4de3017cee475de593fe72706e185330cbe238335d2d7b91f5d1e87a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-24T14:21:51Z",
    "title_canon_sha256": "b277086d824d90e4ee3ac99443046e0fc1f7d4cfc31d9423a5ff5701e6e907ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07571",
    "kind": "arxiv",
    "version": 1
  }
}