Pith Number

pith:375QQHSC

pith:2011:375QQHSC4H3VTKJZJMC2JP62UJ

not attested not anchored not stored refs pending

Local semicircle law in the bulk for Gaussian $\beta$-ensemble

Percy Wong, Philippe Sosoe

arxiv:1112.2016 v4 · 2011-12-09 · 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{375QQHSC4H3VTKJZJMC2JP62UJ}

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	2026-05-18T01:59:14.623370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dffb081e42e1f759a9394b05a4bfdaa26420cb937e840721f8d6da13fb3c5514

Aliases

arxiv: 1112.2016 · arxiv_version: 1112.2016v4 · doi: 10.48550/arxiv.1112.2016 · pith_short_12: 375QQHSC4H3V · pith_short_16: 375QQHSC4H3VTKJZ · pith_short_8: 375QQHSC

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/375QQHSC4H3VTKJZJMC2JP62UJ \
  | 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: dffb081e42e1f759a9394b05a4bfdaa26420cb937e840721f8d6da13fb3c5514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0acd201fdf7666cf272a0b3f5e5bf446f8f99ab8fd77c0dbcf0527c48d83ee66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-09T04:36:00Z",
    "title_canon_sha256": "1a7e92eef617741857bfd3e794bdbe97e7c1342f311def056a818eecf2c69448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2016",
    "kind": "arxiv",
    "version": 4
  }
}