Pith Number

pith:L2ADU5XO

pith:2015:L2ADU5XOFC4J5TFMDPZTVTQTHI

not attested not anchored not stored refs pending

Spacings - An Example for Universality in Random Matrix Theory

Kristina Schubert, Thomas Kriecherbauer

arxiv:1510.06597 v2 · 2015-10-22 · math.PR · math-ph · 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{L2ADU5XOFC4J5TFMDPZTVTQTHI}

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	2026-05-18T01:28:37.584174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e803a76ee28b89eccac1bf33ace133a2845106432604902ba7803846925a128

Aliases

arxiv: 1510.06597 · arxiv_version: 1510.06597v2 · doi: 10.48550/arxiv.1510.06597 · pith_short_12: L2ADU5XOFC4J · pith_short_16: L2ADU5XOFC4J5TFM · pith_short_8: L2ADU5XO

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/L2ADU5XOFC4J5TFMDPZTVTQTHI \
  | 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: 5e803a76ee28b89eccac1bf33ace133a2845106432604902ba7803846925a128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd337115020a1b264a796377ed5a98dbdef95a14a4d0534ae8ded8ae29aa19e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-22T12:29:22Z",
    "title_canon_sha256": "c327525dff5e4ff92871f308df6076961affa462d7f162c110bb504f4a860c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06597",
    "kind": "arxiv",
    "version": 2
  }
}