Pith Number

pith:YGDEXFLM

pith:2015:YGDEXFLMBCYWYC5SBD2T3NHWZL

not attested not anchored not stored refs pending

On the condition number of the critically-scaled Laguerre Unitary Ensemble

Govind Menon, Percy Deift, Thomas Trogdon

arxiv:1507.00750 v3 · 2015-07-02 · 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{YGDEXFLMBCYWYC5SBD2T3NHWZL}

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	2026-05-18T01:35:07.236542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1864b956c08b16c0bb208f53db4f6cace67b3b62c903bf52bd33f66d1254b08

Aliases

arxiv: 1507.00750 · arxiv_version: 1507.00750v3 · doi: 10.48550/arxiv.1507.00750 · pith_short_12: YGDEXFLMBCYW · pith_short_16: YGDEXFLMBCYWYC5S · pith_short_8: YGDEXFLM

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/YGDEXFLMBCYWYC5SBD2T3NHWZL \
  | 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: c1864b956c08b16c0bb208f53db4f6cace67b3b62c903bf52bd33f66d1254b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2f44eb23036330c4a41e420fe9cff1621380f410a93ac14fe66b669a3505d33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-02T20:26:45Z",
    "title_canon_sha256": "b049f6df6ad80d23aa404cf7e9a394a0576ffd15a863f2eb4c23a92377e70bd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00750",
    "kind": "arxiv",
    "version": 3
  }
}