Pith Number

pith:ZS2JJHUN

pith:2024:ZS2JJHUNRCM6RZQUSWJFCWCABC

not attested not anchored not stored refs pending

Universality for random matrices with an edge spectrum singularity

Thomas Bothner, Toby Shepherd

arxiv:2411.18550 v2 · 2024-11-27 · math-ph · math.CA · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZS2JJHUNRCM6RZQUSWJFCWCABC}

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	2026-07-05T12:09:11.754953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb4949e8d8899e8e6149592515840088e1ae538706c7c3be95af4d825cfe1f7

Aliases

arxiv: 2411.18550 · arxiv_version: 2411.18550v2 · doi: 10.48550/arxiv.2411.18550 · pith_short_12: ZS2JJHUNRCM6 · pith_short_16: ZS2JJHUNRCM6RZQU · pith_short_8: ZS2JJHUN

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/ZS2JJHUNRCM6RZQUSWJFCWCABC \
  | 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: ccb4949e8d8899e8e6149592515840088e1ae538706c7c3be95af4d825cfe1f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3aa0e5dc2073a88ef7b62684a2bc8c1a4d7a8e834fd50d0668ca3475ea5d9bc",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-11-27T17:51:23Z",
    "title_canon_sha256": "bdbc924ff647c056aaafc63cdf05651ae16364464ee4230fdcfb8feea5490b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18550",
    "kind": "arxiv",
    "version": 2
  }
}