Pith Number

pith:GDXYSZJA

pith:2025:GDXYSZJAQL3B4PAD7ILWBHBXIC

not attested not anchored not stored refs pending

Global Universality of Singular Values in Products of Many Large Random Matrices

Boris Hanin, Tianze Jiang

arxiv:2503.07872 v1 · 2025-03-10 · 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{GDXYSZJAQL3B4PAD7ILWBHBXIC}

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.

Cited by

1 paper in Pith

There Will Be a Scientific Theory of Deep Learning

Receipt and verification

First computed	2026-07-05T10:28:45.611816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ef89652082f61e3c03fa17609c3740bc91c752a83832bdbc443268c3206d3f

Aliases

arxiv: 2503.07872 · arxiv_version: 2503.07872v1 · doi: 10.48550/arxiv.2503.07872 · pith_short_12: GDXYSZJAQL3B · pith_short_16: GDXYSZJAQL3B4PAD · pith_short_8: GDXYSZJA

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/GDXYSZJAQL3B4PAD7ILWBHBXIC \
  | 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: 30ef89652082f61e3c03fa17609c3740bc91c752a83832bdbc443268c3206d3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a1f6060f5fb8d500209fc3051922949ca5c53da645d4a593d90c214db2c1e8b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-10T21:38:07Z",
    "title_canon_sha256": "1e366f55a1ffc7fcb373a9e63415057e064651cad68abcd88a6a8522d70ae6a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07872",
    "kind": "arxiv",
    "version": 1
  }
}