Pith Number

pith:WK74LSE3

pith:2025:WK74LSE3IO4XDLFGVSFEVCWJN4

not attested not anchored not stored refs pending

Quantitative Tracy-Widom laws for sparse random matrices

Kevin Schnelli, Teodor Bucht, Yuanyuan Xu

arxiv:2507.19340 v1 · 2025-07-25 · 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{WK74LSE3IO4XDLFGVSFEVCWJN4}

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

Order statistics for edge eigenvectors of Wigner matrices

Receipt and verification

First computed	2026-07-05T11:43:23.783533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2bfc5c89b43b971aca6ac8a4a8ac96f336894cb0571b90001c22238af194e53

Aliases

arxiv: 2507.19340 · arxiv_version: 2507.19340v1 · doi: 10.48550/arxiv.2507.19340 · pith_short_12: WK74LSE3IO4X · pith_short_16: WK74LSE3IO4XDLFG · pith_short_8: WK74LSE3

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/WK74LSE3IO4XDLFGVSFEVCWJN4 \
  | 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: b2bfc5c89b43b971aca6ac8a4a8ac96f336894cb0571b90001c22238af194e53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7821b05c605f0fcd942bc0f2b053a110645d10d9db587c9eee336b1c6adee09c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-25T14:50:07Z",
    "title_canon_sha256": "c411309d6431043cfcc8c9cc74841103a6dfb61d7577095fae3d86ee63ba39af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19340",
    "kind": "arxiv",
    "version": 1
  }
}