Pith Number

pith:UCOFGFKW

pith:2024:UCOFGFKWNOCCNEXDVLFOI22YS4

not attested not anchored not stored refs pending

Central limit theorems for linear spectral statistics of inhomogeneous random graphs with graphon limits

Xiangyi Zhu, Yizhe Zhu

arxiv:2412.19352 v2 · 2024-12-26 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCOFGFKWNOCCNEXDVLFOI22YS4}

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

Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices

Receipt and verification

First computed	2026-07-05T10:45:58.792452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09c5315566b842692e3aacae46b589713b8adcbd8cf1d8f7d593180b59de7c7

Aliases

arxiv: 2412.19352 · arxiv_version: 2412.19352v2 · doi: 10.48550/arxiv.2412.19352 · pith_short_12: UCOFGFKWNOCC · pith_short_16: UCOFGFKWNOCCNEXD · pith_short_8: UCOFGFKW

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/UCOFGFKWNOCCNEXDVLFOI22YS4 \
  | 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: a09c5315566b842692e3aacae46b589713b8adcbd8cf1d8f7d593180b59de7c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d68f7ca40896b5867191e4ff55d1fd9a327ed077648e06155bef893e5037a68",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-26T21:15:49Z",
    "title_canon_sha256": "148aa8bca2eca193cebf03c3ddeb7bd95a5e6a8d86cadc7aa066c6dc4a597996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19352",
    "kind": "arxiv",
    "version": 2
  }
}