Pith Number

pith:NANCEFJM

pith:2023:NANCEFJMPDFROA6RWCQHTAVS5Z

not attested not anchored not stored refs pending

The Spectral Edge of Constant Degree Erd\H{o}s-R\'{e}nyi Graphs

Ella Hiesmayr, Theo McKenzie

arxiv:2309.11007 v1 · 2023-09-20 · math.PR · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NANCEFJMPDFROA6RWCQHTAVS5Z}

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

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

Receipt and verification

First computed	2026-07-05T06:52:29.800383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681a22152c78cb1703d1b0a07982b2ee66f1999bf130513fe48fb51e93cc8e5b

Aliases

arxiv: 2309.11007 · arxiv_version: 2309.11007v1 · doi: 10.48550/arxiv.2309.11007 · pith_short_12: NANCEFJMPDFR · pith_short_16: NANCEFJMPDFROA6R · pith_short_8: NANCEFJM

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/NANCEFJMPDFROA6RWCQHTAVS5Z \
  | 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: 681a22152c78cb1703d1b0a07982b2ee66f1999bf130513fe48fb51e93cc8e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e6c54f99f18be5ea1c44a652821d27f3b8c0f847cc521956482553283da6f7a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-09-20T02:23:13Z",
    "title_canon_sha256": "7db7dd770e642ecf8223329ae5acc3c0c43794da7dac64c2b8d2a101163521f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.11007",
    "kind": "arxiv",
    "version": 1
  }
}