Pith Number

pith:J5HC7FV3

pith:2024:J5HC7FV3V5YNVP7EY2DUJVUFGD

not attested not anchored not stored refs pending

Fluctuation of the Largest Eigenvalue of a Kernel Matrix with application in Graphon-based Random Graphs

Anirban Chatterjee, Jiaoyang Huang

arxiv:2401.01866 v3 · 2024-01-03 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5HC7FV3V5YNVP7EY2DUJVUFGD}

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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	2026-07-05T11:56:47.805759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4e2f96bbaf70dabfe4c68744d68530d2c9e9b5513210b747186573c18e63fa

Aliases

arxiv: 2401.01866 · arxiv_version: 2401.01866v3 · doi: 10.48550/arxiv.2401.01866 · pith_short_12: J5HC7FV3V5YN · pith_short_16: J5HC7FV3V5YNVP7E · pith_short_8: J5HC7FV3

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/J5HC7FV3V5YNVP7EY2DUJVUFGD \
  | 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: 4f4e2f96bbaf70dabfe4c68744d68530d2c9e9b5513210b747186573c18e63fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88055999696eeca8e33fca4eee8e2bc691884799167856bd384f24f01c751d8",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-01-03T18:19:01Z",
    "title_canon_sha256": "5c1bc5bf85ded1865b3a2c532616c6642d40e2f747809099c306ce6ac939c054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.01866",
    "kind": "arxiv",
    "version": 3
  }
}