Pith Number

pith:BORH7N2D

pith:2025:BORH7N2DOXWB6WELT4BL22YM7S

not attested not anchored not stored refs pending

Central limit theorems for the eigenvalues of graph Laplacians on data clouds

Chenghui Li, Housen Li, Leo Suchan, Nicol\'as Garc\'ia Trillos

arxiv:2507.18803 v1 · 2025-07-24 · stat.ML · cs.LG · math.AP · math.DG · 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{BORH7N2DOXWB6WELT4BL22YM7S}

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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

On the edge eigenvalues of sparse random geometric graphs

Receipt and verification

First computed	2026-07-05T11:42:58.581498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ba27fb74375ec1f588b9f02bd6b0cfcb74cf243cf9a613f9462eda1c1b62029

Aliases

arxiv: 2507.18803 · arxiv_version: 2507.18803v1 · doi: 10.48550/arxiv.2507.18803 · pith_short_12: BORH7N2DOXWB · pith_short_16: BORH7N2DOXWB6WEL · pith_short_8: BORH7N2D

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/BORH7N2DOXWB6WELT4BL22YM7S \
  | 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: 0ba27fb74375ec1f588b9f02bd6b0cfcb74cf243cf9a613f9462eda1c1b62029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9983c8e66b24c2bdc790042718f9556674e3c60b6ed6332538a31a7fc003da",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AP",
      "math.DG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-07-24T21:03:20Z",
    "title_canon_sha256": "e3fbb6cdc69a7d20de1ff12d083ddea72ec7ea4057efd960f51d70f4ad029bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18803",
    "kind": "arxiv",
    "version": 1
  }
}