Pith Number

pith:KVROVSVB

pith:2019:KVROVSVBIP4ZW6NUDXUOR6CYSO

not attested not anchored not stored refs pending

Spectral Convergence of Graph Laplacian and Heat Kernel Reconstruction in $L^\infty$ from Random Samples

David B Dunson, Hau-Tieng Wu, Nan Wu

arxiv:1912.05680 v5 · 2019-12-11 · 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{KVROVSVBIP4ZW6NUDXUOR6CYSO}

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.

Receipt and verification

First computed	2026-07-05T02:51:06.023454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5562eacaa143f99b79b41de8e8f85893b1e0cb23adb04030eecaca461a6a56db

Aliases

arxiv: 1912.05680 · arxiv_version: 1912.05680v5 · doi: 10.48550/arxiv.1912.05680 · pith_short_12: KVROVSVBIP4Z · pith_short_16: KVROVSVBIP4ZW6NU · pith_short_8: KVROVSVB

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/KVROVSVBIP4ZW6NUDXUOR6CYSO \
  | 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: 5562eacaa143f99b79b41de8e8f85893b1e0cb23adb04030eecaca461a6a56db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b987c56d2f25374652e9e77a98132aa897a09eff442850a2d1fff08252e681e4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-12-11T22:56:04Z",
    "title_canon_sha256": "39eb43ef3804f35930c0205d4af07e361a98fdf288838ec26450f63726ce69a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.05680",
    "kind": "arxiv",
    "version": 5
  }
}