Pith Number

pith:SCW5XTFF

pith:2011:SCW5XTFFZT7YRJOEUOSAMS3TBJ

not attested not anchored not stored refs pending

Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation

Daniel Lenz, Matthias Keller

arxiv:1101.2979 v1 · 2011-01-15 · math.FA · 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{SCW5XTFFZT7YRJOEUOSAMS3TBJ}

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	2026-05-18T04:31:30.639451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90addbcca5ccff88a5c4a3a4064b730a4fb2f1442f301cb632e3bc13f3485355

Aliases

arxiv: 1101.2979 · arxiv_version: 1101.2979v1 · doi: 10.48550/arxiv.1101.2979 · pith_short_12: SCW5XTFFZT7Y · pith_short_16: SCW5XTFFZT7YRJOE · pith_short_8: SCW5XTFF

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/SCW5XTFFZT7YRJOEUOSAMS3TBJ \
  | 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: 90addbcca5ccff88a5c4a3a4064b730a4fb2f1442f301cb632e3bc13f3485355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "653590437c060528c2a61775a9b52f8d04e64514584d152f30410da23df25d20",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-15T12:29:09Z",
    "title_canon_sha256": "225a897778ddaf2f97981e2b5263e52b56c87da14359e8588b6846039aff2a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2979",
    "kind": "arxiv",
    "version": 1
  }
}