Pith Number

pith:7OLFM6CO

pith:2013:7OLFM6COFDM3EH4OKXZCKDXYEQ

not attested not anchored not stored refs pending

Harmonic functions of general graph Laplacians

Bobo Hua, Matthias Keller

arxiv:1303.7198 v2 · 2013-03-28 · math.MG · math-ph · math.MP · 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{7OLFM6COFDM3EH4OKXZCKDXYEQ}

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	2026-05-18T03:13:10.425306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb9656784e28d9b21f8e55f2250ef8242d4e3f418131e721bd4a5a6130a6c3f5

Aliases

arxiv: 1303.7198 · arxiv_version: 1303.7198v2 · doi: 10.48550/arxiv.1303.7198 · pith_short_12: 7OLFM6COFDM3 · pith_short_16: 7OLFM6COFDM3EH4O · pith_short_8: 7OLFM6CO

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/7OLFM6COFDM3EH4OKXZCKDXYEQ \
  | 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: fb9656784e28d9b21f8e55f2250ef8242d4e3f418131e721bd4a5a6130a6c3f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0632f6c9de3c730b8382147927bbc5894b167a60eccbe4849a24b2c703da25",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-03-28T18:41:22Z",
    "title_canon_sha256": "8ba0f616bbf79eb8e982f99189ff7c16966b6dd1e1147f4fe297d8b6007fb620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7198",
    "kind": "arxiv",
    "version": 2
  }
}