Pith Number

pith:Y5NG3DEE

pith:2009:Y5NG3DEEK4AHLW6XAPL2YPWCAI

not attested not anchored not stored refs pending

Dirichlet forms and stochastic completeness of graphs and subgraphs

Daniel Lenz, Matthias Keller

arxiv:0904.2985 v2 · 2009-04-20 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5NG3DEEK4AHLW6XAPL2YPWCAI}

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	2026-05-18T04:24:35.356512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c75a6d8c84570075dbd703d7ac3ec2023df2bcc56b079a132e42d94c75fb7fba

Aliases

arxiv: 0904.2985 · arxiv_version: 0904.2985v2 · doi: 10.48550/arxiv.0904.2985 · pith_short_12: Y5NG3DEEK4AH · pith_short_16: Y5NG3DEEK4AHLW6X · pith_short_8: Y5NG3DEE

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/Y5NG3DEEK4AHLW6XAPL2YPWCAI \
  | 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: c75a6d8c84570075dbd703d7ac3ec2023df2bcc56b079a132e42d94c75fb7fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f01de04adcf2db0e106ba4fba3495223467048486b25d9451a66dc5b3eeadb4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-04-20T09:24:42Z",
    "title_canon_sha256": "d7311446d279f34391beba304ab798f5db6045cb76bcbc3f1f2da49b2dccc877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2985",
    "kind": "arxiv",
    "version": 2
  }
}