Pith Number

pith:QHJGVAP7

pith:2014:QHJGVAP7ZXMR5VHTKSF3HNYK2U

not attested not anchored not stored refs pending

Global properties of Dirichlet forms in terms of Green's formula

Daniel Lenz, Jun Masamune, Marcel Schmidt, Matthias Keller, Sebastian Haeseler

arxiv:1412.3355 v1 · 2014-12-10 · math.FA · 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{QHJGVAP7ZXMR5VHTKSF3HNYK2U}

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	2026-05-18T02:31:36.884450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81d26a81ffcdd91ed4f3548bb3b70ad52d6d2eb85afe5d85a8ceedcb3432dc63

Aliases

arxiv: 1412.3355 · arxiv_version: 1412.3355v1 · doi: 10.48550/arxiv.1412.3355 · pith_short_12: QHJGVAP7ZXMR · pith_short_16: QHJGVAP7ZXMR5VHT · pith_short_8: QHJGVAP7

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/QHJGVAP7ZXMR5VHTKSF3HNYK2U \
  | 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: 81d26a81ffcdd91ed4f3548bb3b70ad52d6d2eb85afe5d85a8ceedcb3432dc63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d002d6c49cde512a56a3148e3a69c3c4555cd5693b770557f9a94b8b2c44aaa7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-10T16:27:51Z",
    "title_canon_sha256": "eb03ed0f2b02ea9955234ee68eefedbdc1689cf668941293a80c829aa8199415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3355",
    "kind": "arxiv",
    "version": 1
  }
}