Pith Number

pith:QFHCXOVL

pith:2009:QFHCXOVLOTQRQ5HNZMALMA4XAM

not attested not anchored not stored refs pending

Dirichlet Duality and the Nonlinear Dirichlet Problem on Riemannian Manifolds

F. Reese Harvey, H. Blaine Lawson Jr

arxiv:0907.1981 v4 · 2009-07-13 · math.AP · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFHCXOVLOTQRQ5HNZMALMA4XAM}

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	2026-05-18T00:28:27.884964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

814e2bbaab74e11874edcb00b60397030a343cf42b2857d99637c16572e716dd

Aliases

arxiv: 0907.1981 · arxiv_version: 0907.1981v4 · doi: 10.48550/arxiv.0907.1981 · pith_short_12: QFHCXOVLOTQR · pith_short_16: QFHCXOVLOTQRQ5HN · pith_short_8: QFHCXOVL

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/QFHCXOVLOTQRQ5HNZMALMA4XAM \
  | 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: 814e2bbaab74e11874edcb00b60397030a343cf42b2857d99637c16572e716dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3249dfb43c4078ac4af09d9a3563d07da6961333f1803a6f7a44e3d7a14f642",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-07-13T13:50:44Z",
    "title_canon_sha256": "43a3e16409a14624bcc3b77e8f3c480aed5eb73b0dc5c3ec032de140ab1c0c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1981",
    "kind": "arxiv",
    "version": 4
  }
}