Pith Number

pith:VVQP4Z2D

pith:2007:VVQP4Z2D25K2WQFMRUKDPEWB64

not attested not anchored not stored refs pending

An Introduction to Potential Theory in Calibrated Geometry

F. Reese Harvey, H. Blaine Lawson Jr

arxiv:0710.3920 v4 · 2007-10-21 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVQP4Z2D25K2WQFMRUKDPEWB64}

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	2026-05-18T00:28:27.927587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad60fe6743d755ab40ac8d143792c1f70c106de92c00f08e57deff43e14671de

Aliases

arxiv: 0710.3920 · arxiv_version: 0710.3920v4 · doi: 10.48550/arxiv.0710.3920 · pith_short_12: VVQP4Z2D25K2 · pith_short_16: VVQP4Z2D25K2WQFM · pith_short_8: VVQP4Z2D

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/VVQP4Z2D25K2WQFMRUKDPEWB64 \
  | 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: ad60fe6743d755ab40ac8d143792c1f70c106de92c00f08e57deff43e14671de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43cd11085f21c0f5b26ef5163dcd9646289d508c46c09a21b8bc6f447fc89ce2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-10-21T10:32:27Z",
    "title_canon_sha256": "7245cf0f50089a8ab3f269e7e8dae3dea1f8fd726457b3bdccc0a2ab390942c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3920",
    "kind": "arxiv",
    "version": 4
  }
}