Pith Number

pith:YJUZXU3Z

pith:2011:YJUZXU3ZMDYWXWKJUTSUHLH6KQ

not attested not anchored not stored refs pending

Potential Theory on Almost Complex Manifolds

F. Reese Harvey, H. Blaine Lawson Jr

arxiv:1107.2584 v2 · 2011-07-13 · math.CV · math.AP · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJUZXU3ZMDYWXWKJUTSUHLH6KQ}

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	2026-05-18T00:28:27.829815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2699bd37960f16bd949a4e543acfe54296141799edbb2b0760d442855dd7c8f

Aliases

arxiv: 1107.2584 · arxiv_version: 1107.2584v2 · doi: 10.48550/arxiv.1107.2584 · pith_short_12: YJUZXU3ZMDYW · pith_short_16: YJUZXU3ZMDYWXWKJ · pith_short_8: YJUZXU3Z

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/YJUZXU3ZMDYWXWKJUTSUHLH6KQ \
  | 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: c2699bd37960f16bd949a4e543acfe54296141799edbb2b0760d442855dd7c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e9de90300661c45ffe1298118bd6ff1c9ea4e34e4ca16c9caa48e9725bcab8",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-07-13T16:16:38Z",
    "title_canon_sha256": "94b1a3e0e5ce898a2c90eb935f763c2fbfc9e5226a732a3cb2d1df90a6eb86e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2584",
    "kind": "arxiv",
    "version": 2
  }
}