Pith Number

pith:OEUEV6TN

pith:2010:OEUEV6TNM47AX7KXULCD34CI37

not attested not anchored not stored refs pending

Multi-Parameter Div-Curl Lemmas

Brett D. Wick, Jill C. Pipher, Michael T. Lacey, Stefanie Petermichl

arxiv:1001.2534 v1 · 2010-01-14 · math.CA · 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{OEUEV6TNM47AX7KXULCD34CI37}

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	2026-05-18T02:58:02.475356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71284afa6d673e0bfd57a2c43df048dfe8b87c923f63b52f744a5f3241cd4fb0

Aliases

arxiv: 1001.2534 · arxiv_version: 1001.2534v1 · doi: 10.48550/arxiv.1001.2534 · pith_short_12: OEUEV6TNM47A · pith_short_16: OEUEV6TNM47AX7KX · pith_short_8: OEUEV6TN

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/OEUEV6TNM47AX7KXULCD34CI37 \
  | 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: 71284afa6d673e0bfd57a2c43df048dfe8b87c923f63b52f744a5f3241cd4fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1402f5af8b6ad18bd7be3753edb65c886b973883b9c16fc6bdb6a1195087253f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-01-14T19:20:29Z",
    "title_canon_sha256": "dca9a489832f446a17469ca754b7fd3c0073159ae905a827f4512e91c70b7be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2534",
    "kind": "arxiv",
    "version": 1
  }
}