Pith Number

pith:J4QFP7Z4

pith:2012:J4QFP7Z4CMNBXUPCROMCBNDEPY

not attested not anchored not stored refs pending

Radial growth, Lipschitz and Dirichlet spaces on solutions to the Yukawa equation

Antti Rasila, Shaolin Chen, Xiantao Wang

arxiv:1207.2990 v1 · 2012-07-12 · math.AP · 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{J4QFP7Z4CMNBXUPCROMCBNDEPY}

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	2026-05-18T03:51:13.326586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2057ff3c131a1bd1e28b9820b4647e1567415792332827a886bf1b28f8c6ce

Aliases

arxiv: 1207.2990 · arxiv_version: 1207.2990v1 · doi: 10.48550/arxiv.1207.2990 · pith_short_12: J4QFP7Z4CMNB · pith_short_16: J4QFP7Z4CMNBXUPC · pith_short_8: J4QFP7Z4

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/J4QFP7Z4CMNBXUPCROMCBNDEPY \
  | 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: 4f2057ff3c131a1bd1e28b9820b4647e1567415792332827a886bf1b28f8c6ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "792e6d75b46a10a5fcc2afbd178444c15461c3d4cd3d94fb279a16bec255708a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-12T15:07:27Z",
    "title_canon_sha256": "fb5fa84a0fa5487f190e04d619ec88828a5698d737a0a257c1dd9485a7cec69e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2990",
    "kind": "arxiv",
    "version": 1
  }
}