Pith Number

pith:JPDC3GBH

pith:2019:JPDC3GBH3JW2ALYJWZX3FSRD7O

not attested not anchored not stored refs pending

Clark measures on the complex sphere

Aleksei B. Aleksandrov, Evgueni Doubtsov

arxiv:1904.04308 v1 · 2019-04-08 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPDC3GBH3JW2ALYJWZX3FSRD7O}

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	2026-05-17T23:48:59.332388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc62d9827da6da02f09b66fb2ca23fb91f29904beb3900f304032328ec53224

Aliases

arxiv: 1904.04308 · arxiv_version: 1904.04308v1 · doi: 10.48550/arxiv.1904.04308 · pith_short_12: JPDC3GBH3JW2 · pith_short_16: JPDC3GBH3JW2ALYJ · pith_short_8: JPDC3GBH

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/JPDC3GBH3JW2ALYJWZX3FSRD7O \
  | 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: 4bc62d9827da6da02f09b66fb2ca23fb91f29904beb3900f304032328ec53224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9acd07e69df00d88b61a9298b19355ed0249e24406c7b3b919e64499c794dfa",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-04-08T19:18:41Z",
    "title_canon_sha256": "14e7165431f1c13610fc0382462ddcf6f4264d4f2b9408a9ec1aec05f9d67eaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04308",
    "kind": "arxiv",
    "version": 1
  }
}