Pith Number

pith:6JPYIVCN

pith:2004:6JPYIVCNFJSISNCACBLOEXDM7O

not attested not anchored not stored refs pending

The capacity associated to signed Riesz kernels, and Wolff potentials

Joan Mateu, Joan Verdera, Laura Prat

arxiv:math/0411441 v1 · 2004-11-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JPYIVCNFJSISNCACBLOEXDM7O}

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	2026-05-18T04:32:54.752958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f25f84544d2a648934401056e25c6cfb8d38229b5129fbcee2ac1f6ef86ebb42

Aliases

arxiv: math/0411441 · arxiv_version: math/0411441v1 · doi: 10.48550/arxiv.math/0411441 · pith_short_12: 6JPYIVCNFJSI · pith_short_16: 6JPYIVCNFJSISNCA · pith_short_8: 6JPYIVCN

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/6JPYIVCNFJSISNCACBLOEXDM7O \
  | 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: f25f84544d2a648934401056e25c6cfb8d38229b5129fbcee2ac1f6ef86ebb42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adcfb0dd27f2b4ca3e867cd58d7a66639699b2d0f429e3c65acce123b22c6d1e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-11-19T16:45:42Z",
    "title_canon_sha256": "1bcef21cda2f7d28dd47cf9ad170e41521e324e2e1e39eefecd52563b8e8eee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411441",
    "kind": "arxiv",
    "version": 1
  }
}