Pith Number

pith:AP5SSHOV

pith:2010:AP5SSHOV7DFVR7WBCQSSBJTS2R

not attested not anchored not stored refs pending

Capacities associated with scalar signed Riesz kernels, and analytic capacity

Joan Mateu, Joan Verdera, Laura Prat

arxiv:1004.2170 v2 · 2010-04-13 · 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{AP5SSHOV7DFVR7WBCQSSBJTS2R}

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	2026-05-18T02:56:42.672918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03fb291dd5f8cb58fec1142520a672d45e2fc1c2f16096a07ace97ebd9ddde8a

Aliases

arxiv: 1004.2170 · arxiv_version: 1004.2170v2 · doi: 10.48550/arxiv.1004.2170 · pith_short_12: AP5SSHOV7DFV · pith_short_16: AP5SSHOV7DFVR7WB · pith_short_8: AP5SSHOV

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/AP5SSHOV7DFVR7WBCQSSBJTS2R \
  | 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: 03fb291dd5f8cb58fec1142520a672d45e2fc1c2f16096a07ace97ebd9ddde8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06134e0d2c71597b538836ba32adc842ea897287ab6f21d4bd28a45c05b1d624",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-04-13T13:16:20Z",
    "title_canon_sha256": "4a8960ab7f3341512b5a7f53873d9343c5d4805b51f6ae62277e97819f7df6fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2170",
    "kind": "arxiv",
    "version": 2
  }
}