Pith Number

pith:RX4KMF64

pith:2013:RX4KMF64GI5Z4YZ43J23TMXTMF

not attested not anchored not stored refs pending

Hardy spaces for Fourier--Bessel expansions

J. Dziuba\'nski, L. Roncal, M. Preisner, P. R. Stinga

arxiv:1306.4412 v2 · 2013-06-19 · math.CA · 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{RX4KMF64GI5Z4YZ43J23TMXTMF}

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	2026-05-18T02:58:43.189769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df8a617dc323b9e633cda75b9b2f361679d33970374eaf29da097f912b81f16

Aliases

arxiv: 1306.4412 · arxiv_version: 1306.4412v2 · doi: 10.48550/arxiv.1306.4412 · pith_short_12: RX4KMF64GI5Z · pith_short_16: RX4KMF64GI5Z4YZ4 · pith_short_8: RX4KMF64

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/RX4KMF64GI5Z4YZ43J23TMXTMF \
  | 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: 8df8a617dc323b9e633cda75b9b2f361679d33970374eaf29da097f912b81f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f55820910a23ef572a7deea21dfbde5e2f0084d7de38488a7274f17ec5d12ea",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-19T02:41:54Z",
    "title_canon_sha256": "324858d1b1e20d8004c327a239fd13a8328ddacf53dced25c08af6b2fbabd8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4412",
    "kind": "arxiv",
    "version": 2
  }
}