Pith Number

pith:P6VGMAXR

pith:2017:P6VGMAXR3EM3UNGZDISIF7NXVR

not attested not anchored not stored refs pending

A Hardy inequality for ultraspherical expansions with an application to the sphere

Alberto Arenas, Edgar Labarga, \'Oscar Ciaurri

arxiv:1703.03232 v1 · 2017-03-09 · 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{P6VGMAXR3EM3UNGZDISIF7NXVR}

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	2026-05-18T00:49:01.011426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7faa6602f1d919ba34d91a2482fdb7ac73d29695355af71df3b36d07b6503b16

Aliases

arxiv: 1703.03232 · arxiv_version: 1703.03232v1 · doi: 10.48550/arxiv.1703.03232 · pith_short_12: P6VGMAXR3EM3 · pith_short_16: P6VGMAXR3EM3UNGZ · pith_short_8: P6VGMAXR

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/P6VGMAXR3EM3UNGZDISIF7NXVR \
  | 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: 7faa6602f1d919ba34d91a2482fdb7ac73d29695355af71df3b36d07b6503b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1af5ca8c669d86a6beaaecafec5cda9ceabb1cf7ac7ed0d82e35876b49d293",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-09T11:29:56Z",
    "title_canon_sha256": "c76aba033306bdc30166ea3e7e143b7cbab07c5fd3ef61a0aeeb94384823b598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03232",
    "kind": "arxiv",
    "version": 1
  }
}