Pith Number

pith:33NFBBLR

pith:2017:33NFBBLR7WY26VZ4M6CMF4KCZZ

not attested not anchored not stored refs pending

$L^p-L^q$ estimates for the solution of the Dunkl wave equation

B\'echir Amri, Mohamed Gaidi

arxiv:1706.08952 v2 · 2017-06-27 · 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{33NFBBLR7WY26VZ4M6CMF4KCZZ}

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	2026-05-18T00:41:20.232133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deda508571fdb1af573c6784c2f142ce57679eedb96425c7847dc96f61839a7d

Aliases

arxiv: 1706.08952 · arxiv_version: 1706.08952v2 · doi: 10.48550/arxiv.1706.08952 · pith_short_12: 33NFBBLR7WY2 · pith_short_16: 33NFBBLR7WY26VZ4 · pith_short_8: 33NFBBLR

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/33NFBBLR7WY26VZ4M6CMF4KCZZ \
  | 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: deda508571fdb1af573c6784c2f142ce57679eedb96425c7847dc96f61839a7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9475fcc4b51f469a764aa492be536be11d86f5b153c30bc549617265d8c0b62b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-27T17:31:07Z",
    "title_canon_sha256": "88e54f936e2a0397e5c111f67f92c887a541b663a8452515368fe8c102361af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08952",
    "kind": "arxiv",
    "version": 2
  }
}