Pith Number

pith:MA2NPD5P

pith:2013:MA2NPD5PJDB4XDJQZ2UXMNB5JB

not attested not anchored not stored refs pending

Dunkl-spherical maximal function

Abdessattar Jemai

arxiv:1312.3744 v3 · 2013-12-13 · 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{MA2NPD5PJDB4XDJQZ2UXMNB5JB}

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	2026-05-18T03:04:06.076180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6034d78faf48c3cb8d30cea976343d4868cbd11d9ecb4d4e3c27d199b624165b

Aliases

arxiv: 1312.3744 · arxiv_version: 1312.3744v3 · doi: 10.48550/arxiv.1312.3744 · pith_short_12: MA2NPD5PJDB4 · pith_short_16: MA2NPD5PJDB4XDJQ · pith_short_8: MA2NPD5P

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/MA2NPD5PJDB4XDJQZ2UXMNB5JB \
  | 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: 6034d78faf48c3cb8d30cea976343d4868cbd11d9ecb4d4e3c27d199b624165b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd12f691a4fc7942a20597fe4e96117f4caf61e80bb7270a783f47c7c4a8cbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-13T09:44:55Z",
    "title_canon_sha256": "3730782a19c897f2f8ebc0b8c8d43d80fffb7c5cc42edbea44cc710a38ff0d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3744",
    "kind": "arxiv",
    "version": 3
  }
}