Pith Number

pith:4AWHHKJB

pith:2013:4AWHHKJBBXGO3LF3YLASDE7IXL

not attested not anchored not stored refs pending

Dunkl positive definite functions

Jamel El Kamel, Khaled Mehrez

arxiv:1304.2880 v2 · 2013-04-10 · 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{4AWHHKJBBXGO3LF3YLASDE7IXL}

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	2026-05-18T03:22:05.201807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02c73a9210dccedacbbc2c12193e8bae7ba1fb22b504098f0c0edb6689ef854

Aliases

arxiv: 1304.2880 · arxiv_version: 1304.2880v2 · doi: 10.48550/arxiv.1304.2880 · pith_short_12: 4AWHHKJBBXGO · pith_short_16: 4AWHHKJBBXGO3LF3 · pith_short_8: 4AWHHKJB

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/4AWHHKJBBXGO3LF3YLASDE7IXL \
  | 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: e02c73a9210dccedacbbc2c12193e8bae7ba1fb22b504098f0c0edb6689ef854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0918cfb7ea32f86c58eeebb9525212843599fa8d0fdae07c327f5b29f735f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-10T09:03:49Z",
    "title_canon_sha256": "0760756b24e25030b5d52362b18097c975afb753d4d2cc84d604678fc8e39ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2880",
    "kind": "arxiv",
    "version": 2
  }
}