Pith Number

pith:AF72H2JX

pith:2015:AF72H2JXQTPROTSWOARBWGHYAF

not attested not anchored not stored refs pending

From Schoenberg coefficients to Schoenberg functions

Christian Berg, Emilio Porcu

arxiv:1505.05682 v2 · 2015-05-21 · 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{AF72H2JXQTPROTSWOARBWGHYAF}

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	2026-05-18T01:25:39.059648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017fa3e93784df174e5670221b18f8017d5e534152d10fffdd1e986c3eaf5f33

Aliases

arxiv: 1505.05682 · arxiv_version: 1505.05682v2 · doi: 10.48550/arxiv.1505.05682 · pith_short_12: AF72H2JXQTPR · pith_short_16: AF72H2JXQTPROTSW · pith_short_8: AF72H2JX

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/AF72H2JXQTPROTSWOARBWGHYAF \
  | 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: 017fa3e93784df174e5670221b18f8017d5e534152d10fffdd1e986c3eaf5f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8860c606eb684521609a7f2168d51ee84c97cc6eff3cbef2873afd86aa113cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-21T11:53:57Z",
    "title_canon_sha256": "fab50950e7e680d5e4cd9e8493025119bf881a6db3d28cc5774aa5682054f12b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05682",
    "kind": "arxiv",
    "version": 2
  }
}