Pith Number

pith:KHFYICJR

pith:2016:KHFYICJRF7O45K7EAA2NNRQYJV

not attested not anchored not stored refs pending

Spherical $\Pi$-type Operators in Clifford Analysis and Applications

John Ryan, Uwe K\"ahler, Wanqing Cheng

arxiv:1609.02840 v1 · 2016-09-09 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHFYICJRF7O45K7EAA2NNRQYJV}

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	2026-05-18T01:04:51.107079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51cb8409312fddceabe40034d6c6184d46c826cdb5becc3861aed098413530c6

Aliases

arxiv: 1609.02840 · arxiv_version: 1609.02840v1 · doi: 10.48550/arxiv.1609.02840 · pith_short_12: KHFYICJRF7O4 · pith_short_16: KHFYICJRF7O45K7E · pith_short_8: KHFYICJR

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/KHFYICJRF7O45K7EAA2NNRQYJV \
  | 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: 51cb8409312fddceabe40034d6c6184d46c826cdb5becc3861aed098413530c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c54f22f32e3f06cda7fea9a3fbaf0e77fc5e97a04f66909dfcdbccdad8ce35b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-09-09T15:49:50Z",
    "title_canon_sha256": "e4d49178e0c73d596c856e4858f2bcb2a62ea58186cc95873c5f8db91313747b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02840",
    "kind": "arxiv",
    "version": 1
  }
}