Pith Number

pith:UOWF4VRY

pith:2016:UOWF4VRYI4J4PVXRAMXCY4BBES

not attested not anchored not stored refs pending

On Wright's generalized Bessel kernel

Lun Zhang

arxiv:1608.02867 v2 · 2016-08-09 · math-ph · math.CA · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UOWF4VRYI4J4PVXRAMXCY4BBES}

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	2026-05-18T00:26:01.968297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ac5e56384713c7d6f1032e2c702124b4f89de99d283faadfb7e245c2471492

Aliases

arxiv: 1608.02867 · arxiv_version: 1608.02867v2 · doi: 10.48550/arxiv.1608.02867 · pith_short_12: UOWF4VRYI4J4 · pith_short_16: UOWF4VRYI4J4PVXR · pith_short_8: UOWF4VRY

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/UOWF4VRYI4J4PVXRAMXCY4BBES \
  | 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: a3ac5e56384713c7d6f1032e2c702124b4f89de99d283faadfb7e245c2471492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b14a9bdb6999d2e7868c570fd766b2d7459ff61343162738fd13a4f65fbe6d",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-09T16:58:17Z",
    "title_canon_sha256": "ccd1d5355f5751cb0a97c8c512fede047bfa76d9a8c014dad85984e386306e0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02867",
    "kind": "arxiv",
    "version": 2
  }
}