Pith Number

pith:WGFOJZMC

pith:2015:WGFOJZMCDQ3ALAFLSDDNGJHCGX

not attested not anchored not stored refs pending

A weak kernel formula for Bessel functions

Jingsong Chai

arxiv:1512.02365 v1 · 2015-12-08 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGFOJZMCDQ3ALAFLSDDNGJHCGX}

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	2026-05-18T01:24:44.819339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b18ae4e5821c360580ab90c6d324e235c9ed5f4356f76aea3fb6444f8bbf9f86

Aliases

arxiv: 1512.02365 · arxiv_version: 1512.02365v1 · doi: 10.48550/arxiv.1512.02365 · pith_short_12: WGFOJZMCDQ3A · pith_short_16: WGFOJZMCDQ3ALAFL · pith_short_8: WGFOJZMC

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/WGFOJZMCDQ3ALAFLSDDNGJHCGX \
  | 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: b18ae4e5821c360580ab90c6d324e235c9ed5f4356f76aea3fb6444f8bbf9f86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fad8b80efae504a063cdf6e6c1bbf22eb30438f54409f671e75af5a34f9fa3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-08T08:31:14Z",
    "title_canon_sha256": "f4f630887f8a9d0f442161ed249625bbd688ee7b4b1ca93f1432f6636d0092b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02365",
    "kind": "arxiv",
    "version": 1
  }
}