Pith Number

pith:C5D3V2VE

pith:2013:C5D3V2VEXHTRYUXDYHRGHC2XEU

not attested not anchored not stored refs pending

On polynomials connected to powers of Bessel functions

C. Vignat, Victor H. Moll

arxiv:1306.1224 v1 · 2013-06-05 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5D3V2VEXHTRYUXDYHRGHC2XEU}

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	2026-05-18T03:21:43.899312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1747baeaa4b9e71c52e3c1e2638b57251a035a56d440d12ef3c113fe2d2ac897

Aliases

arxiv: 1306.1224 · arxiv_version: 1306.1224v1 · doi: 10.48550/arxiv.1306.1224 · pith_short_12: C5D3V2VEXHTR · pith_short_16: C5D3V2VEXHTRYUXD · pith_short_8: C5D3V2VE

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/C5D3V2VEXHTRYUXDYHRGHC2XEU \
  | 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: 1747baeaa4b9e71c52e3c1e2638b57251a035a56d440d12ef3c113fe2d2ac897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519cad27f61f70c2ba46fbb354525cf8453a96bd0e0af6e6c9a4074a315448c0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-05T19:59:22Z",
    "title_canon_sha256": "72dd21c17431640b7c523ac30bc686ca4ca04c7a671648c4b1c4283a37e016fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1224",
    "kind": "arxiv",
    "version": 1
  }
}