Pith Number

pith:LNHYY7M7

pith:2012:LNHYY7M7LRVMPNA2AX53XLM6ZQ

not attested not anchored not stored refs pending

Bessel Integrals, Periods and Zeta Numbers

Jean DESBOIS, Stephane Ouvry

arxiv:1209.1036 v2 · 2012-09-05 · 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{LNHYY7M7LRVMPNA2AX53XLM6ZQ}

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	2026-05-18T03:00:39.794311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b4f8c7d9f5c6ac7b41a05fbbbad9ecc3435f573a9ec7d107419a0af951b7e00

Aliases

arxiv: 1209.1036 · arxiv_version: 1209.1036v2 · doi: 10.48550/arxiv.1209.1036 · pith_short_12: LNHYY7M7LRVM · pith_short_16: LNHYY7M7LRVMPNA2 · pith_short_8: LNHYY7M7

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/LNHYY7M7LRVMPNA2AX53XLM6ZQ \
  | 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: 5b4f8c7d9f5c6ac7b41a05fbbbad9ecc3435f573a9ec7d107419a0af951b7e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886157149584d7e7739de2287a2804d577a5a9ed8675935ea3e9d745c1846433",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-05T16:39:10Z",
    "title_canon_sha256": "c18925ad6102a1af37ccad63498c2d3972e085e78a103f72cbc6ef31f8c51f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1036",
    "kind": "arxiv",
    "version": 2
  }
}