Pith Number

pith:JOUKFDQJ

pith:2007:JOUKFDQJX4TOT7WUMDAH6YSRDY

not attested not anchored not stored refs pending

A Proof of a Recursion for Bessel Moments

Bruno Salvy (INRIA Rocquencourt), Jonathan M. Borwein

arxiv:0706.1409 v2 · 2007-06-11 · cs.SC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOUKFDQJX4TOT7WUMDAH6YSRDY}

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	2026-05-18T03:20:45.851750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba8a28e09bf26e9fed460c07f62511e320c7c88b5519398ee3e80764a8ea46d

Aliases

arxiv: 0706.1409 · arxiv_version: 0706.1409v2 · doi: 10.48550/arxiv.0706.1409 · pith_short_12: JOUKFDQJX4TO · pith_short_16: JOUKFDQJX4TOT7WU · pith_short_8: JOUKFDQJ

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/JOUKFDQJX4TOT7WUMDAH6YSRDY \
  | 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: 4ba8a28e09bf26e9fed460c07f62511e320c7c88b5519398ee3e80764a8ea46d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6474767fe645703c14df7635c7a986322396a1ef1bd3ab5e662c4e18eb3c7623",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "cs.SC",
    "submitted_at": "2007-06-11T06:45:39Z",
    "title_canon_sha256": "e83cb2b333a2e89dedbbc7448cc0f688e60e50b83b53c437e978de63623815af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1409",
    "kind": "arxiv",
    "version": 2
  }
}