Pith Number

pith:CD53QDJQ

pith:2012:CD53QDJQEAONWIL26HE2UEUDBQ

not attested not anchored not stored refs pending

An explicit formula for the linearization coefficients of Bessel polynomials II

Mohamed Jalel Atia

arxiv:1209.1329 v1 · 2012-09-06 · 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{CD53QDJQEAONWIL26HE2UEUDBQ}

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	2026-05-18T02:25:05.834980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10fbb80d30201cdb217af1c9aa12830c3ded1fe68ff2d5b986e218323a7718fb

Aliases

arxiv: 1209.1329 · arxiv_version: 1209.1329v1 · doi: 10.48550/arxiv.1209.1329 · pith_short_12: CD53QDJQEAON · pith_short_16: CD53QDJQEAONWIL2 · pith_short_8: CD53QDJQ

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/CD53QDJQEAONWIL26HE2UEUDBQ \
  | 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: 10fbb80d30201cdb217af1c9aa12830c3ded1fe68ff2d5b986e218323a7718fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc7206723b9bf488905bc591406b05b4aea64d0e079483c1d0a563066e1a40a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-06T16:10:44Z",
    "title_canon_sha256": "68c911e6ffdab30e125449926e86ed758e3e73f908430f96bc86604df5d5f4bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1329",
    "kind": "arxiv",
    "version": 1
  }
}