Pith Number

pith:JGUB2C2H

pith:2011:JGUB2C2HQQ5LPXCRS66AAMU3SM

not attested not anchored not stored refs pending

An explicit formula for the linearization coefficients of Bessel polynomials

Jiang Zeng, Mohamed Jalel Atia

arxiv:1109.4660 v1 · 2011-09-21 · 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{JGUB2C2HQQ5LPXCRS66AAMU3SM}

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	2026-05-18T04:12:33.234239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49a81d0b47843ab7dc5197bc00329b931f1b9deb891c0fd4ad265b41f9f4c227

Aliases

arxiv: 1109.4660 · arxiv_version: 1109.4660v1 · doi: 10.48550/arxiv.1109.4660 · pith_short_12: JGUB2C2HQQ5L · pith_short_16: JGUB2C2HQQ5LPXCR · pith_short_8: JGUB2C2H

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/JGUB2C2HQQ5LPXCRS66AAMU3SM \
  | 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: 49a81d0b47843ab7dc5197bc00329b931f1b9deb891c0fd4ad265b41f9f4c227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ab42f62dd3b9e49676f25e623c5d01aef6aac76f8d854a4eabe1e34ff5952b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-21T22:04:14Z",
    "title_canon_sha256": "fc7ac44c46788b7dc4e6cf3291dc670a9ba2c7ce31b0a2f308bf6b44752a3494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4660",
    "kind": "arxiv",
    "version": 1
  }
}