Pith Number

pith:ADJHWLMF

pith:2012:ADJHWLMFWFH2KLTBT3XFFE6Q2C

not attested not anchored not stored refs pending

New Bessel Identities from Laguerre Polynomials

Asger C. Ipsen

arxiv:1203.5961 v1 · 2012-03-27 · math-ph · hep-th · 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{ADJHWLMFWFH2KLTBT3XFFE6Q2C}

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	2026-05-18T03:59:12.903516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00d27b2d85b14fa52e619eee5293d0d0b429ddfddf425e492610bbbce99bcfad

Aliases

arxiv: 1203.5961 · arxiv_version: 1203.5961v1 · doi: 10.48550/arxiv.1203.5961 · pith_short_12: ADJHWLMFWFH2 · pith_short_16: ADJHWLMFWFH2KLTB · pith_short_8: ADJHWLMF

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/ADJHWLMFWFH2KLTBT3XFFE6Q2C \
  | 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: 00d27b2d85b14fa52e619eee5293d0d0b429ddfddf425e492610bbbce99bcfad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1fa9b885ed62bb6539a45cd5c749c6b53f91464cf0469cf4b133329932e241",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-27T13:02:18Z",
    "title_canon_sha256": "25ce50952e474b45f1dcea6a71dabf2ac4fd799d9a493f56a004755dca3f1593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5961",
    "kind": "arxiv",
    "version": 1
  }
}