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Pith Number

pith:CNA3AJOE

pith:2013:CNA3AJOE6FVYJKW7ZQHA7JWI6A
not attested not anchored not stored refs pending

Note on Bessel functions of type $A_{N-1}$

B\'echir Amri

arxiv:1304.5016 v2 · 2013-04-18 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CNA3AJOE6FVYJKW7ZQHA7JWI6A}

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 2026-05-18T03:27:33.970432Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1341b025c4f16b84aadfcc0e0fa6c8f02fc3aaf0b256eb9e04fbf996f16e4d89

Aliases

arxiv: 1304.5016 · arxiv_version: 1304.5016v2 · doi: 10.48550/arxiv.1304.5016 · pith_short_12: CNA3AJOE6FVY · pith_short_16: CNA3AJOE6FVYJKW7 · pith_short_8: CNA3AJOE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CNA3AJOE6FVYJKW7ZQHA7JWI6A \
  | 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: 1341b025c4f16b84aadfcc0e0fa6c8f02fc3aaf0b256eb9e04fbf996f16e4d89
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0832d6cf91564ce3abc4c8f8bda858f20f1032e7a1280a7bba75019a6194b395",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-18T04:38:59Z",
    "title_canon_sha256": "47606a2f612ceb5e64a59f990d0900b42f772f734fff537fb768dddb59133a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5016",
    "kind": "arxiv",
    "version": 2
  }
}