Pith Number

pith:7GUF7EBY

pith:2013:7GUF7EBYLHZCGLUO2WHA26G7OC

not attested not anchored not stored refs pending

On a sum of modified Bessel functions

\'Arp\'ad Baricz, Tibor K. Pog\'any

arxiv:1301.5429 v1 · 2013-01-23 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GUF7EBYLHZCGLUO2WHA26G7OC}

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	2026-05-18T02:48:02.855742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a85f903859f2232e8ed58e0d78df709c129876c341590a2323df98ab1b98e0

Aliases

arxiv: 1301.5429 · arxiv_version: 1301.5429v1 · doi: 10.48550/arxiv.1301.5429 · pith_short_12: 7GUF7EBYLHZC · pith_short_16: 7GUF7EBYLHZCGLUO · pith_short_8: 7GUF7EBY

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/7GUF7EBYLHZCGLUO2WHA26G7OC \
  | 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: f9a85f903859f2232e8ed58e0d78df709c129876c341590a2323df98ab1b98e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d521676e2431b87fe1674d0e119cc2cf812fd63cbab6a1c831602f28d544b729",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-23T08:27:45Z",
    "title_canon_sha256": "0d91844ccc733d5913273e72d0541854fd9cec93a50fa3781a95ceda6c04cfb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5429",
    "kind": "arxiv",
    "version": 1
  }
}