Pith Number

pith:LP4RMKCB

pith:2016:LP4RMKCBMZLSMYFD4NMHGE2XFU

not attested not anchored not stored refs pending

Properties of the Tur\'anian of modified Bessel functions

\'Arp\'ad Baricz, Istv\'an Mez\H{o}

arxiv:1611.00438 v1 · 2016-11-02 · 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{LP4RMKCBMZLSMYFD4NMHGE2XFU}

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	2026-05-18T00:40:24.128022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bf916284166572660a3e3587313572d208e9eb548f85ab70e32d0aabca1fdd5

Aliases

arxiv: 1611.00438 · arxiv_version: 1611.00438v1 · doi: 10.48550/arxiv.1611.00438 · pith_short_12: LP4RMKCBMZLS · pith_short_16: LP4RMKCBMZLSMYFD · pith_short_8: LP4RMKCB

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/LP4RMKCBMZLSMYFD4NMHGE2XFU \
  | 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: 5bf916284166572660a3e3587313572d208e9eb548f85ab70e32d0aabca1fdd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167a7709f69b3419c2e062dfa2542f4281d1c0cd601c80ab5683338906bca67e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-02T01:31:20Z",
    "title_canon_sha256": "82f5b9c2dbc1b1b0c0de63ae4c21d65a66ff9d7a57a88e09d057e47829149fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00438",
    "kind": "arxiv",
    "version": 1
  }
}