Pith Number

pith:I2XYYVDE

pith:2010:I2XYYVDESQPDYAYOIQYXRPIUS2

not attested not anchored not stored refs pending

Functional inequalities for modified Bessel functions

\'Arp\'ad Baricz, Matti Vuorinen, Saminathan Ponnusamy

arxiv:1009.4814 v2 · 2010-09-24 · 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{I2XYYVDESQPDYAYOIQYXRPIUS2}

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	2026-05-18T04:07:06.763560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46af8c5464941e3c030e443178bd149689f62f43b3039326fe0bd272173c5cb3

Aliases

arxiv: 1009.4814 · arxiv_version: 1009.4814v2 · doi: 10.48550/arxiv.1009.4814 · pith_short_12: I2XYYVDESQPD · pith_short_16: I2XYYVDESQPDYAYO · pith_short_8: I2XYYVDE

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/I2XYYVDESQPDYAYOIQYXRPIUS2 \
  | 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: 46af8c5464941e3c030e443178bd149689f62f43b3039326fe0bd272173c5cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00720d15f4a23fa7f5fbd29a6c95e4bc846f1103f280746e5888ed40cbe5401a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-24T11:59:18Z",
    "title_canon_sha256": "26d1bb0b5b52c40a9950c4bee09bbb519a3fca67d606d0b20037678e8c1430ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4814",
    "kind": "arxiv",
    "version": 2
  }
}