Pith Number

pith:BWYOUAHK

pith:2013:BWYOUAHK4XF7NDTPWJHTNPWQTD

not attested not anchored not stored refs pending

Tur\'an type inequalities for some Lommel functions of the first kind

\'Arp\'ad Baricz, Stamatis Koumandos

arxiv:1308.6477 v1 · 2013-08-29 · 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{BWYOUAHK4XF7NDTPWJHTNPWQTD}

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	2026-05-18T00:40:24.695749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db0ea00eae5cbf68e6fb24f36bed098d5743cb483c35f1985553335a1c77ca0

Aliases

arxiv: 1308.6477 · arxiv_version: 1308.6477v1 · doi: 10.48550/arxiv.1308.6477 · pith_short_12: BWYOUAHK4XF7 · pith_short_16: BWYOUAHK4XF7NDTP · pith_short_8: BWYOUAHK

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/BWYOUAHK4XF7NDTPWJHTNPWQTD \
  | 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: 0db0ea00eae5cbf68e6fb24f36bed098d5743cb483c35f1985553335a1c77ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ac6ed03ba386e5ad348464345f3b9f5ab36fa676d4473be81ab1cf92d68d7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-29T14:16:50Z",
    "title_canon_sha256": "457fa0d0213782379bbf3a61eb1106726158d055bb241e1a6f39fb5399a23e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6477",
    "kind": "arxiv",
    "version": 1
  }
}