Pith Number

pith:OCVNN4E2

pith:2013:OCVNN4E2WEB6CXJUFM6SZJGWLS

not attested not anchored not stored refs pending

Fractal properties of Bessel functions

Domagoj Vlah, Luka Korkut, Vesna Zupanovic

arxiv:1304.1762 v2 · 2013-04-05 · 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{OCVNN4E2WEB6CXJUFM6SZJGWLS}

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	2026-05-18T03:18:19.997132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70aad6f09ab103e15d342b3d2ca4d65cb5767fc552e5c8477a9641f960d32a78

Aliases

arxiv: 1304.1762 · arxiv_version: 1304.1762v2 · doi: 10.48550/arxiv.1304.1762 · pith_short_12: OCVNN4E2WEB6 · pith_short_16: OCVNN4E2WEB6CXJU · pith_short_8: OCVNN4E2

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/OCVNN4E2WEB6CXJUFM6SZJGWLS \
  | 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: 70aad6f09ab103e15d342b3d2ca4d65cb5767fc552e5c8477a9641f960d32a78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f5250fce328ec4c6d9008fae841b24f5ecb79ea92316e5c08475d0d6ca3687d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-05T16:58:31Z",
    "title_canon_sha256": "1f167f72540f85be0c5039a76b05b3cd4e622937f3ae17b81261f7370397ae4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1762",
    "kind": "arxiv",
    "version": 2
  }
}