Pith Number

pith:33PF3RGB

pith:2011:33PF3RGBEFLODJOXZY3TDO6YMV

not attested not anchored not stored refs pending

Higher-order Laplace equations and hyper-Cauchy distributions

Enzo Orsingher, Mirko D'Ovidio

arxiv:1201.0141 v2 · 2011-12-30 · 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{33PF3RGBEFLODJOXZY3TDO6YMV}

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	2026-05-18T03:34:35.735812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dede5dc4c12156e1a5d7ce3731bbd8654cb1bae79d68f1747fb0424d6972bec6

Aliases

arxiv: 1201.0141 · arxiv_version: 1201.0141v2 · doi: 10.48550/arxiv.1201.0141 · pith_short_12: 33PF3RGBEFLO · pith_short_16: 33PF3RGBEFLODJOX · pith_short_8: 33PF3RGB

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/33PF3RGBEFLODJOXZY3TDO6YMV \
  | 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: dede5dc4c12156e1a5d7ce3731bbd8654cb1bae79d68f1747fb0424d6972bec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bafa8b4b7b871f57f044b9dd31b09d19a4d24a56e693c497cc70f33aaf2d06bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-30T15:41:35Z",
    "title_canon_sha256": "218a7e87130de7f44ca91bf3aec00cc59bac0d597628e8627f42a6b8c95dc884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0141",
    "kind": "arxiv",
    "version": 2
  }
}