Pith Number

pith:Q2B3CGFI

pith:2012:Q2B3CGFIRPP3NBEWSCEOWFP3MH

not attested not anchored not stored refs pending

Probabilistic representation of fundamental solutions to $\frac{\partial u}{\partial t} = \kappa_m \frac{\partial^m u}{\partial x^m}$

Enzo Orsingher, Mirko D'Ovidio

arxiv:1203.3133 v1 · 2012-03-14 · 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{Q2B3CGFIRPP3NBEWSCEOWFP3MH}

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	2026-05-18T04:00:03.283116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8683b118a88bdfb684969088eb15fb61e18c3cb9f7b313d78b36b19c58fb3bb7

Aliases

arxiv: 1203.3133 · arxiv_version: 1203.3133v1 · doi: 10.48550/arxiv.1203.3133 · pith_short_12: Q2B3CGFIRPP3 · pith_short_16: Q2B3CGFIRPP3NBEW · pith_short_8: Q2B3CGFI

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/Q2B3CGFIRPP3NBEWSCEOWFP3MH \
  | 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: 8683b118a88bdfb684969088eb15fb61e18c3cb9f7b313d78b36b19c58fb3bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a285e52e64acb709014e5a9871fcc5804f0fc03dad5d2d993e1d17bf1796d96e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-14T16:40:41Z",
    "title_canon_sha256": "31910e60aab788cb52bd1d269f5792f30783f8211e59386bfe8339ba75ef4c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3133",
    "kind": "arxiv",
    "version": 1
  }
}