Pith Number

pith:QF7KI7PG

pith:2011:QF7KI7PG5C5I6MQ3ZPGYBOLCZR

not attested not anchored not stored refs pending

Fractional diffusion equations and processes with randomly varying time

Enzo Orsingher, Luisa Beghin

arxiv:1102.4729 v1 · 2011-02-23 · 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{QF7KI7PG5C5I6MQ3ZPGYBOLCZR}

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	2026-05-18T04:28:07.482127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817ea47de6e8ba8f321bcbcd80b962cc6771f8f9565d64fa00ca6fc21c914ad3

Aliases

arxiv: 1102.4729 · arxiv_version: 1102.4729v1 · doi: 10.48550/arxiv.1102.4729 · pith_short_12: QF7KI7PG5C5I · pith_short_16: QF7KI7PG5C5I6MQ3 · pith_short_8: QF7KI7PG

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/QF7KI7PG5C5I6MQ3ZPGYBOLCZR \
  | 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: 817ea47de6e8ba8f321bcbcd80b962cc6771f8f9565d64fa00ca6fc21c914ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86343fbb6e1e282ee90be26fec3c04498772e24d2333d9a3371acc31196e9851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-23T13:00:03Z",
    "title_canon_sha256": "6ddac8feae1e18b6fed3e0d4e9da75a15007175af2b1c76f273de08c87c0f323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4729",
    "kind": "arxiv",
    "version": 1
  }
}