Pith Number

pith:ZQO6BHDE

pith:2011:ZQO6BHDE46VS4TNYF5OTIZBCOD

not attested not anchored not stored refs pending

Random-time processes governed by differential equations of fractional distributed order

Luisa Beghin

arxiv:1103.0386 v1 · 2011-03-02 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQO6BHDE46VS4TNYF5OTIZBCOD}

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	2026-05-18T02:03:01.176729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1de09c64e7ab2e4db82f5d34642270c2bb620346f1d95c2da0bb532f7af41d

Aliases

arxiv: 1103.0386 · arxiv_version: 1103.0386v1 · doi: 10.48550/arxiv.1103.0386 · pith_short_12: ZQO6BHDE46VS · pith_short_16: ZQO6BHDE46VS4TNY · pith_short_8: ZQO6BHDE

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/ZQO6BHDE46VS4TNYF5OTIZBCOD \
  | 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: cc1de09c64e7ab2e4db82f5d34642270c2bb620346f1d95c2da0bb532f7af41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a82689d547ffaf9eddac37e75f0c057f62b0f0650f4bef4cf5dba36c81a8f92",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-02T10:24:45Z",
    "title_canon_sha256": "554c8ec8c72b6f000b55e1e568e186da6c20582f03ff56939af4fe172831baed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0386",
    "kind": "arxiv",
    "version": 1
  }
}