Pith Number

pith:MCGJ3QGQ

pith:2019:MCGJ3QGQYPQ4TE6YAVE6F6WAHI

not attested not anchored not stored refs pending

An Application of Fractional Differential Equations to Risk Theory

Corina D. Constantinescu, Jorge M. Ramirez, Wei R. Zhu

arxiv:1905.10398 v1 · 2019-05-24 · 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{MCGJ3QGQYPQ4TE6YAVE6F6WAHI}

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	2026-05-17T23:45:08.659803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608c9dc0d0c3e1c993d80549e2fac03a17272b5e3d0977d153968fcdde6b79fd

Aliases

arxiv: 1905.10398 · arxiv_version: 1905.10398v1 · doi: 10.48550/arxiv.1905.10398 · pith_short_12: MCGJ3QGQYPQ4 · pith_short_16: MCGJ3QGQYPQ4TE6Y · pith_short_8: MCGJ3QGQ

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/MCGJ3QGQYPQ4TE6YAVE6F6WAHI \
  | 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: 608c9dc0d0c3e1c993d80549e2fac03a17272b5e3d0977d153968fcdde6b79fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b63a7a12bf4cc39c661322513b09024e1032c1f66bfdfd8a497329b5539b3e64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-24T18:28:30Z",
    "title_canon_sha256": "04f6d1a499cab3219613010f06af26754de0c8bc7644340976ca2fe3af265a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10398",
    "kind": "arxiv",
    "version": 1
  }
}