Pith Number

pith:FOCKAE5Y

pith:2014:FOCKAE5YOVMRAUM4ZRGJ6AAVVY

not attested not anchored not stored refs pending

A generalised It\=o formula for L\'evy-driven Volterra processes

Christian Bender, Philip Oberacker, Robert Knobloch

arxiv:1402.6568 v3 · 2014-02-26 · 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{FOCKAE5YOVMRAUM4ZRGJ6AAVVY}

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	2026-05-18T02:25:56.266283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b84a013b8755910519ccc4c9f0015ae0460f4c8dea2a60fe2c36438c1397c71

Aliases

arxiv: 1402.6568 · arxiv_version: 1402.6568v3 · doi: 10.48550/arxiv.1402.6568 · pith_short_12: FOCKAE5YOVMR · pith_short_16: FOCKAE5YOVMRAUM4 · pith_short_8: FOCKAE5Y

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/FOCKAE5YOVMRAUM4ZRGJ6AAVVY \
  | 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: 2b84a013b8755910519ccc4c9f0015ae0460f4c8dea2a60fe2c36438c1397c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cce4c316e3610211c6a701838133f465a86c9102cb4ea23b83f91b35f941822",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-26T15:22:06Z",
    "title_canon_sha256": "04de6dc7a0eb54385b011254689d1b2ca6b9efa37f61527e1ae4335755d000d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6568",
    "kind": "arxiv",
    "version": 3
  }
}