Pith Number

pith:FD6XS4BS

pith:2016:FD6XS4BSU4YBQKVZJUSMOWTCAH

not attested not anchored not stored refs pending

Fractional calculus and path-wise integration for Volterra processes driven by L\'evy and martingale noise

Giulia Di Nunno, Konstiantyn Ralchenko, Yuliya Mishura

arxiv:1608.08466 v1 · 2016-08-30 · 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{FD6XS4BSU4YBQKVZJUSMOWTCAH}

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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	2026-05-18T01:07:18.055932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28fd797032a730182ab94d24c75a6201e248b6b40921c89c37778d787d6b8a37

Aliases

arxiv: 1608.08466 · arxiv_version: 1608.08466v1 · doi: 10.48550/arxiv.1608.08466 · pith_short_12: FD6XS4BSU4YB · pith_short_16: FD6XS4BSU4YBQKVZ · pith_short_8: FD6XS4BS

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/FD6XS4BSU4YBQKVZJUSMOWTCAH \
  | 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: 28fd797032a730182ab94d24c75a6201e248b6b40921c89c37778d787d6b8a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b404eb39aefe7f73dfec68f055ed12da588b5dc70f8e1348c095f434e4266480",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-30T14:15:49Z",
    "title_canon_sha256": "946079cecdf03bc3820b846be0063f8503f2a08762e431d040d2e942220a7765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08466",
    "kind": "arxiv",
    "version": 1
  }
}