Pith Number

pith:C5DIW3FG

pith:2012:C5DIW3FGDYSIIGOPWHDVATDC6W

not attested not anchored not stored refs pending

On stochastic integration for volatility modulated L\'{e}vy-driven Volterra processes

Almut E. D. Veraart, Fred Espen Benth, Jan Pedersen, Ole E. Barndorff-Nielsen

arxiv:1205.3275 v1 · 2012-05-15 · 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{C5DIW3FGDYSIIGOPWHDVATDC6W}

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	2026-05-18T03:55:36.448155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17468b6ca61e248419cfb1c7504c62f5bb9859ceda637bd0803edc2823d03ff5

Aliases

arxiv: 1205.3275 · arxiv_version: 1205.3275v1 · doi: 10.48550/arxiv.1205.3275 · pith_short_12: C5DIW3FGDYSI · pith_short_16: C5DIW3FGDYSIIGOP · pith_short_8: C5DIW3FG

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/C5DIW3FGDYSIIGOPWHDVATDC6W \
  | 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: 17468b6ca61e248419cfb1c7504c62f5bb9859ceda637bd0803edc2823d03ff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17df8d132f97c455c236d11728a6224ce2f493d7e08c28b9268167469efe3c91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-15T07:04:07Z",
    "title_canon_sha256": "f86ee03924798a8aa03459e6b5029f88fb8a5429f19f95da1d27eed00243cf6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3275",
    "kind": "arxiv",
    "version": 1
  }
}