Pith Number

pith:S4WKIQ2W

pith:2023:S4WKIQ2W7ENFMKPQZL3LWRXEOI

not attested not anchored not stored refs pending

Rough volatility, path-dependent PDEs and weak rates of convergence

Alexandre Pannier, Antoine Jacquier, Ofelia Bonesini

arxiv:2304.03042 v4 · 2023-04-06 · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4WKIQ2W7ENFMKPQZL3LWRXEOI}

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	2026-05-27T01:05:31.653684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

972ca44356f91a5629f0caf6bb46e472254aa198952acb640bbe08291e92668b

Aliases

arxiv: 2304.03042 · arxiv_version: 2304.03042v4 · doi: 10.48550/arxiv.2304.03042 · pith_short_12: S4WKIQ2W7ENF · pith_short_16: S4WKIQ2W7ENFMKPQ · pith_short_8: S4WKIQ2W

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/S4WKIQ2W7ENFMKPQZL3LWRXEOI \
  | 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: 972ca44356f91a5629f0caf6bb46e472254aa198952acb640bbe08291e92668b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66983de97b2f0af39ae0eed14ee118ad965ac662cb6eecf5f6d73f1c910c2d46",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-04-06T13:00:41Z",
    "title_canon_sha256": "64feb86b4830c6def562639672dd5dd76a27946a47b68d193da5b987e5cb25a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.03042",
    "kind": "arxiv",
    "version": 4
  }
}