Pith Number

pith:L2YGAIUV

pith:2017:L2YGAIUVBQPFS6LCN4PFGR5QBO

not attested not anchored not stored refs pending

A regularity structure for rough volatility

Benjamin Stemper, Christian Bayer, Joerg Martin, Paul Gassiat, Peter K. Friz

arxiv:1710.07481 v1 · 2017-10-20 · q-fin.PR · 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{L2YGAIUVBQPFS6LCN4PFGR5QBO}

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	2026-05-18T00:32:24.695895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eb06022950c1e5979626f1e5347b00ba381a5909b355c20874170efa4b01872

Aliases

arxiv: 1710.07481 · arxiv_version: 1710.07481v1 · doi: 10.48550/arxiv.1710.07481 · pith_short_12: L2YGAIUVBQPF · pith_short_16: L2YGAIUVBQPFS6LC · pith_short_8: L2YGAIUV

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/L2YGAIUVBQPFS6LCN4PFGR5QBO \
  | 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: 5eb06022950c1e5979626f1e5347b00ba381a5909b355c20874170efa4b01872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e79a380a417c71142ab0426b35bea1c7596f948cb7383e89c6002f503f41800a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2017-10-20T10:49:23Z",
    "title_canon_sha256": "4922c482e93b6c03cf9731abc31b8c6c609e51aa93ce40985d329d1f8f594915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07481",
    "kind": "arxiv",
    "version": 1
  }
}