Pith Number

pith:TZHBHRFF

pith:2026:TZHBHRFFN5L237FZKU3DBIB4XC

not attested not anchored not stored refs pending

From rough to multifractal multidimensional volatility: A multidimensional Log S-fBM model

Emmanuel Bacry, Jean-Fran\c{c}ois Muzy, Othmane Zarhali

arxiv:2601.10517 v2 · 2026-01-15 · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZHBHRFFN5L237FZKU3DBIB4XC}

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	2026-06-29T00:14:01.756917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e4e13c4a56f57adfcb9553630a03cb8a939289e3a6cc88de65007b651586251

Aliases

arxiv: 2601.10517 · arxiv_version: 2601.10517v2 · doi: 10.48550/arxiv.2601.10517 · pith_short_12: TZHBHRFFN5L2 · pith_short_16: TZHBHRFFN5L237FZ · pith_short_8: TZHBHRFF

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/TZHBHRFFN5L237FZKU3DBIB4XC \
  | 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: 9e4e13c4a56f57adfcb9553630a03cb8a939289e3a6cc88de65007b651586251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db9921dbf1183c7a62f89cf76396f69f26dfc757cb18e5e7f2e259c079dbbdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2026-01-15T15:45:52Z",
    "title_canon_sha256": "328c2c43f1c82570dea1572b3b0f636960534829ef187fca41b8431e5f82b7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10517",
    "kind": "arxiv",
    "version": 2
  }
}