Pith Number

pith:TAVK7SOI

pith:2001:TAVK7SOISBQMT7F6HRFXRWAC5K

not attested not anchored not stored refs pending

On multifractality and fractional derivatives

T. Matsumoto, U. Frisch

arxiv:nlin/0107057 v3 · 2001-07-25 · nlin.CD · cond-mat.stat-mech · math.PR · 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{TAVK7SOISBQMT7F6HRFXRWAC5K}

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	2026-05-18T01:38:21.766476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

982aafc9c89060c9fcbe3c4b78d802eaaa75103c0628f52c145b0a3f1588f457

Aliases

arxiv: nlin/0107057 · arxiv_version: nlin/0107057v3 · doi: 10.48550/arxiv.nlin/0107057 · pith_short_12: TAVK7SOISBQM · pith_short_16: TAVK7SOISBQMT7F6 · pith_short_8: TAVK7SOI

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/TAVK7SOISBQMT7F6HRFXRWAC5K \
  | 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: 982aafc9c89060c9fcbe3c4b78d802eaaa75103c0628f52c145b0a3f1588f457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563d498b0ae55033352f64930ba38b2583881bf43c0aa8defce34793fe17f0e0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.PR",
      "q-fin.ST"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2001-07-25T04:11:15Z",
    "title_canon_sha256": "9490fa11fa536a2f185bed6028d21ad1b0d30a7dcec60790b71447cedc0fe35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0107057",
    "kind": "arxiv",
    "version": 3
  }
}