Pith Number

pith:3V7RZMPP

pith:2015:3V7RZMPPJEX4QM4XB4KOW3CVEI

not attested not anchored not stored refs pending

A physically based connection between fractional calculus and fractal geometry

Mario Di Paola, Salvatore Butera

arxiv:1508.04652 v1 · 2015-08-19 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3V7RZMPPJEX4QM4XB4KOW3CVEI}

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	2026-05-18T01:35:02.154113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd7f1cb1ef492fc833970f14eb6c55220e4b63d42d56f418946fe7ab7734ba51

Aliases

arxiv: 1508.04652 · arxiv_version: 1508.04652v1 · doi: 10.48550/arxiv.1508.04652 · pith_short_12: 3V7RZMPPJEX4 · pith_short_16: 3V7RZMPPJEX4QM4X · pith_short_8: 3V7RZMPP

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/3V7RZMPPJEX4QM4XB4KOW3CVEI \
  | 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: dd7f1cb1ef492fc833970f14eb6c55220e4b63d42d56f418946fe7ab7734ba51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d66dd01983e04fa2c3c13ce105697b2ca8c991bdbe9260ab6b9fd414b3c66d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-08-19T14:15:49Z",
    "title_canon_sha256": "a7f98bcd2e29f114db49d1815c9ce6aae522f84c40dc3b29b671cc0284660d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04652",
    "kind": "arxiv",
    "version": 1
  }
}