Pith Number

pith:6QL5VNUH

pith:2015:6QL5VNUHJAS24LKZI2OAKVGQ6J

not attested not anchored not stored refs pending

Vector Calculus in Non-Integer Dimensional Space and its Applications to Fractal Media

Vasily E. Tarasov

arxiv:1503.02022 v1 · 2015-03-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QL5VNUHJAS24LKZI2OAKVGQ6J}

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	2026-05-18T02:25:27.055608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f417dab6874825ae2d59469c0554d0f244ab5876df131c3e7488e77ee0dc8460

Aliases

arxiv: 1503.02022 · arxiv_version: 1503.02022v1 · doi: 10.48550/arxiv.1503.02022 · pith_short_12: 6QL5VNUHJAS2 · pith_short_16: 6QL5VNUHJAS24LKZ · pith_short_8: 6QL5VNUH

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/6QL5VNUHJAS24LKZI2OAKVGQ6J \
  | 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: f417dab6874825ae2d59469c0554d0f244ab5876df131c3e7488e77ee0dc8460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25590d5f30d46eab87aa60f7772b8d2ff86fc8a3b79156cd50fd0b1a5d67bec2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-06T17:35:30Z",
    "title_canon_sha256": "78c4f46e1630ab8058406df1586a262851d99503bb360f0b14b45dab105607af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02022",
    "kind": "arxiv",
    "version": 1
  }
}