Pith Number

pith:ASGS4VTS

pith:2015:ASGS4VTSPZGOPWPAMWUURQL7TM

not attested not anchored not stored refs pending

Anisotropic Fractal Media by Vector Calculus in Non-Integer Dimensional Space

Vasily E. Tarasov

arxiv:1503.02392 v1 · 2015-03-09 · 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{ASGS4VTSPZGOPWPAMWUURQL7TM}

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	2026-05-18T02:25:25.235449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

048d2e56727e4ce7d9e065a948c17f9b0c6a602b2d2a21c41b7dcecc9c44c025

Aliases

arxiv: 1503.02392 · arxiv_version: 1503.02392v1 · doi: 10.48550/arxiv.1503.02392 · pith_short_12: ASGS4VTSPZGO · pith_short_16: ASGS4VTSPZGOPWPA · pith_short_8: ASGS4VTS

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/ASGS4VTSPZGOPWPAMWUURQL7TM \
  | 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: 048d2e56727e4ce7d9e065a948c17f9b0c6a602b2d2a21c41b7dcecc9c44c025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3ef31c1261dafa0dac50bf07fc904739d2c3ef4193d36bac73c547d5d2765f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-09T08:25:06Z",
    "title_canon_sha256": "9391f60f4641aceef3d1853c3ecb0e39a66ea966eb92195103be93457dd125d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02392",
    "kind": "arxiv",
    "version": 1
  }
}