Pith Number

pith:TALIFYE7

pith:2012:TALIFYE7OQ2ELEMJZ2ZRPJK7MJ

not attested not anchored not stored refs pending

Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension

Darko \v{Z}ubrini\'c, John A. Rock, Michel L. Lapidus

arxiv:1207.6681 v2 · 2012-07-28 · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TALIFYE7OQ2ELEMJZ2ZRPJK7MJ}

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	2026-05-18T03:34:48.267747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981682e09f7434459189ceb317a55f62432920fd8afe77ba958886eea607ce53

Aliases

arxiv: 1207.6681 · arxiv_version: 1207.6681v2 · doi: 10.48550/arxiv.1207.6681 · pith_short_12: TALIFYE7OQ2E · pith_short_16: TALIFYE7OQ2ELEMJ · pith_short_8: TALIFYE7

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/TALIFYE7OQ2ELEMJZ2ZRPJK7MJ \
  | 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: 981682e09f7434459189ceb317a55f62432920fd8afe77ba958886eea607ce53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a32424b93c1324c82ec33336439b1e7a24102b2b117d6801f17d0740845d86d",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-28T03:01:33Z",
    "title_canon_sha256": "fc7cbd75afc36c676793b185c37f0c6702219fb8b532fa87285e9edc9e45a832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6681",
    "kind": "arxiv",
    "version": 2
  }
}