Pith Number

pith:JPIRNSUQ

pith:2016:JPIRNSUQRYIXBCATU2L5TF5ABP

not attested not anchored not stored refs pending

Fractal Tube Formulas for Compact Sets and Relative Fractal Drums: Oscillations, Complex Dimensions and Fractality

(2) University of Zagreb), Darko \v{Z}ubrini\'c (2) ((1) University of California, Goran Radunovi\'c (2), Michel L. Lapidus (1), Riverside

arxiv:1604.08014 v5 · 2016-04-27 · math-ph · math.CV · math.MG · 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{JPIRNSUQRYIXBCATU2L5TF5ABP}

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.

Cited by

1 paper in Pith

Essential singularities of fractal zeta functions

Receipt and verification

First computed	2026-07-05T06:04:31.160820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd116ca908e11708813a697d997a00bcd79e6caa34ba97bee5d6af7e5b70448

Aliases

arxiv: 1604.08014 · arxiv_version: 1604.08014v5 · doi: 10.48550/arxiv.1604.08014 · pith_short_12: JPIRNSUQRYIX · pith_short_16: JPIRNSUQRYIXBCAT · pith_short_8: JPIRNSUQ

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/JPIRNSUQRYIXBCATU2L5TF5ABP \
  | 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: 4bd116ca908e11708813a697d997a00bcd79e6caa34ba97bee5d6af7e5b70448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5c82ad4959b61ab30ff390ca0545bc5f624966cbb3f7d8d00df0de694d7ef10",
    "cross_cats_sorted": [
      "math.CV",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-27T10:48:12Z",
    "title_canon_sha256": "04cd1a08d1e393eece9148ecc99aa3019c0070ad970c07d231c97fedd55552cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08014",
    "kind": "arxiv",
    "version": 5
  }
}