Pith Number

pith:AK2575BH

pith:2012:AK2575BH3NVTZT6PH24JKNFUQ4

not attested not anchored not stored refs pending

Multifractal analysis via scaling zeta functions and recursive structure of lattice strings

John A. Rock, Michel L. Lapidus, Rolando de Santiago, Scott A. Roby

arxiv:1207.6680 v3 · 2012-07-28 · math-ph · math.DS · 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{AK2575BH3NVTZT6PH24JKNFUQ4}

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	2026-05-18T03:35:28.008374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b5dff427db6b3ccfcf3eb89534b4870706b2d5ed47f492d964f1589a7f1766

Aliases

arxiv: 1207.6680 · arxiv_version: 1207.6680v3 · doi: 10.48550/arxiv.1207.6680 · pith_short_12: AK2575BH3NVT · pith_short_16: AK2575BH3NVTZT6P · pith_short_8: AK2575BH

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/AK2575BH3NVTZT6PH24JKNFUQ4 \
  | 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: 02b5dff427db6b3ccfcf3eb89534b4870706b2d5ed47f492d964f1589a7f1766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa8a2f96dd5840b643b5d642a54774c24f0379445e55691f732562ee8a0dbe8",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-28T02:47:15Z",
    "title_canon_sha256": "1646e5d5cd375bf23bd59ea92c5caf8693df9350d3c6c2fade0153755ceb339e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6680",
    "kind": "arxiv",
    "version": 3
  }
}