Pith Number

pith:72SI5ZBP

pith:2013:72SI5ZBPSAS3X3R3DQVZY54ND2

not attested not anchored not stored refs pending

Upper estimates for stable dimensions of fractal sets with variable number of foldings

Bernd Stratmann, Eugen Mihailescu

arxiv:1301.1827 v1 · 2013-01-09 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72SI5ZBPSAS3X3R3DQVZY54ND2}

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	2026-05-18T03:36:55.864460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea48ee42f9025bbee3b1c2b9c778d1e86de172e7dad2eaaaf7347c474ea5830

Aliases

arxiv: 1301.1827 · arxiv_version: 1301.1827v1 · doi: 10.48550/arxiv.1301.1827 · pith_short_12: 72SI5ZBPSAS3 · pith_short_16: 72SI5ZBPSAS3X3R3 · pith_short_8: 72SI5ZBP

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/72SI5ZBPSAS3X3R3DQVZY54ND2 \
  | 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: fea48ee42f9025bbee3b1c2b9c778d1e86de172e7dad2eaaaf7347c474ea5830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab8c8ec67ff434f4062aafc40a26003294358e9ab621f90e5db9feab1311a61",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-09T12:31:02Z",
    "title_canon_sha256": "78d4443c83101da92bd292b325691903ca8dd11f682b912fe49df2157903e83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1827",
    "kind": "arxiv",
    "version": 1
  }
}