Pith Number

pith:YO5HIPX3

pith:2012:YO5HIPX3QNWBKTTNHFPE5QFNK3

not attested not anchored not stored refs pending

Minkowski content and fractal Euler characteristic for conformal graph directed systems

Marc Kesseb\"ohmer, Sabrina Kombrink

arxiv:1211.7333 v2 · 2012-11-30 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YO5HIPX3QNWBKTTNHFPE5QFNK3}

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	2026-05-18T00:33:00.367802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ba743efb836c154e6d395e4ec0ad56dc79fada0606490e509cf195f773d111

Aliases

arxiv: 1211.7333 · arxiv_version: 1211.7333v2 · doi: 10.48550/arxiv.1211.7333 · pith_short_12: YO5HIPX3QNWB · pith_short_16: YO5HIPX3QNWBKTTN · pith_short_8: YO5HIPX3

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/YO5HIPX3QNWBKTTNHFPE5QFNK3 \
  | 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: c3ba743efb836c154e6d395e4ec0ad56dc79fada0606490e509cf195f773d111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "462ff3734b7d98b56c56473ef2700f7e37ee5845f3b4e0e3acd627cde0ac5ec5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-30T18:31:38Z",
    "title_canon_sha256": "0ee4c271cdde65df3e962188993d24470a41a3f20aafa3aab21820f50ffd1ea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7333",
    "kind": "arxiv",
    "version": 2
  }
}