Pith Number

pith:E2HFBKPZ

pith:2026:E2HFBKPZ4TGUSTHMC7ZIUQP2XJ

not attested not anchored not stored refs pending

From Ergodic Theory and Probability to Fractal Geometry and Dynamics: Themes in the Work of Manfred Denker

Christian Wolf, Herold Dehling, Manuel Stadlbauer, Martin Schmoll, Suzanne Boyd

arxiv:2606.17857 v1 · 2026-06-16 · 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{E2HFBKPZ4TGUSTHMC7ZIUQP2XJ}

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	2026-06-19T16:10:41.726199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268e50a9f9e4cd494cec17f28a41faba4bc909e3e6326cb7b0db4600bc232243

Aliases

arxiv: 2606.17857 · arxiv_version: 2606.17857v1 · doi: 10.48550/arxiv.2606.17857 · pith_short_12: E2HFBKPZ4TGU · pith_short_16: E2HFBKPZ4TGUSTHM · pith_short_8: E2HFBKPZ

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/E2HFBKPZ4TGUSTHMC7ZIUQP2XJ \
  | 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: 268e50a9f9e4cd494cec17f28a41faba4bc909e3e6326cb7b0db4600bc232243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bbb897b750becb48d7e47c606fdfa96e8fdc3bbb284936977a0d00b5cf48071",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-16T12:28:46Z",
    "title_canon_sha256": "d2977d62b62d54e548951f9b7a70d5a93884c7517423bcbee243f3a2fa1e6407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17857",
    "kind": "arxiv",
    "version": 1
  }
}