Pith Number

pith:3IIXHO7F

pith:2010:3IIXHO7FHEN6SV2UNAKOEHEMT4

not attested not anchored not stored refs pending

On Hausdorff dimension of the set of closed orbits for a cylindrical transformation

Krzysztof Fraczek, Mariusz Lemanczyk

arxiv:1006.4498 v1 · 2010-06-23 · 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{3IIXHO7FHEN6SV2UNAKOEHEMT4}

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	2026-05-18T02:06:43.311809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da1173bbe5391be957546814e21c8c9f21462b560627905f1ef280ac1ec14604

Aliases

arxiv: 1006.4498 · arxiv_version: 1006.4498v1 · doi: 10.48550/arxiv.1006.4498 · pith_short_12: 3IIXHO7FHEN6 · pith_short_16: 3IIXHO7FHEN6SV2U · pith_short_8: 3IIXHO7F

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/3IIXHO7FHEN6SV2UNAKOEHEMT4 \
  | 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: da1173bbe5391be957546814e21c8c9f21462b560627905f1ef280ac1ec14604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80573c8d8d66c579c686c0ba5dd7ac47c46ad924e90423ad8f7a1d3376d3470",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-06-23T12:22:19Z",
    "title_canon_sha256": "d57e389b340a03c1abfb4e0bd2fb901ae59ae93ee6d86a66807fa026e4f1e8b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4498",
    "kind": "arxiv",
    "version": 1
  }
}