Pith Number

pith:YXWNOS3J

pith:2015:YXWNOS3JUD6BAFRWXDSWQG6DTY

not attested not anchored not stored refs pending

On self-affine measures with equal Hausdorff and Lyapunov dimensions

Ariel Rapaport

arxiv:1511.06893 v1 · 2015-11-21 · 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{YXWNOS3JUD6BAFRWXDSWQG6DTY}

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	2026-05-18T01:26:17.206381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ecd74b69a0fc101636b8e5681bc39e040f8afb907fe5ae51f169ac989a38ae

Aliases

arxiv: 1511.06893 · arxiv_version: 1511.06893v1 · doi: 10.48550/arxiv.1511.06893 · pith_short_12: YXWNOS3JUD6B · pith_short_16: YXWNOS3JUD6BAFRW · pith_short_8: YXWNOS3J

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/YXWNOS3JUD6BAFRWXDSWQG6DTY \
  | 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: c5ecd74b69a0fc101636b8e5681bc39e040f8afb907fe5ae51f169ac989a38ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d1263bfcdcc52711c778910fa2de9aec425282abc2bf0b966449f8bab97f98b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-21T15:52:12Z",
    "title_canon_sha256": "27b46703e972fcf3c5cd10dd3e87f1d8f8e8820381467bdcc8c86857c6140fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06893",
    "kind": "arxiv",
    "version": 1
  }
}