Pith Number

pith:D5Z6I7ZO

pith:2014:D5Z6I7ZOB4MEZZC7FFPJSCQKJP

not attested not anchored not stored refs pending

Exceptional sets in homogeneous spaces and Hausdorff dimension

Shirali Kadyrov

arxiv:1411.0803 v1 · 2014-11-04 · 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{D5Z6I7ZOB4MEZZC7FFPJSCQKJP}

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	2026-05-18T02:38:38.208691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f73e47f2e0f184ce45f295e990a0a4bfc938c10648e2700f4ab093369f506f3

Aliases

arxiv: 1411.0803 · arxiv_version: 1411.0803v1 · doi: 10.48550/arxiv.1411.0803 · pith_short_12: D5Z6I7ZOB4ME · pith_short_16: D5Z6I7ZOB4MEZZC7 · pith_short_8: D5Z6I7ZO

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/D5Z6I7ZOB4MEZZC7FFPJSCQKJP \
  | 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: 1f73e47f2e0f184ce45f295e990a0a4bfc938c10648e2700f4ab093369f506f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36703ddc58bd0ab553769a72e0d1d86004bcecf9b66b16b8579c6cba572e9c0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-04T06:53:32Z",
    "title_canon_sha256": "e882a07360792718d587125d7ec61cae5da3c615ffc80f1bf45850bab221e41d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0803",
    "kind": "arxiv",
    "version": 1
  }
}