Pith Number

pith:Y3RYSQ77

pith:2016:Y3RYSQ77LQ6UA626RR3LZKGI6B

not attested not anchored not stored refs pending

On distance sets, box-counting and Ahlfors-regular sets

Pablo Shmerkin

arxiv:1605.00187 v3 · 2016-05-01 · math.CA · math.CO · 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{Y3RYSQ77LQ6UA626RR3LZKGI6B}

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	2026-05-18T00:44:09.693818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e38943ff5c3d407b5e8c76bca8c8f046d0f538385ba3307222cada1c8191f0

Aliases

arxiv: 1605.00187 · arxiv_version: 1605.00187v3 · doi: 10.48550/arxiv.1605.00187 · pith_short_12: Y3RYSQ77LQ6U · pith_short_16: Y3RYSQ77LQ6UA626 · pith_short_8: Y3RYSQ77

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/Y3RYSQ77LQ6UA626RR3LZKGI6B \
  | 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: c6e38943ff5c3d407b5e8c76bca8c8f046d0f538385ba3307222cada1c8191f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a845f56eb90a972f365c989cf4310e35b06db58e2177fdbaa50fc379c7e72a08",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-01T00:06:57Z",
    "title_canon_sha256": "b09737774e3fdc209eaa322ed9832b6674590b27448c99674571c79962e508c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00187",
    "kind": "arxiv",
    "version": 3
  }
}