Pith Number

pith:UZOHVFYY

pith:2013:UZOHVFYYWPNB7CDYZI7TIEVUP6

not attested not anchored not stored refs pending

Equidistribution from Fractals

Michael Hochman, Pablo Shmerkin

arxiv:1302.5792 v3 · 2013-02-23 · math.DS · math.CA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZOHVFYYWPNB7CDYZI7TIEVUP6}

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	2026-05-18T01:27:29.066561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a65c7a9718b3da1f8878ca3f3412b47fa9dc8454c9b1bb615b2d552a8ecf1cd7

Aliases

arxiv: 1302.5792 · arxiv_version: 1302.5792v3 · doi: 10.48550/arxiv.1302.5792 · pith_short_12: UZOHVFYYWPNB · pith_short_16: UZOHVFYYWPNB7CDY · pith_short_8: UZOHVFYY

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/UZOHVFYYWPNB7CDYZI7TIEVUP6 \
  | 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: a65c7a9718b3da1f8878ca3f3412b47fa9dc8454c9b1bb615b2d552a8ecf1cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d27b9ca390e5075631fa58f50bd1f9ed9439e39d7efb7645f20be2e5573fbff",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-23T12:42:35Z",
    "title_canon_sha256": "5ef6d40b8f2f2f62097cb3a4182ea6568061a07d275611e23c54a638500e9fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5792",
    "kind": "arxiv",
    "version": 3
  }
}