Pith Number

pith:KZ6PA6SW

pith:2019:KZ6PA6SWZ7XBIJ45UEN33JB4LG

not attested not anchored not stored refs pending

Estimating Real Log Canonical Thresholds

Toru Imai

arxiv:1906.01341 v2 · 2019-06-04 · stat.ME · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZ6PA6SWZ7XBIJ45UEN33JB4LG}

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	2026-07-04T23:59:49.516648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

567cf07a56cfee14279da11bbda43c598ee093d3a171dd258376141bffdde786

Aliases

arxiv: 1906.01341 · arxiv_version: 1906.01341v2 · doi: 10.48550/arxiv.1906.01341 · pith_short_12: KZ6PA6SWZ7XB · pith_short_16: KZ6PA6SWZ7XBIJ45 · pith_short_8: KZ6PA6SW

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/KZ6PA6SWZ7XBIJ45UEN33JB4LG \
  | 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: 567cf07a56cfee14279da11bbda43c598ee093d3a171dd258376141bffdde786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8abe08c52520d1d6fa8f45f9131598aab43400461a6cb68ec478e57e7fab2d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2019-06-04T10:59:33Z",
    "title_canon_sha256": "f155a99f0e6547f7794ca09ea2156b1a8f675a055e73a171c19d1ad53b6e8f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01341",
    "kind": "arxiv",
    "version": 2
  }
}