Pith Number

pith:UKPPEAE2

pith:2016:UKPPEAE2BXNVNEO5FRPYJ5SFZ6

not attested not anchored not stored refs pending

Generalized Cluster Trees and Singular Measures

Yen-Chi Chen

arxiv:1611.02762 v3 · 2016-11-08 · math.ST · stat.ME · 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{UKPPEAE2BXNVNEO5FRPYJ5SFZ6}

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	2026-05-18T00:11:00.671767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29ef2009a0ddb5691dd2c5f84f645cfa2b4af2c38997fa51325b4cf5ecd1b53

Aliases

arxiv: 1611.02762 · arxiv_version: 1611.02762v3 · doi: 10.48550/arxiv.1611.02762 · pith_short_12: UKPPEAE2BXNV · pith_short_16: UKPPEAE2BXNVNEO5 · pith_short_8: UKPPEAE2

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/UKPPEAE2BXNVNEO5FRPYJ5SFZ6 \
  | 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: a29ef2009a0ddb5691dd2c5f84f645cfa2b4af2c38997fa51325b4cf5ecd1b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b72d0e75f84dab258669234227ddaec09bd640fff1662824e730568ac1fc90b",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-08T23:08:02Z",
    "title_canon_sha256": "9bde82304018bedbee574520e055abc23403fcbf8c4cc53b978cc221213d6df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02762",
    "kind": "arxiv",
    "version": 3
  }
}