Pith Number

pith:I3UWCO25

pith:2009:I3UWCO25ZRCZGGKIH7MLSH6WRZ

not attested not anchored not stored refs pending

Gamma-based clustering via ordered means with application to gene-expression analysis

Lisa M. Chung, Michael A. Newton

arxiv:0907.3837 v4 · 2009-07-22 · stat.ME · math.ST · stat.CO · 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{I3UWCO25ZRCZGGKIH7MLSH6WRZ}

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	2026-05-18T03:41:12.957214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e9613b5dcc459319483fd8b91fd68e64213093e8e147b588968247fb6bc8e5

Aliases

arxiv: 0907.3837 · arxiv_version: 0907.3837v4 · doi: 10.48550/arxiv.0907.3837 · pith_short_12: I3UWCO25ZRCZ · pith_short_16: I3UWCO25ZRCZGGKI · pith_short_8: I3UWCO25

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/I3UWCO25ZRCZGGKIH7MLSH6WRZ \
  | 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: 46e9613b5dcc459319483fd8b91fd68e64213093e8e147b588968247fb6bc8e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a699724389c87585494647baac43f8a14db6411c2c069841c7ea02f4ab0cfb85",
    "cross_cats_sorted": [
      "math.ST",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2009-07-22T19:01:48Z",
    "title_canon_sha256": "bce8b5e3f1684dd4ef13bcec3c02bfd351867441d8a10bc390bf190917d0c762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3837",
    "kind": "arxiv",
    "version": 4
  }
}