Pith Number

pith:GF4MSY4W

pith:2011:GF4MSY4WRB7NUBRYIJHLVDROXW

not attested not anchored not stored refs pending

Clustering of time-course gene expression profiles using normal mixture models with AR(1) random effects

G.J. McLachlan, K. Wang, S.K. Ng

arxiv:1109.4764 v1 · 2011-09-22 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GF4MSY4WRB7NUBRYIJHLVDROXW}

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	2026-05-18T04:12:32.974695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3178c96396887eda0638424eba8e2ebd92410b811276fabd5f83043a953a2eed

Aliases

arxiv: 1109.4764 · arxiv_version: 1109.4764v1 · doi: 10.48550/arxiv.1109.4764 · pith_short_12: GF4MSY4WRB7N · pith_short_16: GF4MSY4WRB7NUBRY · pith_short_8: GF4MSY4W

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/GF4MSY4WRB7NUBRYIJHLVDROXW \
  | 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: 3178c96396887eda0638424eba8e2ebd92410b811276fabd5f83043a953a2eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1edc769d5057b5af78ef8e2f378195b74f3ff0580b9d13a8114f17f5a34f893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-09-22T10:44:51Z",
    "title_canon_sha256": "02dc7c92c3bbf0ae4dc65dfa80fecc2588f64d68d13d6a75e854c42ae2264e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4764",
    "kind": "arxiv",
    "version": 1
  }
}