Pith Number

pith:RJGYFNUP

pith:2009:RJGYFNUPDZZISNYTVBP67CX65Z

not attested not anchored not stored refs pending

A Large-Deviation Analysis of the Maximum-Likelihood Learning of Markov Tree Structures

Alan S. Willsky, Animashree Anandkumar, Lang Tong, Vincent Y. F. Tan

arxiv:0905.0940 v3 · 2009-05-07 · stat.ML · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJGYFNUPDZZISNYTVBP67CX65Z}

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	2026-05-18T00:59:11.375357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4d82b68f1e72893713a85fef8afeee64dc863b02789506ada7bfafcdc2b18c

Aliases

arxiv: 0905.0940 · arxiv_version: 0905.0940v3 · doi: 10.48550/arxiv.0905.0940 · pith_short_12: RJGYFNUPDZZI · pith_short_16: RJGYFNUPDZZISNYT · pith_short_8: RJGYFNUP

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/RJGYFNUPDZZISNYTVBP67CX65Z \
  | 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: 8a4d82b68f1e72893713a85fef8afeee64dc863b02789506ada7bfafcdc2b18c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a1f77c21beee14b291d2dcd71c7f7752687c06e7879f25b3f258e05a388850",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2009-05-07T01:40:10Z",
    "title_canon_sha256": "951c3f2e1c0f9769e973b1f74be800e020973bc105358872a5a3740be5bd21a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0940",
    "kind": "arxiv",
    "version": 3
  }
}