Pith Number

pith:D7IQMYZT

pith:2016:D7IQMYZTA2TPY3LQ62JLJAW6ZA

not attested not anchored not stored refs pending

Computing log-likelihood and its derivatives for restricted maximum likelihood methods

Shengxin Zhu

arxiv:1608.07207 v1 · 2016-08-25 · math.NA · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7IQMYZTA2TPY3LQ62JLJAW6ZA}

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	2026-05-18T01:07:54.546795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd106633306a6fc6d70f692b482dec80857bea956dab9c6445a112e4e2e54bd

Aliases

arxiv: 1608.07207 · arxiv_version: 1608.07207v1 · doi: 10.48550/arxiv.1608.07207 · pith_short_12: D7IQMYZTA2TP · pith_short_16: D7IQMYZTA2TPY3LQ · pith_short_8: D7IQMYZT

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/D7IQMYZTA2TPY3LQ62JLJAW6ZA \
  | 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: 1fd106633306a6fc6d70f692b482dec80857bea956dab9c6445a112e4e2e54bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "192a914ceaebfaa64392f5fff0d4bb1be7a5b82540800775430ec036c4dd568e",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-25T16:20:33Z",
    "title_canon_sha256": "e3ef660324818549ae54a43eabc3b993e8ee66256af82aeccf65f18f3836130f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07207",
    "kind": "arxiv",
    "version": 1
  }
}