Pith Number

pith:SBS2KNFC

pith:2009:SBS2KNFCMDQPPTWPH77MCKEOCL

not attested not anchored not stored refs pending

Consistency of the maximum likelihood estimator for general hidden Markov models

Eric Moulines, Jimmy Olsson, Ramon van Handel, Randal Douc

arxiv:0912.4480 v2 · 2009-12-22 · math.ST · 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{SBS2KNFCMDQPPTWPH77MCKEOCL}

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	2026-05-18T04:27:15.121961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9065a534a260e0f7cecf3ffec1288e12d65f03fd1e999ced2f874519fdbb7f63

Aliases

arxiv: 0912.4480 · arxiv_version: 0912.4480v2 · doi: 10.48550/arxiv.0912.4480 · pith_short_12: SBS2KNFCMDQP · pith_short_16: SBS2KNFCMDQPPTWP · pith_short_8: SBS2KNFC

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/SBS2KNFCMDQPPTWPH77MCKEOCL \
  | 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: 9065a534a260e0f7cecf3ffec1288e12d65f03fd1e999ced2f874519fdbb7f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bf6e9756e54108dddb87685b1607d7d3da3eea0cafc28d42b8c37461824d40",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-12-22T18:25:22Z",
    "title_canon_sha256": "8e40ae1784d5c66bc910119dcdb7fb4ae9302466f85f275335bdf12cc72c8c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4480",
    "kind": "arxiv",
    "version": 2
  }
}