Pith Number

pith:Y5YHVM36

pith:2026:Y5YHVM36EPYPMBGTOCO3OJ7EWL

not attested not anchored not stored refs pending

Matrix asymptotic calculus for plug-in maximum likelihood estimators in finite Markov chains

Georgios Gavrilopoulos, Irene Votsi, Samis Trevezas

arxiv:2607.17161 v1 · 2026-07-19 · 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{Y5YHVM36EPYPMBGTOCO3OJ7EWL}

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	2026-07-21T01:21:18.687462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7707ab37e23f0f604d3709db727e4b2fe36bc962207dd875fdce6a18ed9b552

Aliases

arxiv: 2607.17161 · arxiv_version: 2607.17161v1 · doi: 10.48550/arxiv.2607.17161 · pith_short_12: Y5YHVM36EPYP · pith_short_16: Y5YHVM36EPYPMBGT · pith_short_8: Y5YHVM36

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/Y5YHVM36EPYPMBGTOCO3OJ7EWL \
  | 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: c7707ab37e23f0f604d3709db727e4b2fe36bc962207dd875fdce6a18ed9b552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11e1af74f511e982753c3b02adfa1f7b1a70536ed85e2fdf34efe7ad1454af95",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-19T09:43:49Z",
    "title_canon_sha256": "80015214425150230f78c45d3e912626d79ab1198902f8707febb5412f50bc8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17161",
    "kind": "arxiv",
    "version": 1
  }
}