Pith Number

pith:IVSGHUNS

pith:2015:IVSGHUNS3A3OX7ONLZMVKTM65D

not attested not anchored not stored refs pending

The maximizing set of the asymptotic normalized log-likelihood for partially observed Markov chains

Francois Roueff (LTCI), Randal Douc (CITI), Tepmony Sim (LTCI)

arxiv:1509.09048 v1 · 2015-09-30 · 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{IVSGHUNS3A3OX7ONLZMVKTM65D}

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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	2026-05-18T01:31:29.250170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

456463d1b2d836ebfdcd5e59554d9ee8c9182b98334c645040ab3eed196eeb66

Aliases

arxiv: 1509.09048 · arxiv_version: 1509.09048v1 · doi: 10.48550/arxiv.1509.09048 · pith_short_12: IVSGHUNS3A3O · pith_short_16: IVSGHUNS3A3OX7ON · pith_short_8: IVSGHUNS

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/IVSGHUNS3A3OX7ONLZMVKTM65D \
  | 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: 456463d1b2d836ebfdcd5e59554d9ee8c9182b98334c645040ab3eed196eeb66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ba3e2d36e7cbd6fcc25fa8268ac868f677cc43ae38175afdcc25177fa186e1",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-09-30T07:52:53Z",
    "title_canon_sha256": "90aae3aca242d0e4686ffd2b1705213ff1fe10a21f009e46738e5d07d4d35738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09048",
    "kind": "arxiv",
    "version": 1
  }
}