Pith Number

pith:YMTWIAS4

pith:2010:YMTWIAS4JB54H3DCWAC3DP5EFC

not attested not anchored not stored refs pending

Estimating Discrete Markov Models From Various Incomplete Data Schemes

Alberto Pasanisi, Nicolas Bousquet, Shuai Fu

arxiv:1009.1216 v2 · 2010-09-07 · stat.CO · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMTWIAS4JB54H3DCWAC3DP5EFC}

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	2026-05-18T03:56:58.316013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c32764025c487bc3ec62b005b1bfa428ab835456d47c92d649d98de349b1b7d1

Aliases

arxiv: 1009.1216 · arxiv_version: 1009.1216v2 · doi: 10.48550/arxiv.1009.1216 · pith_short_12: YMTWIAS4JB54 · pith_short_16: YMTWIAS4JB54H3DC · pith_short_8: YMTWIAS4

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/YMTWIAS4JB54H3DCWAC3DP5EFC \
  | 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: c32764025c487bc3ec62b005b1bfa428ab835456d47c92d649d98de349b1b7d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa1f226bef97f874ff8849728452b77a9b8127b9952d952e72951d97009d6be",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2010-09-07T07:49:21Z",
    "title_canon_sha256": "877af35795bf0826ff50090b128d4e1e7d78f94fd8e6f31d2bae5c0852a8065b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1216",
    "kind": "arxiv",
    "version": 2
  }
}