Pith Number

pith:CQN6SAW2

pith:2010:CQN6SAW22JWR6AVRMFAPJ7QRBM

not attested not anchored not stored refs pending

A Markov basis for two-state toric homogeneous Markov chain model without initial parameters

Akimichi Takemura, Hisayuki Hara

arxiv:1005.1717 v2 · 2010-05-11 · 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{CQN6SAW22JWR6AVRMFAPJ7QRBM}

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	2026-05-18T02:24:08.507141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141be902dad26d1f02b16140f4fe110b1aa4836b720b701bdcce581d7fa8d90f

Aliases

arxiv: 1005.1717 · arxiv_version: 1005.1717v2 · doi: 10.48550/arxiv.1005.1717 · pith_short_12: CQN6SAW22JWR · pith_short_16: CQN6SAW22JWR6AVR · pith_short_8: CQN6SAW2

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/CQN6SAW22JWR6AVRMFAPJ7QRBM \
  | 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: 141be902dad26d1f02b16140f4fe110b1aa4836b720b701bdcce581d7fa8d90f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915c4a3912802c1458072a94a9580b6e7c54a5bfd5951136c57e6a5a9f00578f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-05-11T05:39:23Z",
    "title_canon_sha256": "7abc4c74beeb7e84c555f678643ffdd903a21764801aae2d1909e3fc8b57a704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1717",
    "kind": "arxiv",
    "version": 2
  }
}