Pith Number

pith:PY2QCHKI

pith:2018:PY2QCHKI4LZGFWLRTPT3BD3ARR

not attested not anchored not stored refs pending

On the Metric-based Approximate Minimization of Markov Chains

Giorgio Bacci, Giovanni Bacci, Kim G. Larsen, Radu Mardare

arxiv:1806.00528 v1 · 2018-05-30 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PY2QCHKI4LZGFWLRTPT3BD3ARR}

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	2026-05-18T00:14:03.717998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e35011d48e2f262d9719be7b08f608c4bf25c4df0366d782571f16689807ba4

Aliases

arxiv: 1806.00528 · arxiv_version: 1806.00528v1 · doi: 10.48550/arxiv.1806.00528 · pith_short_12: PY2QCHKI4LZG · pith_short_16: PY2QCHKI4LZGFWLR · pith_short_8: PY2QCHKI

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/PY2QCHKI4LZGFWLRTPT3BD3ARR \
  | 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: 7e35011d48e2f262d9719be7b08f608c4bf25c4df0366d782571f16689807ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee7a489daedec9b4647f789e670475b6101dfe2370ccb8a9a088d1caf41e584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2018-05-30T13:09:33Z",
    "title_canon_sha256": "aab719d0bc36d64c091a12cf31d630bf2150d6459f48f8056a76f4d023394fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00528",
    "kind": "arxiv",
    "version": 1
  }
}