Pith Number

pith:LKVNMTBD

pith:2017:LKVNMTBDP6OA37KHMQKCI7WLBK

not attested not anchored not stored refs pending

Multiplicatively closed Markov models must form Lie algebras

Jeremy G Sumner

arxiv:1704.01418 v2 · 2017-04-04 · math.GR · math.ST · q-bio.PE · q-bio.QM · 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{LKVNMTBDP6OA37KHMQKCI7WLBK}

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	2026-05-18T00:36:14.119076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aaad64c237f9c0dfd476414247ecb0aa9be68ea7436cd585f7b30f6c24f1c82

Aliases

arxiv: 1704.01418 · arxiv_version: 1704.01418v2 · doi: 10.48550/arxiv.1704.01418 · pith_short_12: LKVNMTBDP6OA · pith_short_16: LKVNMTBDP6OA37KH · pith_short_8: LKVNMTBD

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/LKVNMTBDP6OA37KHMQKCI7WLBK \
  | 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: 5aaad64c237f9c0dfd476414247ecb0aa9be68ea7436cd585f7b30f6c24f1c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "679b076a913e699bed247fd00357d00498d26b566df56544b423700bc149b1b8",
    "cross_cats_sorted": [
      "math.ST",
      "q-bio.PE",
      "q-bio.QM",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-04T02:24:09Z",
    "title_canon_sha256": "55d5117e0a6610fac6900237c25a1ced749fe08c8ccda99a0ad4ff03a55e9b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01418",
    "kind": "arxiv",
    "version": 2
  }
}