Pith Number

pith:NNM3WWC3

pith:2015:NNM3WWC3SW4KNQE25YUGXKZZKH

not attested not anchored not stored refs pending

Stable states of perturbed Markov chains

Stephane Le Roux, Volker Betz

arxiv:1508.05299 v2 · 2015-08-21 · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNM3WWC3SW4KNQE25YUGXKZZKH}

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	2026-05-18T01:20:55.853751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b59bb585b95b8a6c09aee286bab3951d04f10629ea322b5db8599ae6b5968ad

Aliases

arxiv: 1508.05299 · arxiv_version: 1508.05299v2 · doi: 10.48550/arxiv.1508.05299 · pith_short_12: NNM3WWC3SW4K · pith_short_16: NNM3WWC3SW4KNQE2 · pith_short_8: NNM3WWC3

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/NNM3WWC3SW4KNQE25YUGXKZZKH \
  | 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: 6b59bb585b95b8a6c09aee286bab3951d04f10629ea322b5db8599ae6b5968ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c80dff53489e6cf7b1e095e5c799bf1edd33b1777d32647df440be9ea0578f83",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-08-21T15:07:13Z",
    "title_canon_sha256": "a250d3f698693123144096be1e6c6a3baf0a129fab9a077aa867cd63395f1127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05299",
    "kind": "arxiv",
    "version": 2
  }
}