Pith Number

pith:2TYKNG7N

pith:2019:2TYKNG7NSLHLHNNISKK6GXVN2H

not attested not anchored not stored refs pending

Estimating the Mixing Time of Ergodic Markov Chains

Aryeh Kontorovich, Geoffrey Wolfer

arxiv:1902.01224 v4 · 2019-02-01 · math.ST · cs.LG · stat.ML · 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{2TYKNG7NSLHLHNNISKK6GXVN2H}

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.

Cited by

1 paper in Pith

Metastable Dynamics of Chain-of-Thought Reasoning: Provable Benefits of Search, RL and Distillation

Receipt and verification

First computed	2026-07-05T04:48:32.412952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f0a69bed92ceb3b5a89295e35eadd1f05c4beab4d11f2d62b3cf8913bedc2c

Aliases

arxiv: 1902.01224 · arxiv_version: 1902.01224v4 · doi: 10.48550/arxiv.1902.01224 · pith_short_12: 2TYKNG7NSLHL · pith_short_16: 2TYKNG7NSLHLHNNI · pith_short_8: 2TYKNG7N

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/2TYKNG7NSLHLHNNISKK6GXVN2H \
  | 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: d4f0a69bed92ceb3b5a89295e35eadd1f05c4beab4d11f2d62b3cf8913bedc2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebbbbc73e50622cd552c94dde4a9875e12f1b8dabf500060df0d010de4b31bc1",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-02-01T08:13:58Z",
    "title_canon_sha256": "9d8e08f20e1e3fbf2d20b70e8706ea85b27badee674832cd3d9a843a56a9e905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01224",
    "kind": "arxiv",
    "version": 4
  }
}