Pith Number

pith:KNQF7HPW

pith:2018:KNQF7HPWMCEB3WFW6OCUYXMUSA

not attested not anchored not stored refs pending

Metastable Markov chains

C. Landim

arxiv:1807.04144 v1 · 2018-07-11 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNQF7HPWMCEB3WFW6OCUYXMUSA}

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	2026-05-18T00:10:57.853704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53605f9df660881dd8b6f3854c5d9490183e3c6ffea33fad9d07835bf67e1a94

Aliases

arxiv: 1807.04144 · arxiv_version: 1807.04144v1 · doi: 10.48550/arxiv.1807.04144 · pith_short_12: KNQF7HPWMCEB · pith_short_16: KNQF7HPWMCEB3WFW · pith_short_8: KNQF7HPW

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/KNQF7HPWMCEB3WFW6OCUYXMUSA \
  | 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: 53605f9df660881dd8b6f3854c5d9490183e3c6ffea33fad9d07835bf67e1a94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdd123ac6a7a1c151a8847ccd59f0f8d3d2ab29d1831a62388ead8369b95eb4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-11T14:04:21Z",
    "title_canon_sha256": "0626bc76e5cc572535f72934c4e696dd40b1aac83381199754412d9dce421973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04144",
    "kind": "arxiv",
    "version": 1
  }
}