Pith Number

pith:3LBROL7T

pith:2017:3LBROL7TRV24H2B4XEG4M3URMW

not attested not anchored not stored refs pending

On the asymptotic variance of reversible Markov chain without cycles

Chi-Hao Wu, Ting-Li Chen

arxiv:1712.03808 v1 · 2017-12-11 · 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{3LBROL7TRV24H2B4XEG4M3URMW}

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	2026-05-18T00:24:28.617479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac3172ff38d75c3e83cb90dc66e9165ad7c833701c269d99e0a0b068f159b79

Aliases

arxiv: 1712.03808 · arxiv_version: 1712.03808v1 · doi: 10.48550/arxiv.1712.03808 · pith_short_12: 3LBROL7TRV24 · pith_short_16: 3LBROL7TRV24H2B4 · pith_short_8: 3LBROL7T

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/3LBROL7TRV24H2B4XEG4M3URMW \
  | 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: dac3172ff38d75c3e83cb90dc66e9165ad7c833701c269d99e0a0b068f159b79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8f240c0d360275d64fbe61e31873dc7c3756073c8fd336a87dfbc319fd68b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-11T15:05:49Z",
    "title_canon_sha256": "32dd6f9724a877108af2084127d48c08d8c434b0d609772cc4c44e492d9d4aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03808",
    "kind": "arxiv",
    "version": 1
  }
}