Pith Number

pith:432MST22

pith:2019:432MST22NQI3GLNRG55GRHHYSW

not attested not anchored not stored refs pending

Empirical and Instance-Dependent Estimation of Markov Chain and Mixing Time

Geoffrey Wolfer

arxiv:1912.06845 v4 · 2019-12-14 · math.PR · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{432MST22NQI3GLNRG55GRHHYSW}

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	2026-07-05T06:49:38.562414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f4c94f5a6c11b32db1377a689cf895b5eca5c3db5e448bbc0ac4b7cdd4aadc

Aliases

arxiv: 1912.06845 · arxiv_version: 1912.06845v4 · doi: 10.48550/arxiv.1912.06845 · pith_short_12: 432MST22NQI3 · pith_short_16: 432MST22NQI3GLNR · pith_short_8: 432MST22

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/432MST22NQI3GLNRG55GRHHYSW \
  | 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: e6f4c94f5a6c11b32db1377a689cf895b5eca5c3db5e448bbc0ac4b7cdd4aadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ee13fc1749595ad526dfbd179611973e659eac3b22154b7a5fbde0771cdbd5",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-12-14T13:38:02Z",
    "title_canon_sha256": "14d3152664788acc2172373bc7a14771f0fd70dd5d0c9511b9e5102e857ae9dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.06845",
    "kind": "arxiv",
    "version": 4
  }
}