Pith Number

pith:6HPU7SSU

pith:2019:6HPU7SSUOOUY2JCV5JFSUMNRBD

not attested not anchored not stored refs pending

Quantitative convergence rates for reversible Markov chains via strong random times

Daniel C. Jerison

arxiv:1908.06459 v1 · 2019-08-18 · math.PR · math.ST · 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{6HPU7SSUOOUY2JCV5JFSUMNRBD}

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	2026-07-04T23:58:15.952832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1df4fca5473a98d2455ea4b2a31b108c1d1871621eee457f997fc7b472ab348

Aliases

arxiv: 1908.06459 · arxiv_version: 1908.06459v1 · doi: 10.48550/arxiv.1908.06459 · pith_short_12: 6HPU7SSUOOUY · pith_short_16: 6HPU7SSUOOUY2JCV · pith_short_8: 6HPU7SSU

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/6HPU7SSUOOUY2JCV5JFSUMNRBD \
  | 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: f1df4fca5473a98d2455ea4b2a31b108c1d1871621eee457f997fc7b472ab348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c1b36dc4b077d5717b28d91759b4e23b3f3c53ad4130681d64a3bf23acb18b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-18T15:13:22Z",
    "title_canon_sha256": "b4188f31e2c28769d1b3c1d3c9bf5be09b25b899d47f504d40b5d4d80f275ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06459",
    "kind": "arxiv",
    "version": 1
  }
}