Pith Number

pith:XEDXA6BB

pith:2016:XEDXA6BB74EJ6HMMMDZLM7NRBS

not attested not anchored not stored refs pending

On the fastest finite Markov processes

Laurent Miclo (IMT), Vivek Borkar (TIFR)

arxiv:1608.07958 v1 · 2016-08-29 · 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{XEDXA6BB74EJ6HMMMDZLM7NRBS}

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	2026-05-18T01:07:49.512833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b907707821ff089f1d8c60f2b67db10c95b2d9c574d6345e2fadc1db18bbb3e5

Aliases

arxiv: 1608.07958 · arxiv_version: 1608.07958v1 · doi: 10.48550/arxiv.1608.07958 · pith_short_12: XEDXA6BB74EJ · pith_short_16: XEDXA6BB74EJ6HMM · pith_short_8: XEDXA6BB

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/XEDXA6BB74EJ6HMMMDZLM7NRBS \
  | 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: b907707821ff089f1d8c60f2b67db10c95b2d9c574d6345e2fadc1db18bbb3e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f90b23c46905845ed9605bad1db0c61a2d089fcb581a0b11d3dc501fca8401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-29T09:08:04Z",
    "title_canon_sha256": "48826ead94ec5bd49045601bc1887fa421d1ac16cd387d054957fda278bff24d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07958",
    "kind": "arxiv",
    "version": 1
  }
}