Pith Number

pith:4B5YRPPF

pith:2017:4B5YRPPFCAVIC6VF25A652TYBA

not attested not anchored not stored refs pending

Lifting Markov Chains To Mix Faster: Limits and Opportunities

Alain Sarlette, Francesco Ticozzi, Simon Apers

arxiv:1705.08253 v1 · 2017-05-15 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4B5YRPPFCAVIC6VF25A652TYBA}

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	2026-05-18T00:43:48.924546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07b88bde5102a817aa5d741eeea78083754c027fd96d8cac181dfa1d13aa523

Aliases

arxiv: 1705.08253 · arxiv_version: 1705.08253v1 · doi: 10.48550/arxiv.1705.08253 · pith_short_12: 4B5YRPPFCAVI · pith_short_16: 4B5YRPPFCAVIC6VF · pith_short_8: 4B5YRPPF

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/4B5YRPPFCAVIC6VF25A652TYBA \
  | 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: e07b88bde5102a817aa5d741eeea78083754c027fd96d8cac181dfa1d13aa523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9695863603107b6a43c3cde6172752e96d9755624a608f5cbd236ddf55417166",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-15T14:51:46Z",
    "title_canon_sha256": "bd8cabf35812af06ec8d91382a55542c1462847737a9632b531d344c59fc9c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08253",
    "kind": "arxiv",
    "version": 1
  }
}