Pith Number

pith:5FLELQ6D

pith:2012:5FLELQ6DJO4HWDI4HDSOSX63PE

not attested not anchored not stored refs pending

Tight inequalities among set hitting times in Markov chains

Roberto Imbuzeiro Oliveira, Ross J. Kang, Simon Griffiths, Viresh Patel

arxiv:1209.0039 v2 · 2012-09-01 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FLELQ6DJO4HWDI4HDSOSX63PE}

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	2026-05-18T01:28:44.528117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95645c3c34bb87b0d1c38e4e95fdb793722763cf5adc1da8ea673d005b208e2

Aliases

arxiv: 1209.0039 · arxiv_version: 1209.0039v2 · doi: 10.48550/arxiv.1209.0039 · pith_short_12: 5FLELQ6DJO4H · pith_short_16: 5FLELQ6DJO4HWDI4 · pith_short_8: 5FLELQ6D

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/5FLELQ6DJO4HWDI4HDSOSX63PE \
  | 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: e95645c3c34bb87b0d1c38e4e95fdb793722763cf5adc1da8ea673d005b208e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8f450510f9df7c8b91c2df4ebafce75fce50ac259e9ac03f703313c74063e1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-01T00:42:57Z",
    "title_canon_sha256": "5862f8b211702aed2790d3b6dfbd06bafd2c68ef0c86a2109d96624edf951054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0039",
    "kind": "arxiv",
    "version": 2
  }
}