Pith Number

pith:JMB3UEF6

pith:2011:JMB3UEF6ZLF6T5MP7BRWMERFSC

not attested not anchored not stored refs pending

A polynomial bound on the mixing time of a Markov chain for sampling regular directed graphs

Catherine Greenhill

arxiv:1105.0457 v4 · 2011-05-02 · math.CO · 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{JMB3UEF6ZLF6T5MP7BRWMERFSC}

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	2026-05-18T04:10:58.610324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b03ba10becacbe9f58ff86366122590b73f8d41866299eeb15ba363f4a51c5f

Aliases

arxiv: 1105.0457 · arxiv_version: 1105.0457v4 · doi: 10.48550/arxiv.1105.0457 · pith_short_12: JMB3UEF6ZLF6 · pith_short_16: JMB3UEF6ZLF6T5MP · pith_short_8: JMB3UEF6

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/JMB3UEF6ZLF6T5MP7BRWMERFSC \
  | 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: 4b03ba10becacbe9f58ff86366122590b73f8d41866299eeb15ba363f4a51c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ac0bbb736ff2785d5d76ea8d5f842f2ed4d58dd2d914417155b4200f3e2853",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-02T23:53:07Z",
    "title_canon_sha256": "608b277457fc5a46628307f3bddabf80e16082ef5961fd35e1947bd6d0c4e172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0457",
    "kind": "arxiv",
    "version": 4
  }
}