Pith Number

pith:HCVHCFZW

pith:2011:HCVHCFZWQKJFCCN77GCAUBANE7

not attested not anchored not stored refs pending

A Counterexample to rapid mixing of the Ge-Stefankovic Process

Leslie Ann Goldberg, Mark Jerrum

arxiv:1109.5242 v1 · 2011-09-24 · math.PR · cs.DS · 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{HCVHCFZWQKJFCCN77GCAUBANE7}

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	2026-05-18T04:04:29.815783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38aa71173682925109bff9840a040d27f2ac9e462912481363a4d34c0824857b

Aliases

arxiv: 1109.5242 · arxiv_version: 1109.5242v1 · doi: 10.48550/arxiv.1109.5242 · pith_short_12: HCVHCFZWQKJF · pith_short_16: HCVHCFZWQKJFCCN7 · pith_short_8: HCVHCFZW

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/HCVHCFZWQKJFCCN77GCAUBANE7 \
  | 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: 38aa71173682925109bff9840a040d27f2ac9e462912481363a4d34c0824857b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9d4421f42e1ce0ed0ebe7cd303ed26eff9f852ee49895ec55aa398f2fe40bd",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-24T08:14:24Z",
    "title_canon_sha256": "0709f173863bffeb90cbd9f3ef0171a3600899e386594902118f347e31dc9183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5242",
    "kind": "arxiv",
    "version": 1
  }
}