Pith Number

pith:7XXT7CZR

pith:2015:7XXT7CZROZTCRUIZQ2GOMHXID2

not attested not anchored not stored refs pending

Achieving Optimal Misclassification Proportion in Stochastic Block Model

Anderson Y. Zhang, Chao Gao, Harrison H. Zhou, Zongming Ma

arxiv:1505.03772 v5 · 2015-05-14 · math.ST · cs.SI · stat.ME · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XXT7CZROZTCRUIZQ2GOMHXID2}

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	2026-05-18T01:31:10.958883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdef3f8b31766628d119868ce61ee81e83719e1b1f6ae15171e97614066ee2c8

Aliases

arxiv: 1505.03772 · arxiv_version: 1505.03772v5 · doi: 10.48550/arxiv.1505.03772 · pith_short_12: 7XXT7CZROZTC · pith_short_16: 7XXT7CZROZTCRUIZ · pith_short_8: 7XXT7CZR

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/7XXT7CZROZTCRUIZQ2GOMHXID2 \
  | 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: fdef3f8b31766628d119868ce61ee81e83719e1b1f6ae15171e97614066ee2c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce0288bb8e08aec8e249ef51697d203d8718cdf5b6a6c0be389718a16c7abd8",
    "cross_cats_sorted": [
      "cs.SI",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-05-14T15:59:00Z",
    "title_canon_sha256": "dd805a74cf5689b504a3828c73fc8cbe5e61069f79b34587f7c28b0467351c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03772",
    "kind": "arxiv",
    "version": 5
  }
}