Pith Number

pith:4GGUYEGE

pith:2012:4GGUYEGEOX5WBEYKCMJ2G4LLOG

not attested not anchored not stored refs pending

The asymptotics of ranking algorithms

John C. Duchi, Lester Mackey, Michael I. Jordan

arxiv:1204.1688 v3 · 2012-04-07 · math.ST · cs.LG · 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{4GGUYEGEOX5WBEYKCMJ2G4LLOG}

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	2026-05-18T03:06:13.787688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e18d4c10c475fb60930a1313a3716b71b5527e8c6908d752c1e09e3d44a283b9

Aliases

arxiv: 1204.1688 · arxiv_version: 1204.1688v3 · doi: 10.48550/arxiv.1204.1688 · pith_short_12: 4GGUYEGEOX5W · pith_short_16: 4GGUYEGEOX5WBEYK · pith_short_8: 4GGUYEGE

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/4GGUYEGEOX5WBEYKCMJ2G4LLOG \
  | 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: e18d4c10c475fb60930a1313a3716b71b5527e8c6908d752c1e09e3d44a283b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6543237fb2bb3cd63ab3ec7558303f24d82813e0fc60932337a1172be3f63a4",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-04-07T22:33:22Z",
    "title_canon_sha256": "c683c8e626f420a6744cd9e685ab76f7b8e2d836942b01254774aaf67424910a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1688",
    "kind": "arxiv",
    "version": 3
  }
}