Pith Number

pith:MGM6JWNL

pith:2014:MGM6JWNLSZYO7BBRYJ6BQNOGO6

not attested not anchored not stored refs pending

Bounding Embeddings of VC Classes into Maximum Classes

Benjamin I. P. Rubinstein, J. Hyam Rubinstein, Peter L. Bartlett

arxiv:1401.7388 v1 · 2014-01-29 · cs.LG · math.CO · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGM6JWNLSZYO7BBRYJ6BQNOGO6}

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	2026-05-18T03:00:25.179364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6199e4d9ab9670ef8431c27c1835c677be41ec9c65347e8e8ea50777c54b1461

Aliases

arxiv: 1401.7388 · arxiv_version: 1401.7388v1 · doi: 10.48550/arxiv.1401.7388 · pith_short_12: MGM6JWNLSZYO · pith_short_16: MGM6JWNLSZYO7BBR · pith_short_8: MGM6JWNL

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/MGM6JWNLSZYO7BBRYJ6BQNOGO6 \
  | 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: 6199e4d9ab9670ef8431c27c1835c677be41ec9c65347e8e8ea50777c54b1461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ca510bd36fcae65457fc938384f1128cdeb34fa34b2e1262c887b0e968327a",
    "cross_cats_sorted": [
      "math.CO",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2014-01-29T02:09:10Z",
    "title_canon_sha256": "658cbe6f9ec1bb4fcf5a185639bd202864c03ec6aa61aa3809ef7165490131a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7388",
    "kind": "arxiv",
    "version": 1
  }
}