Pith Number

pith:NRBTFBE6

pith:2018:NRBTFBE6SHM7747MHGQS3XIKR7

not attested not anchored not stored refs pending

Optimal Bounds on the VC-dimension

Andrey Kupavskii, Monika Csikos, Nabil H. Mustafa

arxiv:1807.07924 v1 · 2018-07-20 · cs.LG · cs.CG · 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{NRBTFBE6SHM7747MHGQS3XIKR7}

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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.

Cited by

2 papers in Pith

Max-Affine Regression: Provable, Tractable, and Near-Optimal Statistical Estimation

Sparse Max-Affine Regression

Receipt and verification

First computed	2026-05-18T00:10:15.286401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c4332849e91d9fff3ec39a12ddd0a8fcd36ec1bfea20cc95372687924dee709

Aliases

arxiv: 1807.07924 · arxiv_version: 1807.07924v1 · doi: 10.48550/arxiv.1807.07924 · pith_short_12: NRBTFBE6SHM7 · pith_short_16: NRBTFBE6SHM7747M · pith_short_8: NRBTFBE6

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/NRBTFBE6SHM7747MHGQS3XIKR7 \
  | 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: 6c4332849e91d9fff3ec39a12ddd0a8fcd36ec1bfea20cc95372687924dee709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7325b073a75f7a9452eff19a3f248a06af8463075d398f62391eb021f0687cc",
    "cross_cats_sorted": [
      "cs.CG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-07-20T16:32:22Z",
    "title_canon_sha256": "2dd3579096eb01a6a2526e4d07892c515fc8b621b1b2c69b849d7c91558ef254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07924",
    "kind": "arxiv",
    "version": 1
  }
}