Pith Number

pith:RHLOZHAP

pith:2021:RHLOZHAPV2I3SHRVASSMWFPTWE

not attested not anchored not stored refs pending

On the Vapnik-Chervonenkis dimension of products of intervals in $\mathbb{R}^d$

Alirio G\'omez G\'omez, Pedro L. Kaufmann

arxiv:2104.07136 v1 · 2021-04-14 · math.MG · 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{RHLOZHAPV2I3SHRVASSMWFPTWE}

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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

1 paper in Pith

VC-dimension of generalized progressions in some nonabelian groups

Receipt and verification

First computed	2026-07-05T02:32:18.139288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89d6ec9c0fae91b91e3504a4cb15f3b12547621f0f03ee9a603d530e7356cc87

Aliases

arxiv: 2104.07136 · arxiv_version: 2104.07136v1 · doi: 10.48550/arxiv.2104.07136 · pith_short_12: RHLOZHAPV2I3 · pith_short_16: RHLOZHAPV2I3SHRV · pith_short_8: RHLOZHAP

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/RHLOZHAPV2I3SHRVASSMWFPTWE \
  | 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: 89d6ec9c0fae91b91e3504a4cb15f3b12547621f0f03ee9a603d530e7356cc87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258510594d3606399b0a0202e844ea15b7d59123e74faa7fd6934c6c3eb54e66",
    "cross_cats_sorted": [
      "cs.LG",
      "math.CO",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2021-04-14T21:40:15Z",
    "title_canon_sha256": "0030b1ac855ed00bfc57b948b6d57c54f1a73912dcf6144deddf3fe40a1a3708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.07136",
    "kind": "arxiv",
    "version": 1
  }
}