Pith Number

pith:6TEF4Q7K

pith:2017:6TEF4Q7KAERK7JW7FVAY64U5F6

not attested not anchored not stored refs pending

On the VC-Dimension of Binary Codes

Nir Weinberger, Ofer Shayevitz, Sihuang Hu

arxiv:1703.01586 v2 · 2017-03-05 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TEF4Q7KAERK7JW7FVAY64U5F6}

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	2026-05-18T00:06:51.435006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c85e43ea0122afa6df2d418f729d2f843ce6244dfbdaaa1f1e9dcbca9547df

Aliases

arxiv: 1703.01586 · arxiv_version: 1703.01586v2 · doi: 10.48550/arxiv.1703.01586 · pith_short_12: 6TEF4Q7KAERK · pith_short_16: 6TEF4Q7KAERK7JW7 · pith_short_8: 6TEF4Q7K

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/6TEF4Q7KAERK7JW7FVAY64U5F6 \
  | 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: f4c85e43ea0122afa6df2d418f729d2f843ce6244dfbdaaa1f1e9dcbca9547df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba356b827469a7d34cf8d9af0229df21f1c1192a15ada6f67afe62d36086cae",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-03-05T11:44:15Z",
    "title_canon_sha256": "192a5cf259d11d00ec059093e72413f8f7d0d4fc9ae553195e1e66cd07145194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01586",
    "kind": "arxiv",
    "version": 2
  }
}