Pith Number

pith:QVBV7YUH

pith:2017:QVBV7YUHAXEC4UJNWWJMTHLC4R

not attested not anchored not stored refs pending

$\text{VC}_{\ell}$-dimension and the jump to the fastest speed of a hereditary $\mathcal{L}$-property

C. Terry

arxiv:1701.00470 v1 · 2017-01-02 · math.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVBV7YUHAXEC4UJNWWJMTHLC4R}

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	2026-05-18T00:53:35.518225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85435fe28705c82e512db592c99d62e453a12701a9c8c956d5ed82faea85555a

Aliases

arxiv: 1701.00470 · arxiv_version: 1701.00470v1 · doi: 10.48550/arxiv.1701.00470 · pith_short_12: QVBV7YUHAXEC · pith_short_16: QVBV7YUHAXEC4UJN · pith_short_8: QVBV7YUH

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/QVBV7YUHAXEC4UJNWWJMTHLC4R \
  | 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: 85435fe28705c82e512db592c99d62e453a12701a9c8c956d5ed82faea85555a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f0695e33d73518ae38f821ab9aad02b246fd787377a5d2c2e82239e16e8c64",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-01-02T18:01:06Z",
    "title_canon_sha256": "c63917f196e2c0dd1208718e3f40465e385669523982ceb85aebe2a6715ce893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00470",
    "kind": "arxiv",
    "version": 1
  }
}