Pith Number

pith:GVAQNQFW

pith:2019:GVAQNQFWHTTEFJZAQH7MHVWOYE

not attested not anchored not stored refs pending

The covering lemma and $q$-analogues of extremal set theory problems

D\'aniel Gerbner

arxiv:1905.06994 v2 · 2019-05-16 · 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{GVAQNQFWHTTEFJZAQH7MHVWOYE}

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	2026-05-17T23:44:53.783820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

354106c0b63ce642a72081fec3d6cec118219b254dc4b85e6d19925de1d43600

Aliases

arxiv: 1905.06994 · arxiv_version: 1905.06994v2 · doi: 10.48550/arxiv.1905.06994 · pith_short_12: GVAQNQFWHTTE · pith_short_16: GVAQNQFWHTTEFJZA · pith_short_8: GVAQNQFW

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/GVAQNQFWHTTEFJZAQH7MHVWOYE \
  | 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: 354106c0b63ce642a72081fec3d6cec118219b254dc4b85e6d19925de1d43600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6153ad200de9725b5d03c733f96b170caac81ed0752514d64703b0701f0adbe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-16T18:54:03Z",
    "title_canon_sha256": "a64dd6c64bba9afa0f4ac5b775ce0adb69179464e4b6395c969fe17384c49104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06994",
    "kind": "arxiv",
    "version": 2
  }
}