Pith Number

pith:5NBULBTU

pith:2017:5NBULBTUYIITTMJM2VMZPKBJLZ

not attested not anchored not stored refs pending

On Piercing Numbers of Families Satisfying the $(p,q)_r$ Property

Chaya Keller, Shakhar Smorodinsky

arxiv:1703.06338 v1 · 2017-03-18 · 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{5NBULBTUYIITTMJM2VMZPKBJLZ}

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	2026-05-18T00:48:23.199554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb43458674c21139b12cd55997a8295e74836976398bf11061a75dc4ba96da44

Aliases

arxiv: 1703.06338 · arxiv_version: 1703.06338v1 · doi: 10.48550/arxiv.1703.06338 · pith_short_12: 5NBULBTUYIIT · pith_short_16: 5NBULBTUYIITTMJM · pith_short_8: 5NBULBTU

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/5NBULBTUYIITTMJM2VMZPKBJLZ \
  | 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: eb43458674c21139b12cd55997a8295e74836976398bf11061a75dc4ba96da44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c810391146154df1140e8fdbaaa20b73e4d06c40e8e48b2a888d88e1eaa5da5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-18T19:06:33Z",
    "title_canon_sha256": "5a28f26f6ce8ad7bf02c0bd25d0b7c2abf97fa1e5943c5d0706d7f85fd943be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06338",
    "kind": "arxiv",
    "version": 1
  }
}