Pith Number

pith:QBGASPRU

pith:2018:QBGASPRUTJ3U5XQVUUPWDUC3YT

not attested not anchored not stored refs pending

Minimum saturated families of sets

Benny Sudakov, Matija Buci\'c, Shoham Letzter, Tuan Tran

arxiv:1801.05471 v3 · 2018-01-16 · 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{QBGASPRUTJ3U5XQVUUPWDUC3YT}

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	2026-05-17T23:58:48.355715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804c093e349a774ede15a51f61d05bc4f11998dc115549b46435d94db044a9f5

Aliases

arxiv: 1801.05471 · arxiv_version: 1801.05471v3 · doi: 10.48550/arxiv.1801.05471 · pith_short_12: QBGASPRUTJ3U · pith_short_16: QBGASPRUTJ3U5XQV · pith_short_8: QBGASPRU

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/QBGASPRUTJ3U5XQVUUPWDUC3YT \
  | 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: 804c093e349a774ede15a51f61d05bc4f11998dc115549b46435d94db044a9f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05cdc18963a009a30037fe78159bb8aa8acd61c4171a78076803101e80923669",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-16T20:18:27Z",
    "title_canon_sha256": "c188f091246e01760745cfd72ed40d1a7aefb62ca5a5356d73bc393e8999cf48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05471",
    "kind": "arxiv",
    "version": 3
  }
}