Pith Number

pith:IZQWNXYL

pith:2012:IZQWNXYLTCFI2FYMOAF5NW3ECU

not attested not anchored not stored refs pending

Game saturation of intersecting families

Balazs Patkos, Mate Vizer

arxiv:1211.7258 v2 · 2012-11-30 · 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{IZQWNXYLTCFI2FYMOAF5NW3ECU}

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	2026-05-18T03:03:21.217741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

466166df0b988a8d170c700bd6db64150ab1a90f66b0600837be4f7c8eabf710

Aliases

arxiv: 1211.7258 · arxiv_version: 1211.7258v2 · doi: 10.48550/arxiv.1211.7258 · pith_short_12: IZQWNXYLTCFI · pith_short_16: IZQWNXYLTCFI2FYM · pith_short_8: IZQWNXYL

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/IZQWNXYLTCFI2FYMOAF5NW3ECU \
  | 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: 466166df0b988a8d170c700bd6db64150ab1a90f66b0600837be4f7c8eabf710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66432f54bf25aefba839ae136b1f9adab51b788170bdb182b70b9e5e538fac75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-30T14:00:32Z",
    "title_canon_sha256": "7f67eb0e19c8f3cdede0f6de13956bbb4b51863c356a54407a23bc0310a916f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7258",
    "kind": "arxiv",
    "version": 2
  }
}