Pith Number

pith:PQPAGDKI

pith:2011:PQPAGDKI6R4IR3LDH27UFYU2X2

not attested not anchored not stored refs pending

On the ratio of maximum and minimum degree in maximal intersecting families

Bal\'azs Patk\'os, Lale \"Ozkahya, M\'at\'e Vizer, Zolt\'an Lor\'ant Nagy

arxiv:1109.1079 v1 · 2011-09-06 · 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{PQPAGDKI6R4IR3LDH27UFYU2X2}

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	2026-05-18T02:50:50.701344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1e030d48f47888ed633ebf42e29abe94dc4acfb5d145f835c1ca1120608eab

Aliases

arxiv: 1109.1079 · arxiv_version: 1109.1079v1 · doi: 10.48550/arxiv.1109.1079 · pith_short_12: PQPAGDKI6R4I · pith_short_16: PQPAGDKI6R4IR3LD · pith_short_8: PQPAGDKI

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/PQPAGDKI6R4IR3LDH27UFYU2X2 \
  | 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: 7c1e030d48f47888ed633ebf42e29abe94dc4acfb5d145f835c1ca1120608eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9382180344a862002bc0f4cfc9915931c94531cd9b3c90cc31566653c20afb57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-06T06:24:44Z",
    "title_canon_sha256": "a1df979bb99b67578cc884713283caf276b5845cea7b562fce8b9af115c61f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1079",
    "kind": "arxiv",
    "version": 1
  }
}