Pith Number

pith:47OD3IZS

pith:2012:47OD3IZSDCM6XVM74M2MQPWIUO

not attested not anchored not stored refs pending

A discrete isodiametric result: the Erd\H{o}s-Ko-Rado theorem for multisets

D\'aniel Gerbner, M\'at\'e Vizer, Zolt\'an F\"uredi

arxiv:1212.1071 v2 · 2012-12-05 · 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{47OD3IZSDCM6XVM74M2MQPWIUO}

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	2026-05-18T02:56:52.147438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7dc3da3321899ebd59fe334c83ec8a3a3ec696fd6cc18d4f3ad547b9002a79f

Aliases

arxiv: 1212.1071 · arxiv_version: 1212.1071v2 · doi: 10.48550/arxiv.1212.1071 · pith_short_12: 47OD3IZSDCM6 · pith_short_16: 47OD3IZSDCM6XVM7 · pith_short_8: 47OD3IZS

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/47OD3IZSDCM6XVM74M2MQPWIUO \
  | 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: e7dc3da3321899ebd59fe334c83ec8a3a3ec696fd6cc18d4f3ad547b9002a79f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "996020fa268a8f645efea07320589d9e686b54a42675620a3ac049477c53e1f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-05T16:01:02Z",
    "title_canon_sha256": "c489487b7f0da9e095353ee578110e01ea0b2fb800c28dde70033bd034b9a3b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1071",
    "kind": "arxiv",
    "version": 2
  }
}