Pith Number

pith:Q3WLDGUR

pith:2015:Q3WLDGURUZY43PCQJCD3BHTMJL

not attested not anchored not stored refs pending

Uniqueness of the extreme cases in theorems of Drisko and Erd\H{o}s-Ginzburg-Ziv

Dani Kotlar, Ran Ziv, Ron Aharoni

arxiv:1511.05775 v1 · 2015-11-18 · 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{Q3WLDGURUZY43PCQJCD3BHTMJL}

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	2026-05-18T01:26:32.733224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86ecb19a91a671cdbc504887b09e6c4ac5a3ffc50b6088e6fbf55661a2c3acd3

Aliases

arxiv: 1511.05775 · arxiv_version: 1511.05775v1 · doi: 10.48550/arxiv.1511.05775 · pith_short_12: Q3WLDGURUZY4 · pith_short_16: Q3WLDGURUZY43PCQ · pith_short_8: Q3WLDGUR

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/Q3WLDGURUZY43PCQJCD3BHTMJL \
  | 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: 86ecb19a91a671cdbc504887b09e6c4ac5a3ffc50b6088e6fbf55661a2c3acd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865329837e98418072d6253c44c0b23af0b4848f663ef1399464b8c26b92238b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-18T13:46:44Z",
    "title_canon_sha256": "de125b148a551a784811570c710b945623fa19eb64e20270fdeb5599caaffe04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05775",
    "kind": "arxiv",
    "version": 1
  }
}