Pith Number

pith:XESBDTEZ

pith:2020:XESBDTEZNUXDQO55ONMCVAZI74

not attested not anchored not stored refs pending

Note on Sunflowers

Lutz Warnke, Suchakree Chueluecha, Tolson Bell

arxiv:2009.09327 v2 · 2020-09-20 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XESBDTEZNUXDQO55ONMCVAZI74}

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.

Cited by

1 paper in Pith

Maximal sets of a given diameter in Hamming cubes

Receipt and verification

First computed	2026-07-05T02:28:51.434548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b92411cc996d2e383bbd73582a8328ff25bdeb840af541d83a5364e9ea3c2260

Aliases

arxiv: 2009.09327 · arxiv_version: 2009.09327v2 · doi: 10.48550/arxiv.2009.09327 · pith_short_12: XESBDTEZNUXD · pith_short_16: XESBDTEZNUXDQO55 · pith_short_8: XESBDTEZ

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/XESBDTEZNUXDQO55ONMCVAZI74 \
  | 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: b92411cc996d2e383bbd73582a8328ff25bdeb840af541d83a5364e9ea3c2260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9badc5d2a095256b8e579e587af31bb961624d4742b0804977bff15bc9564b98",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-20T00:32:49Z",
    "title_canon_sha256": "5b04f470b0d33b7ddbb49be60369e111687399a0a3795e689e7b21c23716b2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09327",
    "kind": "arxiv",
    "version": 2
  }
}