Pith Number

pith:ZZ7GCAI4

pith:2015:ZZ7GCAI43ROBBZP23TCBCJ7GIY

not attested not anchored not stored refs pending

Tournaments, 4-uniform hypergraphs, and an exact extremal result

Jason Semeraro, Karen Gunderson

arxiv:1509.03268 v2 · 2015-09-10 · 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{ZZ7GCAI43ROBBZP23TCBCJ7GIY}

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	2026-05-18T01:00:10.101779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7e61011cdc5c10e5fadcc41127e646290d0a77cbf457e195e26d2d8ba1025d

Aliases

arxiv: 1509.03268 · arxiv_version: 1509.03268v2 · doi: 10.48550/arxiv.1509.03268 · pith_short_12: ZZ7GCAI43ROB · pith_short_16: ZZ7GCAI43ROBBZP2 · pith_short_8: ZZ7GCAI4

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/ZZ7GCAI43ROBBZP23TCBCJ7GIY \
  | 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: ce7e61011cdc5c10e5fadcc41127e646290d0a77cbf457e195e26d2d8ba1025d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0f0bd170ac602b68c76d7810888202da8da2aca7da8c08e37bea246ecefe2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-10T18:48:28Z",
    "title_canon_sha256": "684da86fa5c01a38eb01d926529d81cb6f9f457bb902ed050642774259b46ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03268",
    "kind": "arxiv",
    "version": 2
  }
}