Pith Number

pith:JE5PGAI4

pith:2010:JE5PGAI4EHROZC5SEISZ5COKSZ

not attested not anchored not stored refs pending

On the hypercompetition numbers of hypergraphs

Boram Park, Yoshio Sano

arxiv:1005.5622 v3 · 2010-05-31 · 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{JE5PGAI4EHROZC5SEISZ5COKSZ}

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	2026-05-18T04:19:33.510659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

493af3011c21e2ec8bb222259e89ca965360f79046edac834688027113a4fceb

Aliases

arxiv: 1005.5622 · arxiv_version: 1005.5622v3 · doi: 10.48550/arxiv.1005.5622 · pith_short_12: JE5PGAI4EHRO · pith_short_16: JE5PGAI4EHROZC5S · pith_short_8: JE5PGAI4

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/JE5PGAI4EHROZC5SEISZ5COKSZ \
  | 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: 493af3011c21e2ec8bb222259e89ca965360f79046edac834688027113a4fceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1363801cf083cd0ca8d899a120226cdd24242f551781db3076c48645aa81727e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-05-31T08:51:53Z",
    "title_canon_sha256": "202c2fa38392265af49c76a02a307e49189bb9e50ca732ba6c038a467eafcd1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5622",
    "kind": "arxiv",
    "version": 3
  }
}