Pith Number

pith:RTAAQHLK

pith:2016:RTAAQHLKQHASYKG2LCKM6ZAG6W

not attested not anchored not stored refs pending

The Minimum Number of Edges in Uniform Hypergraphs with Property O

Bill Kay, Dwight Duffus, Vojtech Rodl

arxiv:1608.06621 v1 · 2016-08-23 · 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{RTAAQHLKQHASYKG2LCKM6ZAG6W}

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	2026-05-18T01:08:13.633295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cc0081d6a81c12c28da5894cf6406f58103147ce15c2bb4ec3e66282808782d

Aliases

arxiv: 1608.06621 · arxiv_version: 1608.06621v1 · doi: 10.48550/arxiv.1608.06621 · pith_short_12: RTAAQHLKQHAS · pith_short_16: RTAAQHLKQHASYKG2 · pith_short_8: RTAAQHLK

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/RTAAQHLKQHASYKG2LCKM6ZAG6W \
  | 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: 8cc0081d6a81c12c28da5894cf6406f58103147ce15c2bb4ec3e66282808782d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44378f05e61c98068838d423cb87ed27309367cfda206b4a339b8858ea7048d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-23T19:52:00Z",
    "title_canon_sha256": "73a2eb51351946fd57391f135ddb7d87a1648f1fd09e450f9330a4a4895a35c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06621",
    "kind": "arxiv",
    "version": 1
  }
}