Pith Number

pith:KBDILWR2

pith:2009:KBDILWR2Z7K5YAWTF2YW4RUCMJ

not attested not anchored not stored refs pending

Directed Simplices In Higher Order Tournaments

Imre Leader, Ta Sheng Tan

arxiv:0906.4027 v1 · 2009-06-22 · 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{KBDILWR2Z7K5YAWTF2YW4RUCMJ}

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	2026-05-18T03:02:44.636723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

504685da3acfd5dc02d32eb16e46826277544a210598e1751291d5f3ec7090e9

Aliases

arxiv: 0906.4027 · arxiv_version: 0906.4027v1 · doi: 10.48550/arxiv.0906.4027 · pith_short_12: KBDILWR2Z7K5 · pith_short_16: KBDILWR2Z7K5YAWT · pith_short_8: KBDILWR2

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/KBDILWR2Z7K5YAWTF2YW4RUCMJ \
  | 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: 504685da3acfd5dc02d32eb16e46826277544a210598e1751291d5f3ec7090e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d4ed43b94d33e6bd40e853219b803cce588d6552160b7c019db556dd57cb95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-22T14:58:41Z",
    "title_canon_sha256": "a530d7fb28ac5d97dac71189096802b045aae1437c874ae68d5cd0dda472e5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4027",
    "kind": "arxiv",
    "version": 1
  }
}