Pith Number

pith:6VWDGAX3

pith:2014:6VWDGAX3BJYUKQVWPFR4SXBGCI

not attested not anchored not stored refs pending

On the number of 5-cycles in a tournament

John Mackey, Natasha Komarov

arxiv:1410.6828 v3 · 2014-10-24 · 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{6VWDGAX3BJYUKQVWPFR4SXBGCI}

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	2026-05-18T00:52:53.404634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f56c3302fb0a714542b67963c95c26121e24809d51fe5bbfa5ab02d37c246631

Aliases

arxiv: 1410.6828 · arxiv_version: 1410.6828v3 · doi: 10.48550/arxiv.1410.6828 · pith_short_12: 6VWDGAX3BJYU · pith_short_16: 6VWDGAX3BJYUKQVW · pith_short_8: 6VWDGAX3

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/6VWDGAX3BJYUKQVWPFR4SXBGCI \
  | 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: f56c3302fb0a714542b67963c95c26121e24809d51fe5bbfa5ab02d37c246631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc3a3be3b65c7d335f68df501f8f91398f5b3a878770fc95a0680a8cea84c18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-24T20:19:22Z",
    "title_canon_sha256": "a034409865ff910a9a3b2642c555fa9cc482540ba72931c56b785a3ef159b558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6828",
    "kind": "arxiv",
    "version": 3
  }
}