Pith Number

pith:E4XDXRHD

pith:2015:E4XDXRHDPXZBISPYRIGZHUPISZ

not attested not anchored not stored refs pending

On the maximum number of spanning copies of an orientation in a tournament

Raphael Yuster

arxiv:1511.07784 v1 · 2015-11-24 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T01:26:03.627240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272e3bc4e37df21449f88a0d93d1e89650c85814c40622eac22740341c8ed68e

Aliases

arxiv: 1511.07784 · arxiv_version: 1511.07784v1 · doi: 10.48550/arxiv.1511.07784 · pith_short_12: E4XDXRHDPXZB · pith_short_16: E4XDXRHDPXZBISPY · pith_short_8: E4XDXRHD

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/E4XDXRHDPXZBISPYRIGZHUPISZ \
  | 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: 272e3bc4e37df21449f88a0d93d1e89650c85814c40622eac22740341c8ed68e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecddbb5a441667fc3f923178a917ccf14bebdacf38cff39c62fea637cfae3953",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-24T16:20:27Z",
    "title_canon_sha256": "f8a64ab59a323a5564abbc6ef3709e7494ea0f39b55069e9724a33aaf9b1f34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07784",
    "kind": "arxiv",
    "version": 1
  }
}