Pith Number

pith:UMSWYATI

pith:2018:UMSWYATIXYL7QMQHC7OYKLBEXD

not attested not anchored not stored refs pending

Avoiding long Berge cycles II, exact bounds for all $n$

Alexandr Kostochka, Ruth Luo, Zoltan Furedi

arxiv:1807.06119 v1 · 2018-07-16 · 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	2026-05-18T00:10:33.972099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3256c0268be17f8320717dd852c24b8eea0b88c395ded81749f1f48a4440bcb

Aliases

arxiv: 1807.06119 · arxiv_version: 1807.06119v1 · doi: 10.48550/arxiv.1807.06119 · pith_short_12: UMSWYATIXYL7 · pith_short_16: UMSWYATIXYL7QMQH · pith_short_8: UMSWYATI

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/UMSWYATIXYL7QMQHC7OYKLBEXD \
  | 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: a3256c0268be17f8320717dd852c24b8eea0b88c395ded81749f1f48a4440bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5b2d848e0d3aaee282d52cde1eaab4cd48d07e8af96356072ce2c41c83328d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-16T21:25:22Z",
    "title_canon_sha256": "14964ce13469eb2a5097b4d35370d1f441a25a9ec57e6f38bebcbc04ddeab947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06119",
    "kind": "arxiv",
    "version": 1
  }
}