Pith Number

pith:2MLNLBYJ

pith:2020:2MLNLBYJURZCY3CWNHN6MUGSI5

not attested not anchored not stored refs pending

Almost all optimally coloured complete graphs contain a rainbow Hamilton path

Daniela K\"uhn, Deryk Osthus, Stephen Gould, Tom Kelly

arxiv:2007.00395 v2 · 2020-07-01 · 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{2MLNLBYJURZCY3CWNHN6MUGSI5}

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	2026-07-05T04:16:34.273741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d316d58709a4722c6c5669dbe650d24747099de7e062ca8f6fee99591d407f8c

Aliases

arxiv: 2007.00395 · arxiv_version: 2007.00395v2 · doi: 10.48550/arxiv.2007.00395 · pith_short_12: 2MLNLBYJURZC · pith_short_16: 2MLNLBYJURZCY3CW · pith_short_8: 2MLNLBYJ

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/2MLNLBYJURZCY3CWNHN6MUGSI5 \
  | 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: d316d58709a4722c6c5669dbe650d24747099de7e062ca8f6fee99591d407f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7848abd8611c12cb05b65373a078de6c76d0d92ce8b45ee7878f7354476b8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-01T11:35:12Z",
    "title_canon_sha256": "5da2035ba7ae862be710892bb443692e5c303319808f75df56b40ad12d18b58f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.00395",
    "kind": "arxiv",
    "version": 2
  }
}