Pith Number

pith:HOZ7SX7U

pith:2021:HOZ7SX7UTQ4UKXNYU35YW6HQPJ

not attested not anchored not stored refs pending

A note on cycle lengths in graphs of chromatic number five and six

Qingyi Huo

arxiv:2104.01382 v1 · 2021-04-03 · 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{HOZ7SX7UTQ4UKXNYU35YW6HQPJ}

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	2026-07-05T02:28:59.403707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bb3f95ff49c39455db8a6fb8b78f07a4af5d58da69a176de61cf64c0f80f528

Aliases

arxiv: 2104.01382 · arxiv_version: 2104.01382v1 · doi: 10.48550/arxiv.2104.01382 · pith_short_12: HOZ7SX7UTQ4U · pith_short_16: HOZ7SX7UTQ4UKXNY · pith_short_8: HOZ7SX7U

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/HOZ7SX7UTQ4UKXNYU35YW6HQPJ \
  | 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: 3bb3f95ff49c39455db8a6fb8b78f07a4af5d58da69a176de61cf64c0f80f528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17e5354b95dfbc90b13cba47730bf7dddb7bccc43c5836e9f2bceac7d6f0ddd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-03T11:53:56Z",
    "title_canon_sha256": "9e53f1b141de6f825360d1a15d1e720a2fc7e4051384d22b6035e9b81370e19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.01382",
    "kind": "arxiv",
    "version": 1
  }
}