Pith Number

pith:RU5OCWDR

pith:2022:RU5OCWDRE46GIOXPZFPKZ4LB2R

not attested not anchored not stored refs pending

Rainbow cycles in properly edge-colored graphs

Hong Liu, Jaehoon Kim, Joonkyung Lee, Tuan Tran

arxiv:2211.03291 v1 · 2022-11-07 · 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{RU5OCWDRE46GIOXPZFPKZ4LB2R}

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	2026-07-05T05:13:47.145728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d3ae15871273c643aefc95eacf161d446488c873d8cc8dee01c49ddd5298cd6

Aliases

arxiv: 2211.03291 · arxiv_version: 2211.03291v1 · doi: 10.48550/arxiv.2211.03291 · pith_short_12: RU5OCWDRE46G · pith_short_16: RU5OCWDRE46GIOXP · pith_short_8: RU5OCWDR

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/RU5OCWDRE46GIOXPZFPKZ4LB2R \
  | 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: 8d3ae15871273c643aefc95eacf161d446488c873d8cc8dee01c49ddd5298cd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306e68183788d56cb52d9cdedcbef8ea943cfee213827f30113ccdc14c016064",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-07T04:03:24Z",
    "title_canon_sha256": "132f94d15012def544aa3075fbed2fa4ae91880544e87d73aab8eee29db4b84a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.03291",
    "kind": "arxiv",
    "version": 1
  }
}