Pith Number

pith:6EYBSB2B

pith:2013:6EYBSB2BZCQZ3RKCQYHCIFFVOR

not attested not anchored not stored refs pending

The 3-rainbow index of a graph

Kang Yang, Lily Chen, Xueliang Li, Yan Zhao

arxiv:1307.0079 v3 · 2013-06-29 · 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{6EYBSB2BZCQZ3RKCQYHCIFFVOR}

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	2026-05-18T03:19:24.007754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f130190741c8a19dc542860e2414b5747f550c5b438a2a739f94acfcf96baf28

Aliases

arxiv: 1307.0079 · arxiv_version: 1307.0079v3 · doi: 10.48550/arxiv.1307.0079 · pith_short_12: 6EYBSB2BZCQZ · pith_short_16: 6EYBSB2BZCQZ3RKC · pith_short_8: 6EYBSB2B

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/6EYBSB2BZCQZ3RKCQYHCIFFVOR \
  | 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: f130190741c8a19dc542860e2414b5747f550c5b438a2a739f94acfcf96baf28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67701123bfc5022a5002ceaa52c4a91ccb36e63d82c5e77fde839f80e3038c89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-29T09:02:28Z",
    "title_canon_sha256": "d1929bbf8222267a16787efe2dc4bec3c9e42c0ec3400c454414e30a021e3940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0079",
    "kind": "arxiv",
    "version": 3
  }
}