Pith Number

pith:RRDB2CLT

pith:2013:RRDB2CLTY253JSUC62Y342ODPU

not attested not anchored not stored refs pending

Graphs with $4$-rainbow index $3$ and $n-1$

Ingo Schiermeyer, Kang Yang, Xueliang Li, Yan Zhao

arxiv:1312.3069 v2 · 2013-12-11 · 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{RRDB2CLTY253JSUC62Y342ODPU}

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	2026-05-18T03:04:06.088038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c461d0973c6bbb4ca82f6b1be69c37d17fa8ad81fc221ee4a81306b7c02111a

Aliases

arxiv: 1312.3069 · arxiv_version: 1312.3069v2 · doi: 10.48550/arxiv.1312.3069 · pith_short_12: RRDB2CLTY253 · pith_short_16: RRDB2CLTY253JSUC · pith_short_8: RRDB2CLT

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/RRDB2CLTY253JSUC62Y342ODPU \
  | 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: 8c461d0973c6bbb4ca82f6b1be69c37d17fa8ad81fc221ee4a81306b7c02111a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a9bbd5a838caaf28341aaa2d4f3b719c3c7975a57738b6acc90e206ef524f4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-11T08:19:39Z",
    "title_canon_sha256": "fff2f597e4fad16dd84ab55b024d562fead247e581b76f68aceeb6d9ab1e6c3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3069",
    "kind": "arxiv",
    "version": 2
  }
}