Pith Number

pith:O24AWLP7

pith:2015:O24AWLP7IMCR26SZSEGDVXJSVD

not attested not anchored not stored refs pending

On the chromatic number of structured Cayley graphs

Keivan Mallahi-Karai, Mohammad Bardestani

arxiv:1511.02427 v3 · 2015-11-08 · math.GR · 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{O24AWLP7IMCR26SZSEGDVXJSVD}

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	2026-05-18T00:11:24.094696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b80b2dff43051d7a59910c3add32a8d45d50ba2c709243b99b0535e1d586fe

Aliases

arxiv: 1511.02427 · arxiv_version: 1511.02427v3 · doi: 10.48550/arxiv.1511.02427 · pith_short_12: O24AWLP7IMCR · pith_short_16: O24AWLP7IMCR26SZ · pith_short_8: O24AWLP7

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/O24AWLP7IMCR26SZSEGDVXJSVD \
  | 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: 76b80b2dff43051d7a59910c3add32a8d45d50ba2c709243b99b0535e1d586fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1deb71f923cbcb9279dcf8242f04f463cbde370c5af12db7429b937b1d8a5b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-08T02:25:31Z",
    "title_canon_sha256": "605f742b355016dd81f55eb35de1a4f32e1f40117ce7ab70aa3c2a783fa8ff65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02427",
    "kind": "arxiv",
    "version": 3
  }
}