Pith Number

pith:JCPFX5EG

pith:2015:JCPFX5EGGWNIK3KTQBPQMZGMQZ

not attested not anchored not stored refs pending

Hardness of Computing Clique Number and Chromatic Number For Cayley Graphs

Brendan Rooney, Chris Godsil

arxiv:1502.00965 v5 · 2015-02-03 · 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{JCPFX5EGGWNIK3KTQBPQMZGMQZ}

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	2026-05-18T01:22:01.842309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489e5bf486359a856d53805f0664cc864b2d8fac3534a89dd4c062c65733c01c

Aliases

arxiv: 1502.00965 · arxiv_version: 1502.00965v5 · doi: 10.48550/arxiv.1502.00965 · pith_short_12: JCPFX5EGGWNI · pith_short_16: JCPFX5EGGWNIK3KT · pith_short_8: JCPFX5EG

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/JCPFX5EGGWNIK3KTQBPQMZGMQZ \
  | 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: 489e5bf486359a856d53805f0664cc864b2d8fac3534a89dd4c062c65733c01c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a838b5dc37adc44f161e8b61d0b6d1f556cd198a40a061f2744c397f7294cee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-03T19:14:13Z",
    "title_canon_sha256": "8fba0e02444c924625f9035d021eb9aa9ee07464a5c3ca8ee70f48c6569d30be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00965",
    "kind": "arxiv",
    "version": 5
  }
}