Pith Number

pith:Q6L7X2FF

pith:2015:Q6L7X2FFEM27KL3QFZWQFQJUCC

not attested not anchored not stored refs pending

A note on the clique number of complete $k$-partite graphs

Boris Brimkov

arxiv:1507.01613 v1 · 2015-07-06 · cs.DM · 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{Q6L7X2FFEM27KL3QFZWQFQJUCC}

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	2026-05-18T01:37:12.895803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8797fbe8a52335f52f702e6d02c1341082c12ec3825dd5cd0550b60c93159b2f

Aliases

arxiv: 1507.01613 · arxiv_version: 1507.01613v1 · doi: 10.48550/arxiv.1507.01613 · pith_short_12: Q6L7X2FFEM27 · pith_short_16: Q6L7X2FFEM27KL3Q · pith_short_8: Q6L7X2FF

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/Q6L7X2FFEM27KL3QFZWQFQJUCC \
  | 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: 8797fbe8a52335f52f702e6d02c1341082c12ec3825dd5cd0550b60c93159b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bbdab7efa04a43a3c716f6e090f4e51df136695f87ad2e51048b8ef705d5e49",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-07-06T20:13:00Z",
    "title_canon_sha256": "4861f7b8d0c25928ff479ec2750dc4125ec44fbd2af73fa096c5883572ead677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01613",
    "kind": "arxiv",
    "version": 1
  }
}