Pith Number

pith:HROOQOTW

pith:2015:HROOQOTW63IBRPOXQJIHGFQ7YT

not attested not anchored not stored refs pending

A note on the Brush Numbers of Mycielski Graphs, $\mu(G)$

Johan Kok, Sunny Joseph Kalayathankal, Susanth C

arxiv:1501.03623 v1 · 2015-01-15 · 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{HROOQOTW63IBRPOXQJIHGFQ7YT}

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	2026-05-18T02:29:18.128968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c5ce83a76f6d018bdd7825073161fc4ce0d8d0ba118df70626bc0350a839537

Aliases

arxiv: 1501.03623 · arxiv_version: 1501.03623v1 · doi: 10.48550/arxiv.1501.03623 · pith_short_12: HROOQOTW63IB · pith_short_16: HROOQOTW63IBRPOX · pith_short_8: HROOQOTW

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/HROOQOTW63IBRPOXQJIHGFQ7YT \
  | 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: 3c5ce83a76f6d018bdd7825073161fc4ce0d8d0ba118df70626bc0350a839537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af54f959c5edb414adb215275e9937e3662b9ddf553220a72aba46df0b840a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-15T10:35:43Z",
    "title_canon_sha256": "a17495878d482926c5d3d0c66d70e9c9f96955b5a4a46b58eca7e685637d8eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03623",
    "kind": "arxiv",
    "version": 1
  }
}