Pith Number

pith:5HCLZVYY

pith:2015:5HCLZVYYQS3EHWUBWGU6G2NMJN

not attested not anchored not stored refs pending

Contemplating on Brush Numbers of Mycielski Jaco Graphs, $\mu(J_n(1)), n \in \Bbb N$

Johan Kok, Sunny Joseph Kalayathankal, Susanth C.

arxiv:1501.01381 v1 · 2015-01-07 · 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{5HCLZVYYQS3EHWUBWGU6G2NMJN}

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	2026-05-18T02:29:54.376878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c4bcd71884b643da81b1a9e369ac4b4950c219094feeda73386d9fb676926e

Aliases

arxiv: 1501.01381 · arxiv_version: 1501.01381v1 · doi: 10.48550/arxiv.1501.01381 · pith_short_12: 5HCLZVYYQS3E · pith_short_16: 5HCLZVYYQS3EHWUB · pith_short_8: 5HCLZVYY

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/5HCLZVYYQS3EHWUBWGU6G2NMJN \
  | 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: e9c4bcd71884b643da81b1a9e369ac4b4950c219094feeda73386d9fb676926e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "873077771b6e0681678bb7fad13d11b4fd3934b7f277cbf373da6f0bb9a3986d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-07T07:40:28Z",
    "title_canon_sha256": "6e03699caa774f1f20c099ec528569c663ea9b93eb06ad7907952564666e7863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01381",
    "kind": "arxiv",
    "version": 1
  }
}