Pith Number

pith:RKCB5VFP

pith:2014:RKCB5VFPNH4KVODYJT2OEWRGBO

not attested not anchored not stored refs pending

A note on the Brush Number of Jaco Graphs, $J_n(1), n \in \Bbb N

Johan Kok

arxiv:1412.5733 v1 · 2014-12-18 · 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{RKCB5VFPNH4KVODYJT2OEWRGBO}

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	2026-05-18T02:31:01.482976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a841ed4af69f8aab8784cf4e25a260b8a0cf1eb50a0e3e9cb92c98bd31465cf

Aliases

arxiv: 1412.5733 · arxiv_version: 1412.5733v1 · doi: 10.48550/arxiv.1412.5733 · pith_short_12: RKCB5VFPNH4K · pith_short_16: RKCB5VFPNH4KVODY · pith_short_8: RKCB5VFP

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/RKCB5VFPNH4KVODYJT2OEWRGBO \
  | 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: 8a841ed4af69f8aab8784cf4e25a260b8a0cf1eb50a0e3e9cb92c98bd31465cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08eb431b007d063c5d25352ec895254987453c51d9f8f84589e2c861baa4652d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-18T06:41:21Z",
    "title_canon_sha256": "406f707b817454aa3002eb12a8e7317d2d6749788697989dce4d235c206d476f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5733",
    "kind": "arxiv",
    "version": 1
  }
}