Pith Number

pith:RAB5L2ID

pith:2022:RAB5L2IDRD2GLBUBCFB2B6ZBHG

not attested not anchored not stored refs pending

$k$-Distance Magic Labeling and Long Brush Graphs

V. Vilfred Kamalappan

arxiv:2211.09666 v2 · 2022-11-13 · 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{RAB5L2IDRD2GLBUBCFB2B6ZBHG}

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	2026-07-05T05:17:30.394438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8803d5e90388f46586811143a0fb213992c3251f0885ae48e656e01ac0c08099

Aliases

arxiv: 2211.09666 · arxiv_version: 2211.09666v2 · doi: 10.48550/arxiv.2211.09666 · pith_short_12: RAB5L2IDRD2G · pith_short_16: RAB5L2IDRD2GLBUB · pith_short_8: RAB5L2ID

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/RAB5L2IDRD2GLBUBCFB2B6ZBHG \
  | 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: 8803d5e90388f46586811143a0fb213992c3251f0885ae48e656e01ac0c08099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5998c38325fe559d481dc931d7f922cf116fcbb261663b776ea1e42e7361cf3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-13T17:49:19Z",
    "title_canon_sha256": "9c7b3d63f1461ff86fce1d3972b72368aab154eeb8ff44b4a8287ae3d81572be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.09666",
    "kind": "arxiv",
    "version": 2
  }
}