Pith Number

pith:WSXX6N2J

pith:2019:WSXX6N2JFCJDHDQXIRJ3KJAVKW

not attested not anchored not stored refs pending

Embedding complete multi-partite graphs into Cartesian product of paths and cycles

A. Arul Shantrinal, Jianxi Fan, K. Jagadeesh Kumar, R. Sundara Rajan, T.M. Rajalaxmi, Weibei Fan

arxiv:1901.07717 v1 · 2019-01-23 · 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{WSXX6N2JFCJDHDQXIRJ3KJAVKW}

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	2026-05-17T23:55:41.734574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4af7f37492892338e174453b5241555b7b045cc49ed403ccae0fbb15606a6ac

Aliases

arxiv: 1901.07717 · arxiv_version: 1901.07717v1 · doi: 10.48550/arxiv.1901.07717 · pith_short_12: WSXX6N2JFCJD · pith_short_16: WSXX6N2JFCJDHDQX · pith_short_8: WSXX6N2J

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/WSXX6N2JFCJDHDQXIRJ3KJAVKW \
  | 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: b4af7f37492892338e174453b5241555b7b045cc49ed403ccae0fbb15606a6ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f859df1a0009ef43e8ae750ecad592e911944769d28844c23d96e2cd2ea8d3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-23T04:22:12Z",
    "title_canon_sha256": "f5034818f9d8c01edc586fa1877094a40bfc0864a7f0693e331b4d3b12f5f780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07717",
    "kind": "arxiv",
    "version": 1
  }
}