Pith Number

pith:6L3YAZMY

pith:2020:6L3YAZMYDZT4DLK3S4KGHAQBUK

not attested not anchored not stored refs pending

A study on Type-2 isomorphic circulant graphs and related Abelian groups

V. Vilfred Kamalappan

arxiv:2012.11372 v11 · 2020-12-18 · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L3YAZMYDZT4DLK3S4KGHAQBUK}

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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.

Cited by

10 papers in Pith

A study on Type-2 isomorphic circulant graphs. Part 7: Isomorphism series, digraph and graph of $C_n(R)$

A study on Type-2 isomorphic circulant graphs. Part 10: Type-2 isomorphic $C_{np^3}(R)$ w.r.t. $m$ = $p$ and related groups

A study on Type-2 isomorphic circulant graphs. Part 2: Type-2 isomorphic circulant graphs of orders 16, 24, 27

A study on Type-2 isomorphic circulant graphs. PART 9: Computer programs to show Type-1 $\&$ -2 isomorphic circulant graphs

A Study on Type-2 Isomorphic Circulant Graphs: Part 8: $C_{432}(R)$, $C_{6750}(S)$ -- each has 2 types of Type-2 isomorphic circulant graphs

Receipt and verification

First computed	2026-07-05T09:40:13.174066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f78065981e67c1ad5b9714638201a29857f8a3d14fcb210132abef4e3527c8

Aliases

arxiv: 2012.11372 · arxiv_version: 2012.11372v11 · doi: 10.48550/arxiv.2012.11372 · pith_short_12: 6L3YAZMYDZT4 · pith_short_16: 6L3YAZMYDZT4DLK3 · pith_short_8: 6L3YAZMY

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/6L3YAZMYDZT4DLK3S4KGHAQBUK \
  | 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: f2f78065981e67c1ad5b9714638201a29857f8a3d14fcb210132abef4e3527c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230341ba97838ff973fe327fa93ce65249f5bb9d77136669bed941c69ae857b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-18T06:27:28Z",
    "title_canon_sha256": "0cf69c67e49377b9580b3c832810b6d9c31e65d147cdbd16fe05b6e3df04e9d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.11372",
    "kind": "arxiv",
    "version": 11
  }
}