Pith Number

pith:6WCBZ7NT

pith:2022:6WCBZ7NTROUFZ6W7H4A453L2EO

not attested not anchored not stored refs pending

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

Vilfred Kamalappan, Wilson Peraprakash

arxiv:2211.06970 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{6WCBZ7NTROUFZ6W7H4A453L2EO}

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	2026-05-17T23:39:19.648257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5841cfdb38ba85cfadf3f01ceed7a239f8bcb199c73af936587ce88cfa99f9d

Aliases

arxiv: 2211.06970 · arxiv_version: 2211.06970v2 · doi: 10.48550/arxiv.2211.06970 · pith_short_12: 6WCBZ7NTROUF · pith_short_16: 6WCBZ7NTROUFZ6W7 · pith_short_8: 6WCBZ7NT

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/6WCBZ7NTROUFZ6W7H4A453L2EO \
  | 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: f5841cfdb38ba85cfadf3f01ceed7a239f8bcb199c73af936587ce88cfa99f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "474e2ff52ddfe9f603ea36f1e30727d1206c1fcbbdcb15df25fbd341fe9b6753",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-13T17:43:09Z",
    "title_canon_sha256": "c96ddd586bad43897169653f65968bc70996d606d3d9a2b88274f678f2d49733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.06970",
    "kind": "arxiv",
    "version": 2
  }
}