Pith Number

pith:CSMEVE2V

pith:2015:CSMEVE2V6XUWCTI3HXPIEG5Y4I

not attested not anchored not stored refs pending

On the Partition Dimension of Circulant Graphs

Bharati Rajan, Cyriac Grigorious, Mirka Miller, Paul Manuel, Sudeep Stephen

arxiv:1507.05239 v2 · 2015-07-19 · 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{CSMEVE2V6XUWCTI3HXPIEG5Y4I}

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	2026-05-18T01:01:01.315865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14984a9355f5e9614d1b3dde821bb8e22018f0e91b48a36102365a889aa37718

Aliases

arxiv: 1507.05239 · arxiv_version: 1507.05239v2 · doi: 10.48550/arxiv.1507.05239 · pith_short_12: CSMEVE2V6XUW · pith_short_16: CSMEVE2V6XUWCTI3 · pith_short_8: CSMEVE2V

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/CSMEVE2V6XUWCTI3HXPIEG5Y4I \
  | 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: 14984a9355f5e9614d1b3dde821bb8e22018f0e91b48a36102365a889aa37718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb423d2ef320359130073a040de13b79e1a0281f518639e1920f32c5d405d50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-19T02:36:43Z",
    "title_canon_sha256": "e7b384042bb44383adc9235ad566c50cfd02fe832f78b6e9f802a791599bd64b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05239",
    "kind": "arxiv",
    "version": 2
  }
}