Pith Number

pith:HN5CUBRH

pith:2017:HN5CUBRH4UJ5OUTLGL3DUHHLOJ

not attested not anchored not stored refs pending

Perfect codes in circulant graphs

He Huang, Rongquan Feng, Sanming Zhou

arxiv:1703.08652 v1 · 2017-03-25 · 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{HN5CUBRH4UJ5OUTLGL3DUHHLOJ}

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	2026-05-18T00:47:55.970114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b7a2a0627e513d7526b32f63a1ceb727dbf1bd65d967a31ec47b172e2d74289

Aliases

arxiv: 1703.08652 · arxiv_version: 1703.08652v1 · doi: 10.48550/arxiv.1703.08652 · pith_short_12: HN5CUBRH4UJ5 · pith_short_16: HN5CUBRH4UJ5OUTL · pith_short_8: HN5CUBRH

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/HN5CUBRH4UJ5OUTLGL3DUHHLOJ \
  | 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: 3b7a2a0627e513d7526b32f63a1ceb727dbf1bd65d967a31ec47b172e2d74289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3303a8932f0df635974d17ed4efc17495b2232184e6e5402af13ee6f6898deef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-25T06:00:44Z",
    "title_canon_sha256": "abf86a3b6abc5685394a6a92a4ea1b1b58b376414e35785e4e23edb2216e972a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08652",
    "kind": "arxiv",
    "version": 1
  }
}