Pith Number

pith:FFWY4Z2U

pith:2015:FFWY4Z2UTMTUIYGKAXKA5AVGYO

not attested not anchored not stored refs pending

Cyclotomic graphs and perfect codes

Sanming Zhou

arxiv:1502.03272 v4 · 2015-02-11 · 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{FFWY4Z2UTMTUIYGKAXKA5AVGYO}

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	2026-05-18T00:04:47.798376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296d8e67549b274460ca05d40e82a6c388d0d60304b3492017876533a4f60f87

Aliases

arxiv: 1502.03272 · arxiv_version: 1502.03272v4 · doi: 10.48550/arxiv.1502.03272 · pith_short_12: FFWY4Z2UTMTU · pith_short_16: FFWY4Z2UTMTUIYGK · pith_short_8: FFWY4Z2U

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/FFWY4Z2UTMTUIYGKAXKA5AVGYO \
  | 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: 296d8e67549b274460ca05d40e82a6c388d0d60304b3492017876533a4f60f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98c51687c963c4894d27000ab89e65f6d0bf5d7b3ddd8b4137aefbdc1b823f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-11T11:56:46Z",
    "title_canon_sha256": "0071964a6eaf9987b9635a763a1dbf52829e074e365610a7e19dce5879e7f94e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03272",
    "kind": "arxiv",
    "version": 4
  }
}