Pith Number

pith:KCVP2I4I

pith:2010:KCVP2I4IMW73JPMHX7H3CEYDGQ

not attested not anchored not stored refs pending

Perfect state transfer in cubelike graphs

Chris Godsil, Wang-Chi Cheung

arxiv:1010.4721 v2 · 2010-10-22 · math.CO · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCVP2I4IMW73JPMHX7H3CEYDGQ}

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	2026-05-18T04:19:12.293675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50aafd238865bfb4bd87bfcfb11303341e5bed9a6d75be75582879255dac0c70

Aliases

arxiv: 1010.4721 · arxiv_version: 1010.4721v2 · doi: 10.48550/arxiv.1010.4721 · pith_short_12: KCVP2I4IMW73 · pith_short_16: KCVP2I4IMW73JPMH · pith_short_8: KCVP2I4I

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/KCVP2I4IMW73JPMHX7H3CEYDGQ \
  | 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: 50aafd238865bfb4bd87bfcfb11303341e5bed9a6d75be75582879255dac0c70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5d78f3e8a011e3b3ba7ee1e7d2f92fc41a2d2f564ddeb52b4c4ac8ba9daca4",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-22T14:22:52Z",
    "title_canon_sha256": "20c214153e3e7a8c3146d57dd17007d20a9df0eed826e415de01ca14bb1def89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4721",
    "kind": "arxiv",
    "version": 2
  }
}