Pith Number

pith:4GUSIT5N

pith:2017:4GUSIT5NEZVZW5AFI3FJMHGKD7

not attested not anchored not stored refs pending

Cayley properties of the line graphs induced by consecutive layers of the hypercube

S.Morteza Mirafzal

arxiv:1711.02701 v4 · 2017-11-07 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GUSIT5NEZVZW5AFI3FJMHGKD7}

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	2026-05-17T23:47:49.185298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a9244fad266b9b740546ca961cca1fe92f7693367e689f3c5820aa447ec1bf

Aliases

arxiv: 1711.02701 · arxiv_version: 1711.02701v4 · doi: 10.48550/arxiv.1711.02701 · pith_short_12: 4GUSIT5NEZVZ · pith_short_16: 4GUSIT5NEZVZW5AF · pith_short_8: 4GUSIT5N

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/4GUSIT5NEZVZW5AFI3FJMHGKD7 \
  | 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: e1a9244fad266b9b740546ca961cca1fe92f7693367e689f3c5820aa447ec1bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf323b42fbe147ae46452db763652698b81e59e2834ba93b0b161886ca945e36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-07T19:51:56Z",
    "title_canon_sha256": "61b8e29718172e732e637f477e86e44eace8f2fc54666d217a419d552154415a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02701",
    "kind": "arxiv",
    "version": 4
  }
}