Pith Number

pith:K6KJYFMF

pith:2018:K6KJYFMF75HIJMSTVHK7BQDAP2

not attested not anchored not stored refs pending

Remarks on singular Cayley graphs and vanishing elements of simple groups

Alexandre Zalesski, Johannes Siemons

arxiv:1804.01204 v1 · 2018-04-04 · 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{K6KJYFMF75HIJMSTVHK7BQDAP2}

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	2026-05-18T00:19:15.757202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57949c1585ff4e84b253a9d5f0c0607e8b0bb32e0bff3bb4ae1a017d529243ad

Aliases

arxiv: 1804.01204 · arxiv_version: 1804.01204v1 · doi: 10.48550/arxiv.1804.01204 · pith_short_12: K6KJYFMF75HI · pith_short_16: K6KJYFMF75HIJMST · pith_short_8: K6KJYFMF

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/K6KJYFMF75HIJMSTVHK7BQDAP2 \
  | 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: 57949c1585ff4e84b253a9d5f0c0607e8b0bb32e0bff3bb4ae1a017d529243ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bbae2f52a27f7c2a197c8088e506663fb9b79239dc330eff526acc9d5a153e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-04T01:18:18Z",
    "title_canon_sha256": "684f9aa5cdb3e44a2e23a14b1ebe6b021ee436b5809bc9932ff7452ac380187b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01204",
    "kind": "arxiv",
    "version": 1
  }
}