Pith Number

pith:5TYYI4L2

pith:2026:5TYYI4L2FPSWLKRPFNKL2A7CP2

not attested not anchored not stored refs pending

Non-Isomorphic Optimal Cayley Graphs

Francesc Comellas

arxiv:2606.10954 v1 · 2026-06-09 · 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{5TYYI4L2FPSWLKRPFNKL2A7CP2}

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	2026-06-10T01:10:49.788077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf184717a2be565aa2f2b54bd03e27e9bf65c4ad02ee084916a53d89ce9993e

Aliases

arxiv: 2606.10954 · arxiv_version: 2606.10954v1 · doi: 10.48550/arxiv.2606.10954 · pith_short_12: 5TYYI4L2FPSW · pith_short_16: 5TYYI4L2FPSWLKRP · pith_short_8: 5TYYI4L2

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/5TYYI4L2FPSWLKRPFNKL2A7CP2 \
  | 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: ecf184717a2be565aa2f2b54bd03e27e9bf65c4ad02ee084916a53d89ce9993e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6e9177d4a63aaa987af54c36bc08aa2107592f5777cb50cd9ab1b77920a9312",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T14:56:24Z",
    "title_canon_sha256": "20e3f5e0b0fd6e3b1018e6a261077ed47ef92df57bed29634fd09e01e7775096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10954",
    "kind": "arxiv",
    "version": 1
  }
}