Pith Number

pith:5PP6OO4C

pith:2026:5PP6OO4CRS2662OMJUMOVON4PI

not attested not anchored not stored refs pending

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups

Bitjoka Laurent, Fokam Souop Rigobert

arxiv:2607.07920 v1 · 2026-07-08 · 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{5PP6OO4CRS2662OMJUMOVON4PI}

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	2026-07-10T00:19:04.853664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebdfe73b828cb5ef69cc4d18eab9bc7a3e3a82658d6af117ce78ba5f5ef7e0f4

Aliases

arxiv: 2607.07920 · arxiv_version: 2607.07920v1 · doi: 10.48550/arxiv.2607.07920 · pith_short_12: 5PP6OO4CRS26 · pith_short_16: 5PP6OO4CRS2662OM · pith_short_8: 5PP6OO4C

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/5PP6OO4CRS2662OMJUMOVON4PI \
  | 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: ebdfe73b828cb5ef69cc4d18eab9bc7a3e3a82658d6af117ce78ba5f5ef7e0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ccd0a77dff7549f64ea91b2c3878d8ef46b3763cfc835a29150b8a2d485bbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-08T21:07:08Z",
    "title_canon_sha256": "2346d49db9ba6746aed88435be11db4bacff80b426036e1542c05952a9b1b199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07920",
    "kind": "arxiv",
    "version": 1
  }
}