Pith Number

pith:MMJ25AUM

pith:2015:MMJ25AUMK236MZZYZB7S3WIAVB

not attested not anchored not stored refs pending

Abelian Cayley digraphs with asymptotically large order for any given degree

F. Aguil\'o, M.A. Fiol, S. P\'erez

arxiv:1502.02744 v1 · 2015-02-10 · 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{MMJ25AUMK236MZZYZB7S3WIAVB}

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	2026-05-18T02:27:31.067918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6313ae828c56b7e66738c87f2dd900a868cc48c840eb6c61efb13f0961747c37

Aliases

arxiv: 1502.02744 · arxiv_version: 1502.02744v1 · doi: 10.48550/arxiv.1502.02744 · pith_short_12: MMJ25AUMK236 · pith_short_16: MMJ25AUMK236MZZY · pith_short_8: MMJ25AUM

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/MMJ25AUMK236MZZYZB7S3WIAVB \
  | 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: 6313ae828c56b7e66738c87f2dd900a868cc48c840eb6c61efb13f0961747c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1284a935d31e677d48d370cbfd6dcc41d5209f9fade9ecb9737c9f7c6855987b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-10T00:31:17Z",
    "title_canon_sha256": "b40f95dcadd7ae961ec005e3ce8a3b172287c1ee18f2ebeec9674197c85051b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02744",
    "kind": "arxiv",
    "version": 1
  }
}