Pith Number

pith:RLTLGKQI

pith:2018:RLTLGKQIWACCWPIUO5TRZ7LJLL

not attested not anchored not stored refs pending

On solid density of Cayley digraphs on finite Abelian groups

F. Aguil\'o, M. Zaragoz\'a

arxiv:1806.03899 v1 · 2018-06-11 · 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{RLTLGKQIWACCWPIUO5TRZ7LJLL}

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	2026-05-18T00:13:41.637466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ae6b32a08b0042b3d1477671cfd695afbb0df1ab9bf93959c332cc1fe9a144e

Aliases

arxiv: 1806.03899 · arxiv_version: 1806.03899v1 · doi: 10.48550/arxiv.1806.03899 · pith_short_12: RLTLGKQIWACC · pith_short_16: RLTLGKQIWACCWPIU · pith_short_8: RLTLGKQI

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/RLTLGKQIWACCWPIUO5TRZ7LJLL \
  | 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: 8ae6b32a08b0042b3d1477671cfd695afbb0df1ab9bf93959c332cc1fe9a144e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b18ef4403b665440f880709fbc39f4f9cad9013aaf8023c9a61b7c5176ee82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-11T10:51:30Z",
    "title_canon_sha256": "12b44b2ed49b0ef1676f427d39cc962c81e09f227dcf768900aec25da569f917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03899",
    "kind": "arxiv",
    "version": 1
  }
}