Pith Number

pith:GJA7R5B6

pith:2018:GJA7R5B62EFN5RUF7GBPYALBHA

not attested not anchored not stored refs pending

Cayley Digraphs Associated to Arithmetic Groups

David Covert, Jonathan Pakianathan, Ye\c{s}im Demiro\u{g}lu Karabulut

arxiv:1808.06665 v1 · 2018-08-20 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJA7R5B62EFN5RUF7GBPYALBHA}

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	2026-05-18T00:07:39.485007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3241f8f43ed10adec685f982fc016138167008822a3339a917306069002bf731

Aliases

arxiv: 1808.06665 · arxiv_version: 1808.06665v1 · doi: 10.48550/arxiv.1808.06665 · pith_short_12: GJA7R5B62EFN · pith_short_16: GJA7R5B62EFN5RUF · pith_short_8: GJA7R5B6

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/GJA7R5B62EFN5RUF7GBPYALBHA \
  | 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: 3241f8f43ed10adec685f982fc016138167008822a3339a917306069002bf731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe32d7e31796f5c75519a667c29fd3d6c3a45248d2e0f7e75c48e3e65463c1e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-20T19:30:08Z",
    "title_canon_sha256": "967a3142678b504541906373f74555b33af38f31f754b8483451e3ad86d1588b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06665",
    "kind": "arxiv",
    "version": 1
  }
}