Pith Number

pith:GZGNSLLV

pith:2015:GZGNSLLVDNGHULWBFTRQ67ZCSK

not attested not anchored not stored refs pending

On covers of graphs by Cayley graphs

Agelos Georgakopoulos

arxiv:1504.00173 v1 · 2015-04-01 · math.GR · 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{GZGNSLLVDNGHULWBFTRQ67ZCSK}

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	2026-05-18T02:19:44.348979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

364cd92d751b4c7a2ec12ce30f7f2292a94336f5d43df15eb9a9305e50c0007b

Aliases

arxiv: 1504.00173 · arxiv_version: 1504.00173v1 · doi: 10.48550/arxiv.1504.00173 · pith_short_12: GZGNSLLVDNGH · pith_short_16: GZGNSLLVDNGHULWB · pith_short_8: GZGNSLLV

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/GZGNSLLVDNGHULWBFTRQ67ZCSK \
  | 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: 364cd92d751b4c7a2ec12ce30f7f2292a94336f5d43df15eb9a9305e50c0007b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d734d91f0f6a52d8b9d8484691de88bfc503dbdd114aedbdbff4016e3e72a44",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-01T10:19:06Z",
    "title_canon_sha256": "5d1d4e1a00d58fdc3b5292ccea598be1f19cdc3df73232c930dc118a6fd0d382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00173",
    "kind": "arxiv",
    "version": 1
  }
}