Pith Number

pith:GGW7GJRT

pith:2018:GGW7GJRTDKYBNZZB7OEPV76YQQ

not attested not anchored not stored refs pending

On Congruence Permutable $G$-sets

Attila Nagy

arxiv:1801.04551 v2 · 2018-01-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGW7GJRTDKYBNZZB7OEPV76YQQ}

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	2026-05-18T00:22:38.950492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31adf326331ab016e721fb88faffd8840ad22652d2173dbfe014c78c0cd52f06

Aliases

arxiv: 1801.04551 · arxiv_version: 1801.04551v2 · doi: 10.48550/arxiv.1801.04551 · pith_short_12: GGW7GJRTDKYB · pith_short_16: GGW7GJRTDKYBNZZB · pith_short_8: GGW7GJRT

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/GGW7GJRTDKYBNZZB7OEPV76YQQ \
  | 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: 31adf326331ab016e721fb88faffd8840ad22652d2173dbfe014c78c0cd52f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca9916b8361fec393d4dc94f4be24d008b8de3446df9942bb8d3895e049522b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-14T13:03:53Z",
    "title_canon_sha256": "dcd262e5ee2a6a9dab4d921a89df9997782b9a4a3c5d7252e6643eadf26828d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04551",
    "kind": "arxiv",
    "version": 2
  }
}