Pith Number

pith:C42PKWDY

pith:2018:C42PKWDYSPB67GAHP5SZGL6AJG

not attested not anchored not stored refs pending

The generating graph of the abelian groups

Andrea Lucchini, Cristina Acciarri

arxiv:1810.03508 v1 · 2018-10-08 · 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{C42PKWDYSPB67GAHP5SZGL6AJG}

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	2026-05-18T00:03:51.082184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1734f5587893c3ef98077f65932fc04993d9f3e6a04c5fdcbfc7d8db3420ecc7

Aliases

arxiv: 1810.03508 · arxiv_version: 1810.03508v1 · doi: 10.48550/arxiv.1810.03508 · pith_short_12: C42PKWDYSPB6 · pith_short_16: C42PKWDYSPB67GAH · pith_short_8: C42PKWDY

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/C42PKWDYSPB67GAHP5SZGL6AJG \
  | 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: 1734f5587893c3ef98077f65932fc04993d9f3e6a04c5fdcbfc7d8db3420ecc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76e29f6e411fd1860348a611cca88a2d5b9595f2c4024a0fbe253f25628cb257",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-08T14:52:23Z",
    "title_canon_sha256": "9df262740247d8503c54db9b95d5b539812804c51d798840bd1bf7d2bb854f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03508",
    "kind": "arxiv",
    "version": 1
  }
}