Pith Number

pith:LJDMKADB

pith:2017:LJDMKADBZ3H4234EWOYLWTP6SW

not attested not anchored not stored refs pending

Groups in which each subgroup is commensurable with a normal subgroup

Carlo Casolo, Silvana Rinauro, Ulderico Dardano

arxiv:1705.02360 v1 · 2017-05-05 · 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{LJDMKADBZ3H4234EWOYLWTP6SW}

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	2026-05-18T00:44:56.813398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a46c50061cecfcd6f84b3b0bb4dfe95ae1a298b212d7f28407fe53627550d4b

Aliases

arxiv: 1705.02360 · arxiv_version: 1705.02360v1 · doi: 10.48550/arxiv.1705.02360 · pith_short_12: LJDMKADBZ3H4 · pith_short_16: LJDMKADBZ3H4234E · pith_short_8: LJDMKADB

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/LJDMKADBZ3H4234EWOYLWTP6SW \
  | 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: 5a46c50061cecfcd6f84b3b0bb4dfe95ae1a298b212d7f28407fe53627550d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b076afaa1ce8076ed335d3dcbc67cf8063d3e7f3ba976be953c571e7a7f3634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-05T18:34:07Z",
    "title_canon_sha256": "4bb12ad43be4c1bb195588bc05e524eced630024e944ddebca860e89e3925584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02360",
    "kind": "arxiv",
    "version": 1
  }
}