Pith Number

pith:TVDC2RS5

pith:2017:TVDC2RS5SJKRA3YWOXD2RNVZJB

not attested not anchored not stored refs pending

Coproducts of Finite Groups

Chris Hall

arxiv:1705.03884 v1 · 2017-05-10 · 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{TVDC2RS5SJKRA3YWOXD2RNVZJB}

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	2026-05-18T00:44:41.878910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d462d465d9255106f1675c7a8b6b9486678f50d5dfd13dfc42954deefc5408d

Aliases

arxiv: 1705.03884 · arxiv_version: 1705.03884v1 · doi: 10.48550/arxiv.1705.03884 · pith_short_12: TVDC2RS5SJKR · pith_short_16: TVDC2RS5SJKRA3YW · pith_short_8: TVDC2RS5

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/TVDC2RS5SJKRA3YWOXD2RNVZJB \
  | 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: 9d462d465d9255106f1675c7a8b6b9486678f50d5dfd13dfc42954deefc5408d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f7987af0f88075919941ffd40a4cdcbad0e5aa4275f553f549b65ede59293d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-10T16:52:02Z",
    "title_canon_sha256": "f5717ec294322ee978c81c12417c6fc4164e5b752c233bf6380b5c307ee48404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03884",
    "kind": "arxiv",
    "version": 1
  }
}