Pith Number

pith:RPOJY4HN

pith:2019:RPOJY4HNVNJIO2V5IVS55BRPW5

not attested not anchored not stored refs pending

Constructive Membership Tests in Some Infinite Matrix Groups

Alexander Hulpke

arxiv:1905.09188 v1 · 2019-05-22 · 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{RPOJY4HNVNJIO2V5IVS55BRPW5}

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	2026-05-17T23:45:21.690875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bdc9c70edab52876abd4565de862fb779c30cfda135918fea0f954645fc7238

Aliases

arxiv: 1905.09188 · arxiv_version: 1905.09188v1 · doi: 10.48550/arxiv.1905.09188 · pith_short_12: RPOJY4HNVNJI · pith_short_16: RPOJY4HNVNJIO2V5 · pith_short_8: RPOJY4HN

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/RPOJY4HNVNJIO2V5IVS55BRPW5 \
  | 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: 8bdc9c70edab52876abd4565de862fb779c30cfda135918fea0f954645fc7238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40caa49bb0abc87f89e8cd705e8ff2fdf366551f31e762787d902932afa590b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-22T15:15:14Z",
    "title_canon_sha256": "3399258d2f51955e00f367c7eeffdbfa6c6cdceb92b404fd7f838384c398806a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09188",
    "kind": "arxiv",
    "version": 1
  }
}