Pith Number

pith:LN5EGXSU

pith:2019:LN5EGXSU2ZE3HWDJMVIZKZBNHO

not attested not anchored not stored refs pending

The strong approximation theorem and computing with linear groups

Alexander Hulpke, Alla Detinko, Dane Flannery

arxiv:1905.02683 v1 · 2019-05-07 · math.GR · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LN5EGXSU2ZE3HWDJMVIZKZBNHO}

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	2026-05-17T23:46:50.747694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b7a435e54d649b3d869655195642d3b94853557688b2fef851bb6dc64dcdc49

Aliases

arxiv: 1905.02683 · arxiv_version: 1905.02683v1 · doi: 10.48550/arxiv.1905.02683 · pith_short_12: LN5EGXSU2ZE3 · pith_short_16: LN5EGXSU2ZE3HWDJ · pith_short_8: LN5EGXSU

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/LN5EGXSU2ZE3HWDJMVIZKZBNHO \
  | 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: 5b7a435e54d649b3d869655195642d3b94853557688b2fef851bb6dc64dcdc49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b62a716854d39ac862f3ac5aa6ba44c980f078a6774d8bfe250b3e9884519860",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-07T16:36:07Z",
    "title_canon_sha256": "24e65cfe287207db633f992642f6f4574e89b10934e524fec3557a545f5858f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02683",
    "kind": "arxiv",
    "version": 1
  }
}