Pith Number

pith:L4GYUW3P

pith:2020:L4GYUW3PWMPP7QGLI3WOYUQGIF

not attested not anchored not stored refs pending

Arithmeticity of groups $\mathbb Z^n\rtimes\mathbb Z$

Bena Tshishiku

arxiv:2004.00586 v1 · 2020-04-01 · 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{L4GYUW3PWMPP7QGLI3WOYUQGIF}

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	2026-07-05T00:52:12.078265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0d8a5b6fb31effc0cb46ecec5206417152088505cb5b67fe46bca52b6ababf

Aliases

arxiv: 2004.00586 · arxiv_version: 2004.00586v1 · doi: 10.48550/arxiv.2004.00586 · pith_short_12: L4GYUW3PWMPP · pith_short_16: L4GYUW3PWMPP7QGL · pith_short_8: L4GYUW3P

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/L4GYUW3PWMPP7QGLI3WOYUQGIF \
  | 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: 5f0d8a5b6fb31effc0cb46ecec5206417152088505cb5b67fe46bca52b6ababf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb50d183c23fbe63b3e4d94660cfdd9d16935d0ec87c2e473b69e5bf1d0bd00d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-04-01T17:14:27Z",
    "title_canon_sha256": "3603540946118441c72ab013cf0c90e77056b26a1e82c664a20c95d398a3d5b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.00586",
    "kind": "arxiv",
    "version": 1
  }
}