Pith Number

pith:LMN5IQHE

pith:2015:LMN5IQHE572SZFHRMSRFFD2WAV

not attested not anchored not stored refs pending

Loops which are semidirect products of groups

\'Agota Figula, Karl Strambach

arxiv:1506.09142 v1 · 2015-06-30 · 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{LMN5IQHE572SZFHRMSRFFD2WAV}

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	2026-05-18T01:37:33.572605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b1bd440e4eff52c94f164a2528f56054a5fc9d6c1b517c9084e880ae1793ae9

Aliases

arxiv: 1506.09142 · arxiv_version: 1506.09142v1 · doi: 10.48550/arxiv.1506.09142 · pith_short_12: LMN5IQHE572S · pith_short_16: LMN5IQHE572SZFHR · pith_short_8: LMN5IQHE

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/LMN5IQHE572SZFHRMSRFFD2WAV \
  | 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: 5b1bd440e4eff52c94f164a2528f56054a5fc9d6c1b517c9084e880ae1793ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e75b413415e918f3260b127d7707f6bb29718dae957146d432681b99fa162dfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-30T16:17:27Z",
    "title_canon_sha256": "39e336fe3ff3e2cf6139ed3ea3253baf52c630331535532228f25758aa028d6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09142",
    "kind": "arxiv",
    "version": 1
  }
}