Pith Number

pith:LD3F4TSO

pith:2019:LD3F4TSORA6HMD7G7ZT36H5TV2

not attested not anchored not stored refs pending

Semidirect Products and Wreath Products of Localities

Ellen Henke, Valentina Grazian

arxiv:1905.03762 v1 · 2019-05-09 · 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{LD3F4TSORA6HMD7G7ZT36H5TV2}

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	2026-05-17T23:46:36.754524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f65e4e4e883c760fe6fe67bf1fb3ae87caa3933ac40923c94ea90c1261f3ff

Aliases

arxiv: 1905.03762 · arxiv_version: 1905.03762v1 · doi: 10.48550/arxiv.1905.03762 · pith_short_12: LD3F4TSORA6H · pith_short_16: LD3F4TSORA6HMD7G · pith_short_8: LD3F4TSO

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/LD3F4TSORA6HMD7G7ZT36H5TV2 \
  | 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: 58f65e4e4e883c760fe6fe67bf1fb3ae87caa3933ac40923c94ea90c1261f3ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab3622f53ee12521a90d8b903b7757f225ea6715b318b574d256dad211e7bda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-09T17:28:22Z",
    "title_canon_sha256": "d2463ab8f2ca5900d6374f466c9278cb60c553580e8347e7988d21d8537a85f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03762",
    "kind": "arxiv",
    "version": 1
  }
}