Pith Number

pith:MZHGRTDJ

pith:2018:MZHGRTDJGLVQJNFAZWFZ3U4KT4

not attested not anchored not stored refs pending

On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups

Enrico Le Donne, Katrin F\"assler

arxiv:1811.02253 v1 · 2018-11-06 · math.GR · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZHGRTDJGLVQJNFAZWFZ3U4KT4}

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	2026-05-18T00:01:24.718718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664e68cc6932eb04b4a0cd8b9dd38a9f1458781b9ca52614ff14e5b426db9b76

Aliases

arxiv: 1811.02253 · arxiv_version: 1811.02253v1 · doi: 10.48550/arxiv.1811.02253 · pith_short_12: MZHGRTDJGLVQ · pith_short_16: MZHGRTDJGLVQJNFA · pith_short_8: MZHGRTDJ

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/MZHGRTDJGLVQJNFAZWFZ3U4KT4 \
  | 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: 664e68cc6932eb04b4a0cd8b9dd38a9f1458781b9ca52614ff14e5b426db9b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485b9857376facd5fe0be620a161069b35c5fe5e6e25bafb388d72c7ecbc9c72",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-06T09:34:15Z",
    "title_canon_sha256": "e0c2831c393b8172530b453d84f3f066e299016b9e91ebd70409eadb7dabf60d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02253",
    "kind": "arxiv",
    "version": 1
  }
}