Pith Number

pith:JU2SIJVI

pith:2019:JU2SIJVI44ESCI4HVZS7O4NQ5T

not attested not anchored not stored refs pending

Metric Lie groups admitting dilations

Enrico Le Donne, Sebastiano Nicolussi Golo

arxiv:1901.02559 v2 · 2019-01-08 · math.MG · 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{JU2SIJVI44ESCI4HVZS7O4NQ5T}

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	2026-05-17T23:43:50.130224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d352426a8e709212387ae65f771b0ecedb9bef21c9e8f45d9a231e399b435a9

Aliases

arxiv: 1901.02559 · arxiv_version: 1901.02559v2 · doi: 10.48550/arxiv.1901.02559 · pith_short_12: JU2SIJVI44ES · pith_short_16: JU2SIJVI44ESCI4H · pith_short_8: JU2SIJVI

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/JU2SIJVI44ESCI4HVZS7O4NQ5T \
  | 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: 4d352426a8e709212387ae65f771b0ecedb9bef21c9e8f45d9a231e399b435a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "683624fa64851cf9d911655c8e64b7e7528009fc3511a664e2348a07b3c71e31",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-01-08T23:38:24Z",
    "title_canon_sha256": "35bb84b60e4a6cd237492f6a3c1c97de0103fe0a6c7ebeeebc8e0fde1111b934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02559",
    "kind": "arxiv",
    "version": 2
  }
}