Pith Number

pith:3YMCPBZI

pith:2016:3YMCPBZIZMY7P3M72ZSCBRFR6U

not attested not anchored not stored refs pending

Isometries of nilpotent metric groups

Enrico Le Donne, Ville Kivioja

arxiv:1601.08172 v1 · 2016-01-29 · math.MG · math.DG · 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{3YMCPBZIZMY7P3M72ZSCBRFR6U}

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	2026-05-18T01:21:40.184997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de18278728cb31f7ed9fd66420c4b1f52f8d1c9b0a5817d3e51ebae7eec3a684

Aliases

arxiv: 1601.08172 · arxiv_version: 1601.08172v1 · doi: 10.48550/arxiv.1601.08172 · pith_short_12: 3YMCPBZIZMY7 · pith_short_16: 3YMCPBZIZMY7P3M7 · pith_short_8: 3YMCPBZI

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/3YMCPBZIZMY7P3M72ZSCBRFR6U \
  | 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: de18278728cb31f7ed9fd66420c4b1f52f8d1c9b0a5817d3e51ebae7eec3a684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f7c301efc8d4906a1bf3714414cd73979a65a7290a43a5e55c4ecd81f7ed03",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-01-29T16:09:43Z",
    "title_canon_sha256": "260500ca3d9c2a5360ec00ea9758179698bc147195a8eea33b0b28be3d12ce4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08172",
    "kind": "arxiv",
    "version": 1
  }
}