Pith Number

pith:C7ZPZUVH

pith:2017:C7ZPZUVHHM7FND3MTQOQ2JO2NP

not attested not anchored not stored refs pending

On quasi-isometric nilpotent Lie groups

Manuel Amann

arxiv:1710.04542 v2 · 2017-10-12 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7ZPZUVHHM7FND3MTQOQ2JO2NP}

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	2026-05-18T00:30:11.244075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f2fcd2a73b3e568f6c9c1d0d25da6beaf45b822e74e130aab8d200bceae40f

Aliases

arxiv: 1710.04542 · arxiv_version: 1710.04542v2 · doi: 10.48550/arxiv.1710.04542 · pith_short_12: C7ZPZUVHHM7F · pith_short_16: C7ZPZUVHHM7FND3M · pith_short_8: C7ZPZUVH

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/C7ZPZUVHHM7FND3MTQOQ2JO2NP \
  | 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: 17f2fcd2a73b3e568f6c9c1d0d25da6beaf45b822e74e130aab8d200bceae40f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0f4594dd9092eb770c341ab1f705a752b3a270e8a103e27b9ae2ba58105e76",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-12T14:33:08Z",
    "title_canon_sha256": "3be7a3ac6c43abf10c052e3b543703a25555b2aee1e3dab9faebf3548ad14409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04542",
    "kind": "arxiv",
    "version": 2
  }
}