Pith Number

pith:EU344R6P

pith:2014:EU344R6PNGGEYUB5LYBIZRHS6Y

not attested not anchored not stored refs pending

Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups

Yves Cornulier

arxiv:1403.5295 v5 · 2014-03-20 · math.RA · 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{EU344R6PNGGEYUB5LYBIZRHS6Y}

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	2026-05-18T00:56:12.694170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2537ce47cf698c4c503d5e028cc4f2f61f5130a333fe6ad37a71e981250ba325

Aliases

arxiv: 1403.5295 · arxiv_version: 1403.5295v5 · doi: 10.48550/arxiv.1403.5295 · pith_short_12: EU344R6PNGGE · pith_short_16: EU344R6PNGGEYUB5 · pith_short_8: EU344R6P

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/EU344R6PNGGEYUB5LYBIZRHS6Y \
  | 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: 2537ce47cf698c4c503d5e028cc4f2f61f5130a333fe6ad37a71e981250ba325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03222f0cdbe514296c73adb90850792c06b2058927a47c332add95e29992e424",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-03-20T20:59:56Z",
    "title_canon_sha256": "4f42a626c7a33ba2207bb205a055a25915064b9369a466da40a62fa5e52ade63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5295",
    "kind": "arxiv",
    "version": 5
  }
}