Pith Number

pith:I57F4ZKM

pith:2015:I57F4ZKMHL5O4YHKVXF2VX2HQU

not attested not anchored not stored refs pending

On varieties of groups satisfying an Engel type identity

A. Tortora, M. Tota, P. Shumyatsky

arxiv:1503.07370 v1 · 2015-03-25 · 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{I57F4ZKMHL5O4YHKVXF2VX2HQU}

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	2026-05-18T02:20:21.272328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477e5e654c3afaee60eaadcbaadf47851a6ba52dae1afece7054fad57c607e41

Aliases

arxiv: 1503.07370 · arxiv_version: 1503.07370v1 · doi: 10.48550/arxiv.1503.07370 · pith_short_12: I57F4ZKMHL5O · pith_short_16: I57F4ZKMHL5O4YHK · pith_short_8: I57F4ZKM

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/I57F4ZKMHL5O4YHKVXF2VX2HQU \
  | 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: 477e5e654c3afaee60eaadcbaadf47851a6ba52dae1afece7054fad57c607e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38e735bb4b87e5ffb75e2cf8eb776cfcf3576d4155f1c66becc2525f9212840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-25T13:35:02Z",
    "title_canon_sha256": "e9e8b6809e6e1cb2df618b70ebf3d3646ca93807822ef8899807ddef2f77cc16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07370",
    "kind": "arxiv",
    "version": 1
  }
}