Pith Number

pith:MFFM7UOD

pith:2018:MFFM7UODPWJMT5L7YM2F2SD32Q

not attested not anchored not stored refs pending

Engel groups with an identity

Antonio Tortora, Maria Tota, Pavel Shumyatsky

arxiv:1805.12411 v1 · 2018-05-31 · 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{MFFM7UODPWJMT5L7YM2F2SD32Q}

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	2026-05-18T00:14:30.269383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614acfd1c37d92c9f57fc3345d487bd40115273f45504e1e51cf2c0d9ed1c1ec

Aliases

arxiv: 1805.12411 · arxiv_version: 1805.12411v1 · doi: 10.48550/arxiv.1805.12411 · pith_short_12: MFFM7UODPWJM · pith_short_16: MFFM7UODPWJMT5L7 · pith_short_8: MFFM7UOD

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/MFFM7UODPWJMT5L7YM2F2SD32Q \
  | 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: 614acfd1c37d92c9f57fc3345d487bd40115273f45504e1e51cf2c0d9ed1c1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c1892d2248d1681ce734b6123289fa32f4517c88c7815208a4bd942e4a86a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-31T10:30:13Z",
    "title_canon_sha256": "b9c48029fb595367ba3d29b3b51de13dd2e8774599e1d667f30617c8f169e82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12411",
    "kind": "arxiv",
    "version": 1
  }
}