Pith Number

pith:26REY3K2

pith:2018:26REY3K2RDCPBRWNDAGACQ4ZHB

not attested not anchored not stored refs pending

A note on Engel elements in the first Grigorchuk group

Antonio Tortora, Marialaura Noce

arxiv:1802.09032 v1 · 2018-02-25 · 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{26REY3K2RDCPBRWNDAGACQ4ZHB}

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	2026-05-18T00:22:35.744809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a24c6d5a88c4f0c6cd180c014399386bc4bca807e5a38cf8c90bce521c3536

Aliases

arxiv: 1802.09032 · arxiv_version: 1802.09032v1 · doi: 10.48550/arxiv.1802.09032 · pith_short_12: 26REY3K2RDCP · pith_short_16: 26REY3K2RDCPBRWN · pith_short_8: 26REY3K2

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/26REY3K2RDCPBRWNDAGACQ4ZHB \
  | 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: d7a24c6d5a88c4f0c6cd180c014399386bc4bca807e5a38cf8c90bce521c3536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12cbf14f8d92ac3342c2a6cf950c159caad247a341ac07da297ccc03b2dec68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-25T16:17:19Z",
    "title_canon_sha256": "bc294181c02f16165f21ac8ed61eccd85088a6fdc4ddbf9bd6cc18f1840a4c7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09032",
    "kind": "arxiv",
    "version": 1
  }
}