Pith Number

pith:UA6ROICR

pith:2017:UA6ROICRDK75GMB7L5O2HR73EE

not attested not anchored not stored refs pending

An automaton group with undecidable order and Engel problems

Pierre Gillibert

arxiv:1710.09733 v2 · 2017-10-26 · 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{UA6ROICRDK75GMB7L5O2HR73EE}

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	2026-05-18T00:29:18.097906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03d1720511abfd3303f5f5da3c7fb2108e345eb0ac7687a381359f1250102fc

Aliases

arxiv: 1710.09733 · arxiv_version: 1710.09733v2 · doi: 10.48550/arxiv.1710.09733 · pith_short_12: UA6ROICRDK75 · pith_short_16: UA6ROICRDK75GMB7 · pith_short_8: UA6ROICR

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/UA6ROICRDK75GMB7L5O2HR73EE \
  | 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: a03d1720511abfd3303f5f5da3c7fb2108e345eb0ac7687a381359f1250102fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c117f641d3d18f29660a6fd9dc23ccab85d907fc17ff68800d574c1dbd7876e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-26T14:43:43Z",
    "title_canon_sha256": "24fef6e78bfec2baa37f9aeec138dd3f96b943054db4aa4b09b687b3d716e4c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09733",
    "kind": "arxiv",
    "version": 2
  }
}