Pith Number

pith:XXJ5K3KS

pith:2017:XXJ5K3KS25ZK5YCG6LSO3V5HSY

not attested not anchored not stored refs pending

Group Embeddings with Algorithmic Properties

Arman Darbinyan

arxiv:1708.04397 v1 · 2017-08-15 · math.GR · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXJ5K3KS25ZK5YCG6LSO3V5HSY}

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	2026-05-18T00:37:59.429239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd3d56d52d772aee046f2e4edd7a79616bf67b5596f021617a93596c4380186

Aliases

arxiv: 1708.04397 · arxiv_version: 1708.04397v1 · doi: 10.48550/arxiv.1708.04397 · pith_short_12: XXJ5K3KS25ZK · pith_short_16: XXJ5K3KS25ZK5YCG · pith_short_8: XXJ5K3KS

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/XXJ5K3KS25ZK5YCG6LSO3V5HSY \
  | 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: bdd3d56d52d772aee046f2e4edd7a79616bf67b5596f021617a93596c4380186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeb6e653fd0a6459b5d038f29ea59779591bf29b5008bf9adfe0434f0e5d8528",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-15T05:32:27Z",
    "title_canon_sha256": "b7a8e588e744ef9844549ffe60f677e826f57c80958a8ff9f9f4a8c88caf587f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04397",
    "kind": "arxiv",
    "version": 1
  }
}