Pith Number

pith:23K5RVLY

pith:2018:23K5RVLYW734WQWGNI7G2LEGAG

not attested not anchored not stored refs pending

Orientable quadratic equations in free metabelian groups

Alexander Ushakov, Igor Lysenok

arxiv:1804.06018 v1 · 2018-04-17 · 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{23K5RVLYW734WQWGNI7G2LEGAG}

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	2026-05-18T00:18:22.025488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d5d8d578b7f7cb42c66a3e6d2c8601af9d719ad8c245a4e21151782c304311

Aliases

arxiv: 1804.06018 · arxiv_version: 1804.06018v1 · doi: 10.48550/arxiv.1804.06018 · pith_short_12: 23K5RVLYW734 · pith_short_16: 23K5RVLYW734WQWG · pith_short_8: 23K5RVLY

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/23K5RVLYW734WQWGNI7G2LEGAG \
  | 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: d6d5d8d578b7f7cb42c66a3e6d2c8601af9d719ad8c245a4e21151782c304311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "678e84154453663e15eb78c16fe1cc05560b1b7100544eb4563c0b212762749a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-17T02:43:01Z",
    "title_canon_sha256": "96531e27b75ab7446a483670032162597a0c0445e7b26c15972677db445581fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06018",
    "kind": "arxiv",
    "version": 1
  }
}