Pith Number

pith:MZWGZUWD

pith:2013:MZWGZUWD3MXIWNW5UPHZVGARBR

not attested not anchored not stored refs pending

Spherical quadratic equations in free metabelian groups

Alexander Ushakov, Igor Lysenok

arxiv:1304.4898 v1 · 2013-04-17 · 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{MZWGZUWD3MXIWNW5UPHZVGARBR}

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	2026-05-18T03:27:43.221451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

666c6cd2c3db2e8b36dda3cf9a98110c407d3955154f888f42672a63aa571ed5

Aliases

arxiv: 1304.4898 · arxiv_version: 1304.4898v1 · doi: 10.48550/arxiv.1304.4898 · pith_short_12: MZWGZUWD3MXI · pith_short_16: MZWGZUWD3MXIWNW5 · pith_short_8: MZWGZUWD

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/MZWGZUWD3MXIWNW5UPHZVGARBR \
  | 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: 666c6cd2c3db2e8b36dda3cf9a98110c407d3955154f888f42672a63aa571ed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4aa77d9c0b988283d046fcebe703cd20fd89a0bc31f14a17293fa69d78643c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-17T17:59:50Z",
    "title_canon_sha256": "cfba0936e54d87dc6b92e4628b1392b12fa6c850f44c0c5bec69085d3da07314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4898",
    "kind": "arxiv",
    "version": 1
  }
}