Pith Number

pith:SHPU5XWY

pith:2016:SHPU5XWYZYQ4K67H2HJ7TWGD2P

not attested not anchored not stored refs pending

Products of topological groups in which all closed subgroups are separable

Arkady G. Leiderman, Mikhail G. Tkachenko

arxiv:1701.00084 v1 · 2016-12-31 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHPU5XWYZYQ4K67H2HJ7TWGD2P}

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	2026-05-18T00:53:39.454568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91df4eded8ce21c57be7d1d3f9d8c3d3d7e62663cacf1b636eaaef94a640b95f

Aliases

arxiv: 1701.00084 · arxiv_version: 1701.00084v1 · doi: 10.48550/arxiv.1701.00084 · pith_short_12: SHPU5XWYZYQ4 · pith_short_16: SHPU5XWYZYQ4K67H · pith_short_8: SHPU5XWY

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/SHPU5XWYZYQ4K67H2HJ7TWGD2P \
  | 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: 91df4eded8ce21c57be7d1d3f9d8c3d3d7e62663cacf1b636eaaef94a640b95f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad963355ab611eb2cb1e9ad958222c09a2cfaf688776ab78b7c8fa73ce516e13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-12-31T10:51:14Z",
    "title_canon_sha256": "f8fb7e4255edf7ab90fdf12a9d40201e42140cfaab2b3dcc9bd7f58a4a8e0d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00084",
    "kind": "arxiv",
    "version": 1
  }
}