Pith Number

pith:J2MPSSHG

pith:2010:J2MPSSHGJFBYPCJAX2VHB2MBHL

not attested not anchored not stored refs pending

Zariski topologies on groups

Igor Protasov, Taras Banakh

arxiv:1001.0601 v1 · 2010-01-04 · math.GR · math.GN

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2MPSSHGJFBYPCJAX2VHB2MBHL}

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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.

Cited by

1 paper in Pith

A note on intrinsic topologies of groups

Receipt and verification

First computed	2026-07-04T17:18:53.362430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e98f948e64943878920beaa70e9813adc1d6a241b4ef106e7bb7dd1270d0408

Aliases

arxiv: 1001.0601 · arxiv_version: 1001.0601v1 · doi: 10.48550/arxiv.1001.0601 · pith_short_12: J2MPSSHGJFBY · pith_short_16: J2MPSSHGJFBYPCJA · pith_short_8: J2MPSSHG

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/J2MPSSHGJFBYPCJAX2VHB2MBHL \
  | 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: 4e98f948e64943878920beaa70e9813adc1d6a241b4ef106e7bb7dd1270d0408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1838a0acb76f740b0824596d9326304b228a3812f11f810d89088dea0c9ac07e",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-04T23:05:35Z",
    "title_canon_sha256": "02ede00923207d2f6e83737d40fb984034718842c8e74b5e7de92f1152d5e0b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0601",
    "kind": "arxiv",
    "version": 1
  }
}