Pith Number

pith:SKNX2MRA

pith:2011:SKNX2MRAAHZAHSXKHNN4DI4KS5

not attested not anchored not stored refs pending

Metrization criteria for compact groups in terms of their dense subgroups

Dikran Dikranjan, Dmitri Shakhmatov

arxiv:1102.5077 v2 · 2011-02-24 · math.GN · 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{SKNX2MRAAHZAHSXKHNN4DI4KS5}

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	2026-05-18T01:18:23.804002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

929b7d322001f203caea3b5bc1a38a97769e3d6c402cbdcd7f38977956016999

Aliases

arxiv: 1102.5077 · arxiv_version: 1102.5077v2 · doi: 10.48550/arxiv.1102.5077 · pith_short_12: SKNX2MRAAHZA · pith_short_16: SKNX2MRAAHZAHSXK · pith_short_8: SKNX2MRA

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/SKNX2MRAAHZAHSXKHNN4DI4KS5 \
  | 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: 929b7d322001f203caea3b5bc1a38a97769e3d6c402cbdcd7f38977956016999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de99eb7fbff41403df9d91d52a7079d27f1edb74ffac51679e3e18ea040eba55",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-02-24T20:18:42Z",
    "title_canon_sha256": "633f2edb1fbc810d99526fceff7600dcb601d4b0bd7b68874c00c5a2f4671a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5077",
    "kind": "arxiv",
    "version": 2
  }
}