Pith Number

pith:TQJ3Y3IQ

pith:2012:TQJ3Y3IQ2ZNJVLTZL4IU45O4KI

not attested not anchored not stored refs pending

The weights of closed subgroups of a locally compact group

Karl H. Hofmann, Salvador Hern\'andez, Sidney A. Morris

arxiv:1201.3814 v1 · 2012-01-18 · math.GR · 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{TQJ3Y3IQ2ZNJVLTZL4IU45O4KI}

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	2026-05-18T04:04:17.923540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c13bc6d10d65a9aae795f114e75dc52129d027bf747671d473f2d1899a39b76

Aliases

arxiv: 1201.3814 · arxiv_version: 1201.3814v1 · doi: 10.48550/arxiv.1201.3814 · pith_short_12: TQJ3Y3IQ2ZNJ · pith_short_16: TQJ3Y3IQ2ZNJVLTZ · pith_short_8: TQJ3Y3IQ

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/TQJ3Y3IQ2ZNJVLTZL4IU45O4KI \
  | 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: 9c13bc6d10d65a9aae795f114e75dc52129d027bf747671d473f2d1899a39b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e435e8061a69e721a8b145c60d22a91a7481050797e8c80e9b082540fab293bd",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-18T15:08:38Z",
    "title_canon_sha256": "6268fa130bc53b7aa3e86b194c2ee5c9d1b146b8fc35028d567a3c36cb7c913d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3814",
    "kind": "arxiv",
    "version": 1
  }
}