Pith Number

pith:3TULL6WK

pith:2013:3TULL6WKQQ7ZTOQBY6E7I4HLKT

not attested not anchored not stored refs pending

Locally normal subgroups of simple locally compact groups

Colin D. Reid, George A. Willis, Pierre-Emmanuel Caprace

arxiv:1303.6755 v1 · 2013-03-27 · 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{3TULL6WKQQ7ZTOQBY6E7I4HLKT}

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	2026-05-18T02:51:57.145716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce8b5faca843f99ba01c789f470eb54edde4c63ddee7c82059a624d0f521210

Aliases

arxiv: 1303.6755 · arxiv_version: 1303.6755v1 · doi: 10.48550/arxiv.1303.6755 · pith_short_12: 3TULL6WKQQ7Z · pith_short_16: 3TULL6WKQQ7ZTOQB · pith_short_8: 3TULL6WK

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/3TULL6WKQQ7ZTOQBY6E7I4HLKT \
  | 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: dce8b5faca843f99ba01c789f470eb54edde4c63ddee7c82059a624d0f521210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736860c1867411f236211c2d3f4db70af5ae6ba683378e336ae4cbcb3ed28c61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-27T07:24:39Z",
    "title_canon_sha256": "5bbf0f2931194c2eb0194b533e2f70f05701ee7e5a40a2214ba17e1b3752a7e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6755",
    "kind": "arxiv",
    "version": 1
  }
}