Pith Number

pith:7EQ47XRI

pith:2013:7EQ47XRI4VGJV736DSFHYKLJWH

not attested not anchored not stored refs pending

Locally normal subgroups of totally disconnected groups. Part I: General theory

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

arxiv:1304.5144 v2 · 2013-04-18 · 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{7EQ47XRI4VGJV736DSFHYKLJWH}

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	2026-05-18T00:40:52.168383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f921cfde28e54c9aff7e1c8a7c2969b1c8cd2f8b8fafccc4c1f49b6aa7fed6b0

Aliases

arxiv: 1304.5144 · arxiv_version: 1304.5144v2 · doi: 10.48550/arxiv.1304.5144 · pith_short_12: 7EQ47XRI4VGJ · pith_short_16: 7EQ47XRI4VGJV736 · pith_short_8: 7EQ47XRI

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/7EQ47XRI4VGJV736DSFHYKLJWH \
  | 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: f921cfde28e54c9aff7e1c8a7c2969b1c8cd2f8b8fafccc4c1f49b6aa7fed6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3842eb0f5ab92240fa0016375ec3c47847e766ce2da0a1cb1512132974ed0d49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-18T14:18:38Z",
    "title_canon_sha256": "dbef7a7376749b9f5a5bd6d093d57ee701f4b8c4097e1c99bbf5c59269760c61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5144",
    "kind": "arxiv",
    "version": 2
  }
}