Pith Number

pith:KQJ6VVP5

pith:2012:KQJ6VVP5YTKLSQGUPR6EPEO434

not attested not anchored not stored refs pending

Subgroup properties of pro-p extensions of centralizers

Ilir Snopce, Pavel Zalesskii

arxiv:1205.5574 v1 · 2012-05-24 · 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{KQJ6VVP5YTKLSQGUPR6EPEO434}

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	2026-05-18T03:54:59.811607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5413ead5fdc4d4b940d47c7c4791dcdf31ad7d732fd6977b2218623ff4d954cc

Aliases

arxiv: 1205.5574 · arxiv_version: 1205.5574v1 · doi: 10.48550/arxiv.1205.5574 · pith_short_12: KQJ6VVP5YTKL · pith_short_16: KQJ6VVP5YTKLSQGU · pith_short_8: KQJ6VVP5

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/KQJ6VVP5YTKLSQGUPR6EPEO434 \
  | 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: 5413ead5fdc4d4b940d47c7c4791dcdf31ad7d732fd6977b2218623ff4d954cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f94f9fc04602082901ff4ac148146a46cb7a50d4113bb1fcb13415533ec24bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-24T21:08:26Z",
    "title_canon_sha256": "c042e7bec929326d297fe1afa27491e2327c29a139e112e5d58a41173422f201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5574",
    "kind": "arxiv",
    "version": 1
  }
}