Pith Number

pith:DRY7HUSF

pith:2011:DRY7HUSFHSISFVFTPL5QZZY7OO

not attested not anchored not stored refs pending

On pro-$p$ analogues of limit groups via extensions of centralizers

Dessislava H. Kochloukova, Pavel A. Zalesskii

arxiv:1107.2331 v1 · 2011-07-12 · 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{DRY7HUSFHSISFVFTPL5QZZY7OO}

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	2026-05-18T04:18:24.800719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c71f3d2453c9122d4b37afb0ce71f73a483b86186e2db653246249da0371700

Aliases

arxiv: 1107.2331 · arxiv_version: 1107.2331v1 · doi: 10.48550/arxiv.1107.2331 · pith_short_12: DRY7HUSFHSIS · pith_short_16: DRY7HUSFHSISFVFT · pith_short_8: DRY7HUSF

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/DRY7HUSFHSISFVFTPL5QZZY7OO \
  | 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: 1c71f3d2453c9122d4b37afb0ce71f73a483b86186e2db653246249da0371700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c68f2c66ddfa3fa053fdd240f1c5e4310a4b9ec7beaea19dfdcd06592d039f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-12T15:57:56Z",
    "title_canon_sha256": "99e272f8b3ae872aa42b0e8841ba4901d5b47aff02dd499e1dc55afc7a1cd128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2331",
    "kind": "arxiv",
    "version": 1
  }
}