Pith Number

pith:YCZ45RU7

pith:2013:YCZ45RU7FBM6RCI7RIYZ6GE63H

not attested not anchored not stored refs pending

Subgroups and Homology of Extensions of Centralizers of Pro-p Groups

Dessislava Kochloukova, Pavel Zalesskii

arxiv:1309.2569 v1 · 2013-09-10 · 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{YCZ45RU7FBM6RCI7RIYZ6GE63H}

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	2026-05-18T03:13:44.201582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b3cec69f2859e8891f8a319f189ed9f529a381367487b80aa36db8f1b27537

Aliases

arxiv: 1309.2569 · arxiv_version: 1309.2569v1 · doi: 10.48550/arxiv.1309.2569 · pith_short_12: YCZ45RU7FBM6 · pith_short_16: YCZ45RU7FBM6RCI7 · pith_short_8: YCZ45RU7

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/YCZ45RU7FBM6RCI7RIYZ6GE63H \
  | 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: c0b3cec69f2859e8891f8a319f189ed9f529a381367487b80aa36db8f1b27537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e95bcf5313e60819151dcb19dc9365d58444b5a39290703f6b026af9aaeeb8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-10T16:27:43Z",
    "title_canon_sha256": "5ffe01b2a8a080cf8a5472b0f29e385785e366204a1782bd59f86d63ce4d002e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2569",
    "kind": "arxiv",
    "version": 1
  }
}