Pith Number

pith:PLJVWVSE

pith:2010:PLJVWVSETOYLXA3V4Y46SAF6JL

not attested not anchored not stored refs pending

Compact-like abelian groups without non-trivial quasi-convex null sequences

D. Dikranjan, G\'abor Luk\'acs

arxiv:1007.1927 v3 · 2010-07-12 · math.GN · 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{PLJVWVSETOYLXA3V4Y46SAF6JL}

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	2026-05-18T03:08:47.991361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad35b56449bb0bb8375e639e900be4ace08bb220fb116131b1493ce6da96406

Aliases

arxiv: 1007.1927 · arxiv_version: 1007.1927v3 · doi: 10.48550/arxiv.1007.1927 · pith_short_12: PLJVWVSETOYL · pith_short_16: PLJVWVSETOYLXA3V · pith_short_8: PLJVWVSE

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/PLJVWVSETOYLXA3V4Y46SAF6JL \
  | 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: 7ad35b56449bb0bb8375e639e900be4ace08bb220fb116131b1493ce6da96406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ff4917f7861414e31ea7700d8f874c45c3f775402ea3b0d6f0c6ecd7d902d1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-07-12T15:42:50Z",
    "title_canon_sha256": "14261ab4ff2040706e615c50acab2d9e44555f13294b18192b66b87441b88534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1927",
    "kind": "arxiv",
    "version": 3
  }
}