Pith Number

pith:QAKCQKTL

pith:2012:QAKCQKTLPKWSWQTOMHARBBE6B3

not attested not anchored not stored refs pending

Discrete subgroups of locally definable groups

Alessandro Berarducci, Marcello Mamino, M\'ario Edmundo

arxiv:1202.5649 v2 · 2012-02-25 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAKCQKTLPKWSWQTOMHARBBE6B3}

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	2026-05-18T02:53:15.669807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8014282a6b7aad2b426e61c110849e0edcae1f75161af5c9518daab46328cf8c

Aliases

arxiv: 1202.5649 · arxiv_version: 1202.5649v2 · doi: 10.48550/arxiv.1202.5649 · pith_short_12: QAKCQKTLPKWS · pith_short_16: QAKCQKTLPKWSWQTO · pith_short_8: QAKCQKTL

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/QAKCQKTLPKWSWQTOMHARBBE6B3 \
  | 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: 8014282a6b7aad2b426e61c110849e0edcae1f75161af5c9518daab46328cf8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df61dd6de57e091dbaf7a2d7e7d8a7cfe07aafbed3b2318833c6a5f035a84d9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-02-25T14:09:43Z",
    "title_canon_sha256": "a409a5cc72f1090aa5f0fdd6051ba554ba79d01ad178883a6c6b903a84cb87ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5649",
    "kind": "arxiv",
    "version": 2
  }
}