Pith Number

pith:LX6TI7MN

pith:2011:LX6TI7MNMVVT2X7PSKFPETMSB5

not attested not anchored not stored refs pending

Approximating a group by its solvable quotients

Khalid Bou-Rabee

arxiv:1102.4030 v2 · 2011-02-19 · 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{LX6TI7MNMVVT2X7PSKFPETMSB5}

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	2026-05-18T04:24:36.053146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dfd347d8d656b3d5fef928af24d920f42a624772c41441fb16bd1fe65c8be68

Aliases

arxiv: 1102.4030 · arxiv_version: 1102.4030v2 · doi: 10.48550/arxiv.1102.4030 · pith_short_12: LX6TI7MNMVVT · pith_short_16: LX6TI7MNMVVT2X7P · pith_short_8: LX6TI7MN

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/LX6TI7MNMVVT2X7PSKFPETMSB5 \
  | 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: 5dfd347d8d656b3d5fef928af24d920f42a624772c41441fb16bd1fe65c8be68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d985a82ad0effb839b40dd0b52d60b10446ef3427f767be99b5652e8af9078",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-19T23:13:01Z",
    "title_canon_sha256": "f1b12d33f9773d0a9a2945a9ddb3dcdf55017a33b6954a47b411d567e5be7ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4030",
    "kind": "arxiv",
    "version": 2
  }
}