Pith Number

pith:E4A2PCFW

pith:2010:E4A2PCFWVJESBUPUDIPINF5I7A

not attested not anchored not stored refs pending

A new subgroup lattice characterization of finite solvable groups

John Shareshian, Russ Woodroofe

arxiv:1011.2503 v3 · 2010-11-10 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4A2PCFWVJESBUPUDIPINF5I7A}

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	2026-05-18T04:05:38.937439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2701a788b6aa4920d1f41a1e8697a8f821ee215a9566ee48c3f678a9b5552c8e

Aliases

arxiv: 1011.2503 · arxiv_version: 1011.2503v3 · doi: 10.48550/arxiv.1011.2503 · pith_short_12: E4A2PCFWVJES · pith_short_16: E4A2PCFWVJESBUPU · pith_short_8: E4A2PCFW

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/E4A2PCFWVJESBUPUDIPINF5I7A \
  | 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: 2701a788b6aa4920d1f41a1e8697a8f821ee215a9566ee48c3f678a9b5552c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d61d5bb57a23a7bd9b576f06c663da6195a2bd746f286f9c17df0254d8bfb4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-10T21:07:31Z",
    "title_canon_sha256": "a16f0075918701255d33e6830538aa3a8a5324619c91676b4ad7910939b38d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2503",
    "kind": "arxiv",
    "version": 3
  }
}