Pith Number

pith:LWMXY2VS

pith:2011:LWMXY2VSVNAIJLCQG44FR5SC6L

not attested not anchored not stored refs pending

Counting characters in blocks of solvable groups with abelian defect group

James P. Cossey, Mark L. Lewis

arxiv:1112.3819 v1 · 2011-12-16 · 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{LWMXY2VSVNAIJLCQG44FR5SC6L}

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	2026-05-18T04:06:08.691048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d997c6ab2ab4084ac50373858f642f2d97e001d6bc1e23093c87d030530f613

Aliases

arxiv: 1112.3819 · arxiv_version: 1112.3819v1 · doi: 10.48550/arxiv.1112.3819 · pith_short_12: LWMXY2VSVNAI · pith_short_16: LWMXY2VSVNAIJLCQ · pith_short_8: LWMXY2VS

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/LWMXY2VSVNAIJLCQG44FR5SC6L \
  | 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: 5d997c6ab2ab4084ac50373858f642f2d97e001d6bc1e23093c87d030530f613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf9f179b25c9fd4a8f07c95667d17f9946e990e7ff2c4af1d5459a0dcb940df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-16T14:28:45Z",
    "title_canon_sha256": "bf1d2dfd2aa1f4ed45cf3546269cc1b8ec1010306105e0eed2e122802d1af9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3819",
    "kind": "arxiv",
    "version": 1
  }
}