Pith Number

pith:ZXBSDK7K

pith:2012:ZXBSDK7KUXH6ONSX7IKMTL5ZFU

not attested not anchored not stored refs pending

Covering certain monolithic groups with proper subgroups

Martino Garonzi

arxiv:1211.5345 v1 · 2012-11-22 · 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{ZXBSDK7KUXH6ONSX7IKMTL5ZFU}

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	2026-05-18T03:40:04.639638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc321abeaa5cfe73657fa14c9afb92d3ec9481c315b8297ef22f999da77a20e

Aliases

arxiv: 1211.5345 · arxiv_version: 1211.5345v1 · doi: 10.48550/arxiv.1211.5345 · pith_short_12: ZXBSDK7KUXH6 · pith_short_16: ZXBSDK7KUXH6ONSX · pith_short_8: ZXBSDK7K

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/ZXBSDK7KUXH6ONSX7IKMTL5ZFU \
  | 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: cdc321abeaa5cfe73657fa14c9afb92d3ec9481c315b8297ef22f999da77a20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7315ee2d8004f22a430c31f821265c58a835758b81203d3ca803457f9e59d8f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-22T17:51:48Z",
    "title_canon_sha256": "b8b2d0381828c78ebf63e11a7422e1e239f43f3c02bdbffcaec3fba284241705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5345",
    "kind": "arxiv",
    "version": 1
  }
}