Pith Number

pith:MP4RIEGZ

pith:2014:MP4RIEGZEFPUKCX5FSHBWEICHP

not attested not anchored not stored refs pending

The solvability of groups with nilpotent minimal coverings

Francesco Fumagalli, Marta Morigi, Russell D. Blyth

arxiv:1409.7501 v1 · 2014-09-26 · 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{MP4RIEGZEFPUKCX5FSHBWEICHP}

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	2026-05-18T02:41:52.534718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f91410d9215f450afd2c8e1b11023bf2611831ed2b2346f64b9cb240e3f0b3

Aliases

arxiv: 1409.7501 · arxiv_version: 1409.7501v1 · doi: 10.48550/arxiv.1409.7501 · pith_short_12: MP4RIEGZEFPU · pith_short_16: MP4RIEGZEFPUKCX5 · pith_short_8: MP4RIEGZ

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/MP4RIEGZEFPUKCX5FSHBWEICHP \
  | 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: 63f91410d9215f450afd2c8e1b11023bf2611831ed2b2346f64b9cb240e3f0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f5f5775e35ab6ee5427b46e5aa9266b1966e8ee055bc4e19e8d35f21010c2e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-26T08:50:13Z",
    "title_canon_sha256": "69b1f9e7dbffd3938e27c8f2ae02e41a55346a5bdd2d33ecb307624fd87ad6e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7501",
    "kind": "arxiv",
    "version": 1
  }
}