Pith Number

pith:QMKXOLGN

pith:2019:QMKXOLGNRB2RDDTWJIDPFYHDD7

not attested not anchored not stored refs pending

groups with the same number of centralizers

K. Khoramshahi, M. Zarrin

arxiv:1906.09424 v1 · 2019-06-22 · 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{QMKXOLGNRB2RDDTWJIDPFYHDD7}

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	2026-05-17T23:42:38.129918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8315772ccd8875118e764a06f2e0e31fd8173e06d065dd28fd135d45f2950b92

Aliases

arxiv: 1906.09424 · arxiv_version: 1906.09424v1 · doi: 10.48550/arxiv.1906.09424 · pith_short_12: QMKXOLGNRB2R · pith_short_16: QMKXOLGNRB2RDDTW · pith_short_8: QMKXOLGN

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/QMKXOLGNRB2RDDTWJIDPFYHDD7 \
  | 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: 8315772ccd8875118e764a06f2e0e31fd8173e06d065dd28fd135d45f2950b92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3e73a03d104c28e1437507245c05c726db3d1fa491bea5f85ae8bac1d4a97c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-06-22T10:13:52Z",
    "title_canon_sha256": "6ae2c481fa5f4c311247765ba312eb0920d89764032f90fe2ecc70f336dc9a09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09424",
    "kind": "arxiv",
    "version": 1
  }
}