Pith Number

pith:DZQKVEHR

pith:2011:DZQKVEHROZ7DKCGCUYNESQDA3A

not attested not anchored not stored refs pending

Noether's problem for the groups with a cyclic subgroup of index 4

Ivo M. Michailov, Jian Zhou, Ming-chang Kang

arxiv:1108.3379 v1 · 2011-08-17 · math.AC · 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{DZQKVEHROZ7DKCGCUYNESQDA3A}

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	2026-05-18T04:05:47.176508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e60aa90f1767e3508c2a61a494060d827b937d113eabefc237cb8d14fea5b7d

Aliases

arxiv: 1108.3379 · arxiv_version: 1108.3379v1 · doi: 10.48550/arxiv.1108.3379 · pith_short_12: DZQKVEHROZ7D · pith_short_16: DZQKVEHROZ7DKCGC · pith_short_8: DZQKVEHR

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/DZQKVEHROZ7DKCGCUYNESQDA3A \
  | 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: 1e60aa90f1767e3508c2a61a494060d827b937d113eabefc237cb8d14fea5b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b58f45af6e7e88980a0149cf149a07970f3d572c6a77a165d22ccf4a57bdbc4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-08-17T01:50:48Z",
    "title_canon_sha256": "bd7c4f8bd9237b1afa28cfd62745b7822eb3edccf91a3f33a8aa08c59da6b1d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3379",
    "kind": "arxiv",
    "version": 1
  }
}