Pith Number

pith:NIAKKDMO

pith:2016:NIAKKDMOALS67BPUWCHWMSEEWH

not attested not anchored not stored refs pending

Kaplansky's zero divisor and unit conjectures on elements with supports of size $3$

Alireza Abdollahi, Zahra Taheri

arxiv:1612.00934 v1 · 2016-12-03 · math.GR · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIAKKDMOALS67BPUWCHWMSEEWH}

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	2026-05-18T00:55:53.795304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a00a50d8e02e5ef85f4b08f664884b1caccd581abff5cc62ecfe29642ed958d

Aliases

arxiv: 1612.00934 · arxiv_version: 1612.00934v1 · doi: 10.48550/arxiv.1612.00934 · pith_short_12: NIAKKDMOALS6 · pith_short_16: NIAKKDMOALS67BPU · pith_short_8: NIAKKDMO

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/NIAKKDMOALS67BPUWCHWMSEEWH \
  | 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: 6a00a50d8e02e5ef85f4b08f664884b1caccd581abff5cc62ecfe29642ed958d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476c564833b63f610580b60de973943f1e2558533b3b840fd46c39f3a53e6f1c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-03T07:19:27Z",
    "title_canon_sha256": "a1508045b6ac3bc525004188d2ae4d60b3654ff7a2bdca84a549facccba3d4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00934",
    "kind": "arxiv",
    "version": 1
  }
}