Pith Number

pith:F3W4ZQTY

pith:2016:F3W4ZQTYOG4LH3FM5VSCWGPFAS

not attested not anchored not stored refs pending

On elementary equivalence of rings with a finitely generated additive group

Alexei Miasnikov, Mahmood Sohrabi

arxiv:1609.09810 v1 · 2016-09-30 · math.RA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3W4ZQTYOG4LH3FM5VSCWGPFAS}

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	2026-05-18T01:03:33.309330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eedccc27871b8b3ecaced642b19e50493f7901d8366c9242ea162985dcbdfaf

Aliases

arxiv: 1609.09810 · arxiv_version: 1609.09810v1 · doi: 10.48550/arxiv.1609.09810 · pith_short_12: F3W4ZQTYOG4L · pith_short_16: F3W4ZQTYOG4LH3FM · pith_short_8: F3W4ZQTY

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/F3W4ZQTYOG4LH3FM5VSCWGPFAS \
  | 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: 2eedccc27871b8b3ecaced642b19e50493f7901d8366c9242ea162985dcbdfaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b9a3c5f31bca861cf57d021f008c49eeec5476b9173b85aeb48b6a86cc5e2da",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-30T16:53:55Z",
    "title_canon_sha256": "dbbd3731cb355b51199a4d16b33a33440d7d39383d4e9f6a262f71587db0271c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09810",
    "kind": "arxiv",
    "version": 1
  }
}