Pith Number

pith:E4M32GGZ

pith:2015:E4M32GGZELFYBBTCM7VJZI35HH

not attested not anchored not stored refs pending

Criteria for a ring to have a left Noetherian left quotient ring

V. V. Bavula

arxiv:1508.03798 v1 · 2015-08-16 · 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{E4M32GGZELFYBBTCM7VJZI35HH}

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	2026-05-18T01:35:15.213121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2719bd18d922cb80866267ea9ca37d39d09a298594c65fe5c809a3fc92db247e

Aliases

arxiv: 1508.03798 · arxiv_version: 1508.03798v1 · doi: 10.48550/arxiv.1508.03798 · pith_short_12: E4M32GGZELFY · pith_short_16: E4M32GGZELFYBBTC · pith_short_8: E4M32GGZ

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/E4M32GGZELFYBBTCM7VJZI35HH \
  | 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: 2719bd18d922cb80866267ea9ca37d39d09a298594c65fe5c809a3fc92db247e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761aaaf6e5031417eeb0bf989d51677c2ba0f58e3c14f3540ba2c97768975fa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-08-16T07:55:07Z",
    "title_canon_sha256": "ef0b2176a02283db3e96b9d4908cb41f612a7fd171e372746f2874ae9aba617f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03798",
    "kind": "arxiv",
    "version": 1
  }
}