Pith Number

pith:HZLAU6A5

pith:2015:HZLAU6A563ISCNTT2VO2XYREI3

not attested not anchored not stored refs pending

Free algebras and free groups in Ore extensions and free group algebras in division rings

Jairo Z. Goncalves, Jason P. Bell

arxiv:1507.08811 v1 · 2015-07-31 · 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{HZLAU6A563ISCNTT2VO2XYREI3}

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	2026-05-18T01:36:02.791552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e560a781df6d1213673d55dabe22446daf9f21ca2ccadd9a3b1fee4582ff983

Aliases

arxiv: 1507.08811 · arxiv_version: 1507.08811v1 · doi: 10.48550/arxiv.1507.08811 · pith_short_12: HZLAU6A563IS · pith_short_16: HZLAU6A563ISCNTT · pith_short_8: HZLAU6A5

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/HZLAU6A563ISCNTT2VO2XYREI3 \
  | 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: 3e560a781df6d1213673d55dabe22446daf9f21ca2ccadd9a3b1fee4582ff983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ecd550128235a70b7918dba07fa369e7b442fab8abb594bf6420e1447079e50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-07-31T09:45:33Z",
    "title_canon_sha256": "69f7d4f2d9f8efb0a5de89a7b369f2f00bcf45cc1b5a3ae64682ab9ed9169f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08811",
    "kind": "arxiv",
    "version": 1
  }
}