Pith Number

pith:LTI3BDWE

pith:2012:LTI3BDWEW2BNSJUUBX5B3HZLS3

not attested not anchored not stored refs pending

Free symmetric group algebras in division rings generated by poly-orderable groups

Jairo Z. Goncalves, Javier Sanchez, Vitor O. Ferreira

arxiv:1206.7013 v1 · 2012-06-29 · 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{LTI3BDWEW2BNSJUUBX5B3HZLS3}

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	2026-05-18T03:52:13.237455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd1b08ec4b682d926940dfa1d9f2b96dbe53428fcba8885ba9a8c7ebaa1a634

Aliases

arxiv: 1206.7013 · arxiv_version: 1206.7013v1 · doi: 10.48550/arxiv.1206.7013 · pith_short_12: LTI3BDWEW2BN · pith_short_16: LTI3BDWEW2BNSJUU · pith_short_8: LTI3BDWE

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/LTI3BDWEW2BNSJUUBX5B3HZLS3 \
  | 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: 5cd1b08ec4b682d926940dfa1d9f2b96dbe53428fcba8885ba9a8c7ebaa1a634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1cdc65d736e4db6d870377753bd58501f95a4f4b939a0787be2f6b30e64ba5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-29T13:10:28Z",
    "title_canon_sha256": "a0455188a659c1951010730ca81ec93812d5d9dd589f6fc529a6ece33929534a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7013",
    "kind": "arxiv",
    "version": 1
  }
}