Pith Number

pith:K5AQ7NO2

pith:2018:K5AQ7NO2QJ46DXGEALPYD7V4JL

not attested not anchored not stored refs pending

Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras

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

arxiv:1805.08757 v1 · 2018-05-22 · 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{K5AQ7NO2QJ46DXGEALPYD7V4JL}

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	2026-05-18T00:15:25.145199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57410fb5da8279e1dcc402df81febc4af17bde3c27f6cae8f04baeedbc12c2e2

Aliases

arxiv: 1805.08757 · arxiv_version: 1805.08757v1 · doi: 10.48550/arxiv.1805.08757 · pith_short_12: K5AQ7NO2QJ46 · pith_short_16: K5AQ7NO2QJ46DXGE · pith_short_8: K5AQ7NO2

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/K5AQ7NO2QJ46DXGEALPYD7V4JL \
  | 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: 57410fb5da8279e1dcc402df81febc4af17bde3c27f6cae8f04baeedbc12c2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a4c5d5c6dbfa61330a936008f4f6da4335db65ff91dc107533b818a523512e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-05-22T17:40:17Z",
    "title_canon_sha256": "eb53dd0afd14c33aee8e67b44296883a5ac1ba689b48ada43c3f4275d200bb7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08757",
    "kind": "arxiv",
    "version": 1
  }
}