Pith Number

pith:KKXQYFAR

pith:2011:KKXQYFARD5M562OI4QLGFRLEN2

not attested not anchored not stored refs pending

Rational group actions on affine PI-algebras

Martin Lorenz

arxiv:1105.4121 v1 · 2011-05-20 · 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{KKXQYFARD5M562OI4QLGFRLEN2}

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	2026-05-18T04:21:42.901748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52af0c14111f59df69c8e41662c5646e9d634dfbebdac4dd25522907541ce2db

Aliases

arxiv: 1105.4121 · arxiv_version: 1105.4121v1 · doi: 10.48550/arxiv.1105.4121 · pith_short_12: KKXQYFARD5M5 · pith_short_16: KKXQYFARD5M562OI · pith_short_8: KKXQYFAR

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/KKXQYFARD5M562OI4QLGFRLEN2 \
  | 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: 52af0c14111f59df69c8e41662c5646e9d634dfbebdac4dd25522907541ce2db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd660ffe66663576fc40140dc56dc61bf043190182a733b7637514c765031515",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-05-20T15:58:12Z",
    "title_canon_sha256": "95feb28c126a47023a9fbaeb18537562adfda5428ebd4e6de685097462793667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4121",
    "kind": "arxiv",
    "version": 1
  }
}