Pith Number

pith:G27RJ2MR

pith:2010:G27RJ2MRYHA7HCCTGNZO5AHEL4

not attested not anchored not stored refs pending

Hilbert series of PI relatively free G-graded algebras are rational functions

Alexei Kanel-Belov, Eli Aljadeff

arxiv:1011.3253 v1 · 2010-11-14 · 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{G27RJ2MRYHA7HCCTGNZO5AHEL4}

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	2026-05-18T00:29:06.168068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36bf14e991c1c1f388533372ee80e45f28b37113785d114d24c9c5db50e2c102

Aliases

arxiv: 1011.3253 · arxiv_version: 1011.3253v1 · doi: 10.48550/arxiv.1011.3253 · pith_short_12: G27RJ2MRYHA7 · pith_short_16: G27RJ2MRYHA7HCCT · pith_short_8: G27RJ2MR

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/G27RJ2MRYHA7HCCTGNZO5AHEL4 \
  | 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: 36bf14e991c1c1f388533372ee80e45f28b37113785d114d24c9c5db50e2c102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f89d6c052c74731a2aa1fa0e120cbc747da45cc484a34dbca080074a4622ff95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-14T21:07:12Z",
    "title_canon_sha256": "62412398f7cc625fd9c2277157ef9063506c3b88c36d6f60b4b25e32963f4937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3253",
    "kind": "arxiv",
    "version": 1
  }
}