Pith Number

pith:XHR4Z2GQ

pith:2010:XHR4Z2GQMYZ6OHZSB67Y73NRS6

not attested not anchored not stored refs pending

The group ${\rm K}_1(\mS_n)$ of the algebra of one-sided inverses of a polynomial algebra

V. V. Bavula

arxiv:1005.3550 v2 · 2010-05-19 · math.KT · math.AG · 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{XHR4Z2GQMYZ6OHZSB67Y73NRS6}

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	2026-05-18T03:26:39.798217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9e3cce8d06633e71f320fbf8fedb1979153c32508dabf5e606b3286c3e984cc

Aliases

arxiv: 1005.3550 · arxiv_version: 1005.3550v2 · doi: 10.48550/arxiv.1005.3550 · pith_short_12: XHR4Z2GQMYZ6 · pith_short_16: XHR4Z2GQMYZ6OHZS · pith_short_8: XHR4Z2GQ

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/XHR4Z2GQMYZ6OHZSB67Y73NRS6 \
  | 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: b9e3cce8d06633e71f320fbf8fedb1979153c32508dabf5e606b3286c3e984cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe465b40d322d74ae90051304da185202bc5725e8f0d3bb3441eb99a0c23761",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-05-19T20:22:41Z",
    "title_canon_sha256": "531b93f00029bd40eff7ab56227b1e99b8b48a473bd59abeed072fdfdd3125d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3550",
    "kind": "arxiv",
    "version": 2
  }
}