Pith Number

pith:NYB6WTKW

pith:2011:NYB6WTKW2OMRORXYNRXLEHRLNU

not attested not anchored not stored refs pending

Free subalgebras of quotient rings of Ore extensions

D. Rogalski, Jason P. Bell

arxiv:1101.5829 v2 · 2011-01-30 · 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{NYB6WTKW2OMRORXYNRXLEHRLNU}

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	2026-05-18T04:11:51.655822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e03eb4d56d3991746f86c6eb21e2b6d3fc712bec6c823cd7e35867562db1bbc

Aliases

arxiv: 1101.5829 · arxiv_version: 1101.5829v2 · doi: 10.48550/arxiv.1101.5829 · pith_short_12: NYB6WTKW2OMR · pith_short_16: NYB6WTKW2OMRORXY · pith_short_8: NYB6WTKW

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/NYB6WTKW2OMRORXYNRXLEHRLNU \
  | 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: 6e03eb4d56d3991746f86c6eb21e2b6d3fc712bec6c823cd7e35867562db1bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7939a50603b2bc7737a4cd776b6fce6cbb13c5ada310438b678be937e1f3214",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-30T22:46:30Z",
    "title_canon_sha256": "21897be4cc0a1e921be868a904cdf60ed702b98186e6dcb49895b6a8d6e6b028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5829",
    "kind": "arxiv",
    "version": 2
  }
}