Pith Number

pith:2Y4EIONA

pith:2011:2Y4EIONADSGZQNM2MGBHHPVXRS

not attested not anchored not stored refs pending

Free subalgebras of division algebras over uncountable fields

D. Rogalski, Jason P. Bell

arxiv:1112.0041 v2 · 2011-11-30 · 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{2Y4EIONADSGZQNM2MGBHHPVXRS}

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	2026-05-18T03:19:33.149181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6384439a01c8d98359a618273beb78c97cdcde3b4cba2b49f9706ae2e0b86b7

Aliases

arxiv: 1112.0041 · arxiv_version: 1112.0041v2 · doi: 10.48550/arxiv.1112.0041 · pith_short_12: 2Y4EIONADSGZ · pith_short_16: 2Y4EIONADSGZQNM2 · pith_short_8: 2Y4EIONA

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/2Y4EIONADSGZQNM2MGBHHPVXRS \
  | 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: d6384439a01c8d98359a618273beb78c97cdcde3b4cba2b49f9706ae2e0b86b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2298fc2c7b8c10a88c9f6ef37474f57bf3eb0a8dc4797fdcb6e7a39a2018e87a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-30T21:56:02Z",
    "title_canon_sha256": "80b514ec144719c4cc201bdea88792d344f03888e2a8412885177527c8693150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0041",
    "kind": "arxiv",
    "version": 2
  }
}