Pith Number

pith:PRNJUFWU

pith:2011:PRNJUFWUED3FDEKMRKE36FGGSK

not attested not anchored not stored refs pending

A Direct Approach to Noncrossed Product Division Algebras

Timo Hanke

arxiv:1109.1580 v1 · 2011-09-07 · math.RA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRNJUFWUED3FDEKMRKE36FGGSK}

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	2026-05-18T04:13:54.877310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c5a9a16d420f651914c8a89bf14c69286a910bbb9cd8bde6d02b2f734a7a718

Aliases

arxiv: 1109.1580 · arxiv_version: 1109.1580v1 · doi: 10.48550/arxiv.1109.1580 · pith_short_12: PRNJUFWUED3F · pith_short_16: PRNJUFWUED3FDEKM · pith_short_8: PRNJUFWU

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/PRNJUFWUED3FDEKMRKE36FGGSK \
  | 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: 7c5a9a16d420f651914c8a89bf14c69286a910bbb9cd8bde6d02b2f734a7a718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0754ba27c747588f0664e6dd2d641df142d98fd59ff907a78debe4e8c9631860",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-07T21:12:42Z",
    "title_canon_sha256": "f84a29fc9892b770de2fd6f7dff9f32e0735875a5bce660c79b029b59728e2d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1580",
    "kind": "arxiv",
    "version": 1
  }
}