Pith Number

pith:54MDAEJN

pith:2010:54MDAEJN5RLHP366JF5JQV2GFJ

not attested not anchored not stored refs pending

On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties

Alexander A. Katz

arxiv:1012.5196 v1 · 2010-12-23 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54MDAEJN5RLHP366JF5JQV2GFJ}

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	2026-05-18T04:32:35.626483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1830112dec5677efde497a9857462a7bc9bb4abee81a8157e06851ee0f0ea9

Aliases

arxiv: 1012.5196 · arxiv_version: 1012.5196v1 · doi: 10.48550/arxiv.1012.5196 · pith_short_12: 54MDAEJN5RLH · pith_short_16: 54MDAEJN5RLHP366 · pith_short_8: 54MDAEJN

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/54MDAEJN5RLHP366JF5JQV2GFJ \
  | 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: ef1830112dec5677efde497a9857462a7bc9bb4abee81a8157e06851ee0f0ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2386ae866d2be5025a8609c90b49a65ed55002f1002bd6d1122a77e4582558",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-23T13:29:17Z",
    "title_canon_sha256": "701b8747c866d4ce9a0cbada5f32c02f92694aeee5ab7235bffe663ad31d4a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5196",
    "kind": "arxiv",
    "version": 1
  }
}