Pith Number

pith:QM4EPD64

pith:2010:QM4EPD64JXXGK3AFQBGVE6NTQS

not attested not anchored not stored refs pending

On the spectral theory of Rickart Ordered *-algebras

Alexander A. Katz, Dmitry Sh. Goldstein, Roman Sklyar

arxiv:1012.5262 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{QM4EPD64JXXGK3AFQBGVE6NTQS}

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	2026-05-18T04:32:35.480438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8338478fdc4dee656c05804d5279b384a5288691e944aee81e168e57e7be9c35

Aliases

arxiv: 1012.5262 · arxiv_version: 1012.5262v1 · doi: 10.48550/arxiv.1012.5262 · pith_short_12: QM4EPD64JXXG · pith_short_16: QM4EPD64JXXGK3AF · pith_short_8: QM4EPD64

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/QM4EPD64JXXGK3AFQBGVE6NTQS \
  | 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: 8338478fdc4dee656c05804d5279b384a5288691e944aee81e168e57e7be9c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8c5a9fce906e373afb8c5d5010ee211105aee7cf1a4f63d84278e854180dc4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-23T17:50:57Z",
    "title_canon_sha256": "ce8f29faec32b52f02850e21b0973dff89d3190c270f2dc1b74e94ff72ae466a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5262",
    "kind": "arxiv",
    "version": 1
  }
}