Pith Number

pith:5MEKZKGG

pith:2012:5MEKZKGGCKYX454NXGDJIL4GED

not attested not anchored not stored refs pending

On Some Classes of Non-Archimedean Operator Algebras

Anatoly N. Kochubei

arxiv:1206.2751 v3 · 2012-06-13 · math.FA · math-ph · math.MP · math.OA · 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{5MEKZKGGCKYX454NXGDJIL4GED}

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	2026-05-18T03:14:53.183543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb08aca8c612b17e778db986942f8620f157b2e4dc18cc8e6132a09d3f7e777d

Aliases

arxiv: 1206.2751 · arxiv_version: 1206.2751v3 · doi: 10.48550/arxiv.1206.2751 · pith_short_12: 5MEKZKGGCKYX · pith_short_16: 5MEKZKGGCKYX454N · pith_short_8: 5MEKZKGG

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/5MEKZKGGCKYX454NXGDJIL4GED \
  | 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: eb08aca8c612b17e778db986942f8620f157b2e4dc18cc8e6132a09d3f7e777d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903eff373ebfeda5091dedf9eda58d3cac9380ca37645e129bb6e5c367d3e895",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-13T08:48:10Z",
    "title_canon_sha256": "5e70db09f54612bd086261a3ac72fd7750e3006adff5db40d5f9d33fa11dc8de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2751",
    "kind": "arxiv",
    "version": 3
  }
}