Pith Number

pith:XZ6IW2LX

pith:2011:XZ6IW2LXY3JDKJDITFD2GWT7IY

not attested not anchored not stored refs pending

Infinite order decompositions of C$^*$-algebras

F.N. Arzikulov

arxiv:1103.3404 v2 · 2011-03-17 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ6IW2LXY3JDKJDITFD2GWT7IY}

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	2026-05-18T03:12:20.351276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7c8b6977c6d23524689947a35a7f461be962d54fe78e9ad06dafa039d2692d

Aliases

arxiv: 1103.3404 · arxiv_version: 1103.3404v2 · doi: 10.48550/arxiv.1103.3404 · pith_short_12: XZ6IW2LXY3JD · pith_short_16: XZ6IW2LXY3JDKJDI · pith_short_8: XZ6IW2LX

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/XZ6IW2LXY3JDKJDITFD2GWT7IY \
  | 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: be7c8b6977c6d23524689947a35a7f461be962d54fe78e9ad06dafa039d2692d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dee9d08bb403802b684f6bed4b3b99aed210b08e4fe143ebd57c166bed4ff45b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-03-17T13:23:34Z",
    "title_canon_sha256": "971d678ad574fa381bf51faa07a84ecf5d3a4af08bb1601bb5d83d69b40cace4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3404",
    "kind": "arxiv",
    "version": 2
  }
}