Pith Number

pith:L2Y7UX34

pith:2013:L2Y7UX34ANC5LR4I5QUKJYCRKI

not attested not anchored not stored refs pending

Projective Tensor Products of $C^*$-algebras

Ajay Kumar, Vandana Rajpal

arxiv:1305.0791 v1 · 2013-05-03 · 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{L2Y7UX34ANC5LR4I5QUKJYCRKI}

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	2026-05-18T03:26:32.888553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eb1fa5f7c0345d5c788ec28a4e051523bae592769a16e87d85f68b068e0a0d3

Aliases

arxiv: 1305.0791 · arxiv_version: 1305.0791v1 · doi: 10.48550/arxiv.1305.0791 · pith_short_12: L2Y7UX34ANC5 · pith_short_16: L2Y7UX34ANC5LR4I · pith_short_8: L2Y7UX34

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/L2Y7UX34ANC5LR4I5QUKJYCRKI \
  | 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: 5eb1fa5f7c0345d5c788ec28a4e051523bae592769a16e87d85f68b068e0a0d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01053d48de088a551cfe04e130aed0d15cd0cefc44c0d3dd0cf54868924fe9bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-03T18:14:16Z",
    "title_canon_sha256": "6c94bebd7dc2f22384e80dcbeb23553f9cabe525f391d380aee7c574b800472e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0791",
    "kind": "arxiv",
    "version": 1
  }
}