Pith Number

pith:N636HWO5

pith:2013:N636HWO5XL7RQVHSDO6PA7WQVH

not attested not anchored not stored refs pending

Conditions for Primitivity of unital amalgamated full free products of finite dimensional C*-algebras

Francisco Torres-Ayala

arxiv:1311.6744 v2 · 2013-11-26 · 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{N636HWO5XL7RQVHSDO6PA7WQVH}

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	2026-05-18T03:02:58.921759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb7e3d9ddbaff1854f21bbcf07ed0a9d0c61343a48c537b5d218f95c4efa2ff

Aliases

arxiv: 1311.6744 · arxiv_version: 1311.6744v2 · doi: 10.48550/arxiv.1311.6744 · pith_short_12: N636HWO5XL7R · pith_short_16: N636HWO5XL7RQVHS · pith_short_8: N636HWO5

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/N636HWO5XL7RQVHSDO6PA7WQVH \
  | 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: 6fb7e3d9ddbaff1854f21bbcf07ed0a9d0c61343a48c537b5d218f95c4efa2ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f715f39053d09d4ea909dce0a5fb7cf67e5da6ad2f6135b2a11bfe6e60b578",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-11-26T17:23:10Z",
    "title_canon_sha256": "4663eab0238d42485e0f3a06a3328c1a0bf27659b9886e223a316cf9d2e7259f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6744",
    "kind": "arxiv",
    "version": 2
  }
}