Pith Number

pith:5VXVGTSU

pith:2012:5VXVGTSUNDNNPMXEDT2SUSR7EX

not attested not anchored not stored refs pending

Symmetry and quasi-centrality of operator space projective tensor product

Ajay Kumar, Vandana Rajpal

arxiv:1205.1679 v1 · 2012-05-08 · 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{5VXVGTSUNDNNPMXEDT2SUSR7EX}

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	2026-05-18T03:56:09.453746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6f534e5468dad7b2e41cf52a4a3f25f382bbc4db4f3ab5312a4c9e2cf5c0a6

Aliases

arxiv: 1205.1679 · arxiv_version: 1205.1679v1 · doi: 10.48550/arxiv.1205.1679 · pith_short_12: 5VXVGTSUNDNN · pith_short_16: 5VXVGTSUNDNNPMXE · pith_short_8: 5VXVGTSU

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/5VXVGTSUNDNNPMXEDT2SUSR7EX \
  | 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: ed6f534e5468dad7b2e41cf52a4a3f25f382bbc4db4f3ab5312a4c9e2cf5c0a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330def94bbff6c6ed1ad886731a4b7266e89cd7289bf091b674153d424964c1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-05-08T12:52:06Z",
    "title_canon_sha256": "e9b7767696e5a477f20d556833c009184641a2dd65f3af6aa3d44a0d38435773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1679",
    "kind": "arxiv",
    "version": 1
  }
}