Pith Number

pith:37LHOZT5

pith:2016:37LHOZT53M7XRR644SNLAGTPM6

not attested not anchored not stored refs pending

All 2-positive linear maps from M3 to M3 are decomposable

Denny H. Leung, Waishing Tang, Yu Yang

arxiv:1603.03534 v1 · 2016-03-11 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37LHOZT53M7XRR644SNLAGTPM6}

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	2026-05-18T01:19:15.391014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd677667ddb3f78c7dce49ab01a6f67ad1548109048c14c3e2a535a4c423856

Aliases

arxiv: 1603.03534 · arxiv_version: 1603.03534v1 · doi: 10.48550/arxiv.1603.03534 · pith_short_12: 37LHOZT53M7X · pith_short_16: 37LHOZT53M7XRR64 · pith_short_8: 37LHOZT5

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/37LHOZT53M7XRR644SNLAGTPM6 \
  | 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: dfd677667ddb3f78c7dce49ab01a6f67ad1548109048c14c3e2a535a4c423856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e3d2ed982a63f0efa6f751780599123fbcf1f6c4a8ec7c9351a0f93e51e9a40",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-11T06:29:40Z",
    "title_canon_sha256": "3ff8bd534be1d4c9199fdcd73a9264cf7bc2c3004cca3cb36d13f6b0e80884b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03534",
    "kind": "arxiv",
    "version": 1
  }
}