Pith Number

pith:KK4EPUOP

pith:2014:KK4EPUOPN3QMYATBOBFPYRPSVI

not attested not anchored not stored refs pending

On the Schmidt-rank-three bipartite and multipartite unitary operator

Lin Chen, Li Yu

arxiv:1407.5464 v2 · 2014-07-21 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK4EPUOPN3QMYATBOBFPYRPSVI}

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	2026-05-18T02:39:40.248797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b847d1cf6ee0cc0261704afc45f2aa124bc76177615458bf72c0c82992be10

Aliases

arxiv: 1407.5464 · arxiv_version: 1407.5464v2 · doi: 10.48550/arxiv.1407.5464 · pith_short_12: KK4EPUOPN3QM · pith_short_16: KK4EPUOPN3QMYATB · pith_short_8: KK4EPUOP

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/KK4EPUOPN3QMYATBOBFPYRPSVI \
  | 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: 52b847d1cf6ee0cc0261704afc45f2aa124bc76177615458bf72c0c82992be10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b302556da9cefc4ebff19c4216ac723a76e774c8b0faf514714194167cf510",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-07-21T11:35:02Z",
    "title_canon_sha256": "4e7a669cc611876b11056fcd20c019c0a30d086221fadc6bf4eb2f4c5d15bd22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5464",
    "kind": "arxiv",
    "version": 2
  }
}