Pith Number

pith:OXI72HRJ

pith:2013:OXI72HRJOK7NYZ2K7XB7C5LISX

not attested not anchored not stored refs pending

Weak Schmidt decomposition and generalized Bell basis related to Hadamard matrices

Bobo Hua, Juergen Jost, Shaoming Fei, Xianqing Li-Jost

arxiv:1308.1505 v2 · 2013-08-07 · 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{OXI72HRJOK7NYZ2K7XB7C5LISX}

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	2026-05-18T02:57:52.743242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75d1fd1e2972bedc674afdc3f1756895f7cae7c74d6740ce30852fca39041f10

Aliases

arxiv: 1308.1505 · arxiv_version: 1308.1505v2 · doi: 10.48550/arxiv.1308.1505 · pith_short_12: OXI72HRJOK7N · pith_short_16: OXI72HRJOK7NYZ2K · pith_short_8: OXI72HRJ

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/OXI72HRJOK7NYZ2K7XB7C5LISX \
  | 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: 75d1fd1e2972bedc674afdc3f1756895f7cae7c74d6740ce30852fca39041f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0292aedda4673a59ab28d2ad682aa0e73a3a7065a5581e13801def4ac8a6e562",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-08-07T08:52:53Z",
    "title_canon_sha256": "77907b6797f72c70414a86f74466e9dff19ac66fb2e0396f1fac50ae3d7dcf1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1505",
    "kind": "arxiv",
    "version": 2
  }
}