Pith Number

pith:X2ZTEX6W

pith:2013:X2ZTEX6WMJTAVOHBPQ74NDEZ7V

not attested not anchored not stored refs pending

Optimality of a class of entanglement witnesses for $3\otimes 3$ systems

Jinchuan Hou, Xiaofei Qi

arxiv:1301.7558 v1 · 2013-01-31 · 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{X2ZTEX6WMJTAVOHBPQ74NDEZ7V}

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	2026-05-18T01:51:56.688420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb3325fd662660ab8e17c3fc68c99fd70e41ef9ec0818492309859914dc61d8

Aliases

arxiv: 1301.7558 · arxiv_version: 1301.7558v1 · doi: 10.48550/arxiv.1301.7558 · pith_short_12: X2ZTEX6WMJTA · pith_short_16: X2ZTEX6WMJTAVOHB · pith_short_8: X2ZTEX6W

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/X2ZTEX6WMJTAVOHBPQ74NDEZ7V \
  | 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: beb3325fd662660ab8e17c3fc68c99fd70e41ef9ec0818492309859914dc61d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44022f8bc3e43bec8b9ac576280a72f373d78a8f442aaea77396d419bc562eea",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-31T09:22:35Z",
    "title_canon_sha256": "6edad9d1d726448dfca87cc8d5e3db7a397ede16203f56b8e0aaf60c2313f7bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7558",
    "kind": "arxiv",
    "version": 1
  }
}