Pith Number

pith:XSMIUBTR

pith:2011:XSMIUBTRRBJWLBUETFFBNH5OUX

not attested not anchored not stored refs pending

A characterization of optimal entanglement witnesses

Jinchuan Hou, Xiaofei Qi

arxiv:1109.2300 v1 · 2011-09-11 · quant-ph · 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{XSMIUBTRRBJWLBUETFFBNH5OUX}

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	2026-05-18T02:00:34.771571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc988a06718853658684994a169faea5c9c67aea20b102e00777e24bd510309f

Aliases

arxiv: 1109.2300 · arxiv_version: 1109.2300v1 · doi: 10.48550/arxiv.1109.2300 · pith_short_12: XSMIUBTRRBJW · pith_short_16: XSMIUBTRRBJWLBUE · pith_short_8: XSMIUBTR

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/XSMIUBTRRBJWLBUETFFBNH5OUX \
  | 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: bc988a06718853658684994a169faea5c9c67aea20b102e00777e24bd510309f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b33dfde7f0f3da0638c8a79808c0dfa6d6e5e19fa9ab46410cf93c42980c24ae",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-11T09:37:52Z",
    "title_canon_sha256": "2f5433cba674e87bc785cd85d03acab90c0d4ca82f8b577c4443da62334eb0b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2300",
    "kind": "arxiv",
    "version": 1
  }
}