Pith Number

pith:E6PISPHU

pith:2012:E6PISPHUBC3VOTCISHA3VEMVPF

not attested not anchored not stored refs pending

Collectibility for Mixed Quantum States

Karol \.Zyczkowski, {\L}ukasz Rudnicki, Pawe{\l} Horodecki, Zbigniew Pucha{\l}a

arxiv:1211.0573 v1 · 2012-11-02 · 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{E6PISPHUBC3VOTCISHA3VEMVPF}

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	2026-05-18T03:37:20.024932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

279e893cf408b7574c4891c1ba91957971724051ef5acb6e9bc0226ba4b49b92

Aliases

arxiv: 1211.0573 · arxiv_version: 1211.0573v1 · doi: 10.48550/arxiv.1211.0573 · pith_short_12: E6PISPHUBC3V · pith_short_16: E6PISPHUBC3VOTCI · pith_short_8: E6PISPHU

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/E6PISPHUBC3VOTCISHA3VEMVPF \
  | 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: 279e893cf408b7574c4891c1ba91957971724051ef5acb6e9bc0226ba4b49b92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4344b66346e0f4ab51136f4e446556b05db31c396cafbb2764a3ad411b348f42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-02T21:57:19Z",
    "title_canon_sha256": "ccaeaf0791c4a2713214c5742e9917f355722f021282ea6b5c134fa0db9cdce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0573",
    "kind": "arxiv",
    "version": 1
  }
}