Pith Number

pith:57HRQDDT

pith:2012:57HRQDDTQI6D6NANWVSLAX3FSR

not attested not anchored not stored refs pending

Non-Additivity of the Entanglement of Purification (Beyond Reasonable Doubt)

Andreas Winter, Jianxin Chen

arxiv:1206.1307 v1 · 2012-06-06 · quant-ph · cs.IT · math.IT

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\usepackage{pith}
\pithnumber{57HRQDDTQI6D6NANWVSLAX3FSR}

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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.

Cited by

1 paper in Pith

Additivity Results for the R\'enyi-2 Entanglement of Purification

Receipt and verification

First computed	2026-05-18T03:54:06.477493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efcf180c73823c3f340db564b05f65944f2f6cca89bc87cefc8d5921cebca950

Aliases

arxiv: 1206.1307 · arxiv_version: 1206.1307v1 · doi: 10.48550/arxiv.1206.1307 · pith_short_12: 57HRQDDTQI6D · pith_short_16: 57HRQDDTQI6D6NAN · pith_short_8: 57HRQDDT

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/57HRQDDTQI6D6NANWVSLAX3FSR \
  | 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: efcf180c73823c3f340db564b05f65944f2f6cca89bc87cefc8d5921cebca950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c0d5657e348100d5ab00646fa6bba574766c3d9a45f4a7fd1ca91559c287a6",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-06T19:29:12Z",
    "title_canon_sha256": "016e9212b7cbc37196a968448efcb78b1ef382a6a002216647a3bf61da21ffa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1307",
    "kind": "arxiv",
    "version": 1
  }
}