pith. sign in
Pith Number

pith:JQZ4BTMO

pith:2018:JQZ4BTMOTJNSVRGM5PATBMCZSK
not attested not anchored not stored refs pending

When Do Composed Maps Become Entanglement Breaking?

Alexander M\"uller-Hermes, Matthias Christandl, Michael M. Wolf

arxiv:1807.01266 v2 · 2018-07-03 · quant-ph · math-ph · math.FA · math.MP · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JQZ4BTMOTJNSVRGM5PATBMCZSK}

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 2026-05-17T23:43:17.864296Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4c33c0cd8e9a5b2ac4ccebc130b0599283ac1b98a0409b445ec85b4bc6b4b30c

Aliases

arxiv: 1807.01266 · arxiv_version: 1807.01266v2 · doi: 10.48550/arxiv.1807.01266 · pith_short_12: JQZ4BTMOTJNS · pith_short_16: JQZ4BTMOTJNSVRGM · pith_short_8: JQZ4BTMO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JQZ4BTMOTJNSVRGM5PATBMCZSK \
  | 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: 4c33c0cd8e9a5b2ac4ccebc130b0599283ac1b98a0409b445ec85b4bc6b4b30c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d16b8435d3e5546895343b719069abc03d230d32a342ea95d9afb85f0f945a3f",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-07-03T16:25:59Z",
    "title_canon_sha256": "2d9cb62e58e43611c81ed99e54692f05bcd7485514352f1e510c2c999febb4f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01266",
    "kind": "arxiv",
    "version": 2
  }
}