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Pith Number

pith:P7KCHNTU

pith:2017:P7KCHNTUSVUGQQZI3B6VH6AKRO
not attested not anchored not stored refs pending

Convex approximations of quantum channels

Massimiliano F. Sacchi, Tito Sacchi

arxiv:1709.03805 v1 · 2017-09-12 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P7KCHNTUSVUGQQZI3B6VH6AKRO}

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 2026-05-18T00:35:29.436918Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7fd423b6749568684328d87d53f80a8baea174c07493e092734d6a5a7c828ead

Aliases

arxiv: 1709.03805 · arxiv_version: 1709.03805v1 · doi: 10.48550/arxiv.1709.03805 · pith_short_12: P7KCHNTUSVUG · pith_short_16: P7KCHNTUSVUGQQZI · pith_short_8: P7KCHNTU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P7KCHNTUSVUGQQZI3B6VH6AKRO \
  | 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: 7fd423b6749568684328d87d53f80a8baea174c07493e092734d6a5a7c828ead
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fef9e82c8e7f721a2f714ac07c50b9136f418a238a129714dca3e273eef3e27f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-09-12T12:32:06Z",
    "title_canon_sha256": "9a2ebeaf7d6c4f6d4705e33cdef5a584280e7226a5358b02f3b223499af207e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03805",
    "kind": "arxiv",
    "version": 1
  }
}