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Pith Number

pith:4ILS2M2Y

pith:2005:4ILS2M2YBS5FDFE5NKMPNMAYQJ
not attested not anchored not stored refs pending

On environment-assisted capacities of quantum channels

Andreas Winter

arxiv:quant-ph/0507045 v1 · 2005-07-05 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4ILS2M2YBS5FDFE5NKMPNMAYQJ}

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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

Receipt and verification
First computed 2026-05-18T00:39:07.463405Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e2172d33580cba51949d6a98f6b018825e4a5ded8c6835dc7a601799e6dd95cc

Aliases

arxiv: quant-ph/0507045 · arxiv_version: quant-ph/0507045v1 · doi: 10.48550/arxiv.quant-ph/0507045 · pith_short_12: 4ILS2M2YBS5F · pith_short_16: 4ILS2M2YBS5FDFE5 · pith_short_8: 4ILS2M2Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ILS2M2YBS5FDFE5NKMPNMAYQJ \
  | 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: e2172d33580cba51949d6a98f6b018825e4a5ded8c6835dc7a601799e6dd95cc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1f1ddf8a0c3a04ca75d813ec99cf3dfec30e8f95dab3e9ed78d793f0267742cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-07-05T16:09:14Z",
    "title_canon_sha256": "a9f3b2059d17d3d2b5efede5586a61df5ed5f68b607c912df498c3f92ae10e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0507045",
    "kind": "arxiv",
    "version": 1
  }
}