Pith Number

pith:7B77KMDX

pith:2024:7B77KMDXKEAKNKJ7ISLF6HE3R6

not attested not anchored not stored refs pending

Inevitable Negativity: Additivity Commands Negative Quantum Channel Entropy

Doyeong Kim, Gilad Gour, Goni Yoeli, Guy Shemesh, Takla Nateeboon

arxiv:2406.13823 v2 · 2024-06-19 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7B77KMDXKEAKNKJ7ISLF6HE3R6}

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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

Uncertainty and entropies of classical channels

Receipt and verification

First computed	2026-07-05T11:03:00.774771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87ff530775100a6a93f44965f1c9b8f9487252423909b8b29f2f61c83839096

Aliases

arxiv: 2406.13823 · arxiv_version: 2406.13823v2 · doi: 10.48550/arxiv.2406.13823 · pith_short_12: 7B77KMDXKEAK · pith_short_16: 7B77KMDXKEAKNKJ7 · pith_short_8: 7B77KMDX

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/7B77KMDXKEAKNKJ7ISLF6HE3R6 \
  | 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: f87ff530775100a6a93f44965f1c9b8f9487252423909b8b29f2f61c83839096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b09641ecd0f3d924d62051019e54e266d82d0eec7e4fe8f6690eb0c71ff8035",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-06-19T20:33:17Z",
    "title_canon_sha256": "d23796078667ec72271d00d59b4ab0521bf7aa09e1df1b54006ea2517533f658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.13823",
    "kind": "arxiv",
    "version": 2
  }
}