Pith Number

pith:23A5Z67G

pith:2017:23A5Z67GJLD6W3SCVJUK5NHBF6

not attested not anchored not stored refs pending

Superadditivity in trade-off capacities of quantum channels

Elton Yechao Zhu, Min-Hsiu Hsieh, Peter W. Shor, Quntao Zhuang

arxiv:1708.04314 v2 · 2017-08-14 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23A5Z67GJLD6W3SCVJUK5NHBF6}

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	2026-05-18T00:37:58.403606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c1dcfbe64ac7eb6e42aa68aeb4e12f8db0c22d9aba7dc0893c72df5a698624

Aliases

arxiv: 1708.04314 · arxiv_version: 1708.04314v2 · doi: 10.48550/arxiv.1708.04314 · pith_short_12: 23A5Z67GJLD6 · pith_short_16: 23A5Z67GJLD6W3SC · pith_short_8: 23A5Z67G

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/23A5Z67GJLD6W3SCVJUK5NHBF6 \
  | 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: d6c1dcfbe64ac7eb6e42aa68aeb4e12f8db0c22d9aba7dc0893c72df5a698624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fe326b4383f50602d9630b28733591093410f3ce0a8ef89333ea81be8d8ec40",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-08-14T20:42:49Z",
    "title_canon_sha256": "638fbf224911b5e09afbcf21cbd1e54caca585633c82085946a35a64163bfcf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04314",
    "kind": "arxiv",
    "version": 2
  }
}