Pith Number

pith:W3BF2JY2

pith:2017:W3BF2JY2G2HVJ2A2WVCF7PIZZI

not attested not anchored not stored refs pending

Superadditivity of the Classical Capacity with Limited Entanglement Assistance

Elton Yechao Zhu, Peter W. Shor, Quntao Zhuang

arxiv:1704.06955 v2 · 2017-04-23 · 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{W3BF2JY2G2HVJ2A2WVCF7PIZZI}

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	2026-05-18T00:39:12.309964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6c25d271a368f54e81ab5445fbd19ca2ac31127390a55255e5281308f9131f4

Aliases

arxiv: 1704.06955 · arxiv_version: 1704.06955v2 · doi: 10.48550/arxiv.1704.06955 · pith_short_12: W3BF2JY2G2HV · pith_short_16: W3BF2JY2G2HVJ2A2 · pith_short_8: W3BF2JY2

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/W3BF2JY2G2HVJ2A2WVCF7PIZZI \
  | 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: b6c25d271a368f54e81ab5445fbd19ca2ac31127390a55255e5281308f9131f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4c42831575850b5519a6faf118ac208b662529f717d107d1e22ad8bfece37c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-04-23T17:58:00Z",
    "title_canon_sha256": "c28a90e4245219ec051245e581db95236d9a591f31e94ef2a166aeb3edf14b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06955",
    "kind": "arxiv",
    "version": 2
  }
}