Pith Number

pith:R463236Z

pith:2021:R463236ZUKRGB3MOCEE2P7W27F

not attested not anchored not stored refs pending

A direct product theorem for quantum communication complexity with applications to device-independent cryptography

Rahul Jain, Srijita Kundu

arxiv:2106.04299 v3 · 2021-06-08 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R463236ZUKRGB3MOCEE2P7W27F}

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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

Maximum Separation of Quantum Communication Complexity With and Without Shared Entanglement

Receipt and verification

First computed	2026-07-05T05:34:41.589844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f3dbd6fd9a2a260ed8e1109a7fedaf9447b549b9bbaba6c2c6856bdbaa7dace

Aliases

arxiv: 2106.04299 · arxiv_version: 2106.04299v3 · doi: 10.48550/arxiv.2106.04299 · pith_short_12: R463236ZUKRG · pith_short_16: R463236ZUKRGB3MO · pith_short_8: R463236Z

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/R463236ZUKRGB3MOCEE2P7W27F \
  | 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: 8f3dbd6fd9a2a260ed8e1109a7fedaf9447b549b9bbaba6c2c6856bdbaa7dace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a6b1358db4962dc3478c896a530c00af67882687391be61fb7e56c3ab2238e",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-06-08T12:52:10Z",
    "title_canon_sha256": "a0c95e8504851540d5bdbf5818d7e720e0ff70722b8395f1321e1af9e708be8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.04299",
    "kind": "arxiv",
    "version": 3
  }
}