Pith Number

pith:QLCXGGGP

pith:2026:QLCXGGGPGA6RWU4U4DIK5H5JHV

not attested not anchored not stored refs pending

Optimal Average Success Probabilities of Binary $(n,n-1)$ and $(n,n-2)$ Quantum Random Access Codes via a Proof of the Corresponding Conjectured Bound

Shuo Tan, Syed A. Jafar

arxiv:2607.10414 v1 · 2026-07-11 · 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{QLCXGGGPGA6RWU4U4DIK5H5JHV}

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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.

Receipt and verification

First computed	2026-07-14T01:21:14.884373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c57318cf303d1b5394e0d0ae9fa93d7e672c44406e32da2d0f8ff03c03cebc

Aliases

arxiv: 2607.10414 · arxiv_version: 2607.10414v1 · doi: 10.48550/arxiv.2607.10414 · pith_short_12: QLCXGGGPGA6R · pith_short_16: QLCXGGGPGA6RWU4U · pith_short_8: QLCXGGGP

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/QLCXGGGPGA6RWU4U4DIK5H5JHV \
  | 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: 82c57318cf303d1b5394e0d0ae9fa93d7e672c44406e32da2d0f8ff03c03cebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20cf2ee611959eb0fc3b1ef7722d2ea93f0aec6d9046387f1c57b8a6182ea6ed",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-11T17:44:29Z",
    "title_canon_sha256": "d83fd74179ef931912d081e59b348da9d83196e5435569d9a93885958427a89c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10414",
    "kind": "arxiv",
    "version": 1
  }
}