Pith Number

pith:27OXZUD2

pith:2026:27OXZUD2HCDQ5LMDZIOK4DY7JC

not attested not anchored not stored refs pending

Classical codes violate the conjectured square-root bound for quantum random access codes

Kangqiao Liu

arxiv:2607.15617 v1 · 2026-07-17 · 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{27OXZUD2HCDQ5LMDZIOK4DY7JC}

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	2026-07-20T01:19:00.484040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dd7cd07a38870ead83ca1cae0f1f488a09e113910bf5edeb9ab4f49d71401a

Aliases

arxiv: 2607.15617 · arxiv_version: 2607.15617v1 · doi: 10.48550/arxiv.2607.15617 · pith_short_12: 27OXZUD2HCDQ · pith_short_16: 27OXZUD2HCDQ5LMD · pith_short_8: 27OXZUD2

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/27OXZUD2HCDQ5LMDZIOK4DY7JC \
  | 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: d7dd7cd07a38870ead83ca1cae0f1f488a09e113910bf5edeb9ab4f49d71401a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e716d6f635ecbec01c5270e320c83b634713290fe5d9f0ac8c175ea36388983e",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-17T04:31:15Z",
    "title_canon_sha256": "ffeb7ddbf48a56d592f3baa658ab5a9d51ff6b044f03a765021c89071149c62b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15617",
    "kind": "arxiv",
    "version": 1
  }
}