Pith Number

pith:NO7Q3T6J

pith:2001:NO7Q3T6J2RENQF26R7OUYVNS2V

not attested not anchored not stored refs pending

Lower bounds for quantum communication complexity

Hartmut Klauck

arxiv:quant-ph/0106160 v3 · 2001-06-28 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NO7Q3T6J2RENQF26R7OUYVNS2V}

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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

Quantum Communication Lower Bounds for Search Problems via Matrix Discrepancy

Receipt and verification

First computed	2026-07-04T14:45:39.723951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bbf0dcfc9d448d8175e8fdd4c55b2d54a01cf8f8152dea8c9a127bf59fd002f

Aliases

arxiv: quant-ph/0106160 · arxiv_version: quant-ph/0106160v3 · doi: 10.48550/arxiv.quant-ph/0106160 · pith_short_12: NO7Q3T6J2REN · pith_short_16: NO7Q3T6J2RENQF26 · pith_short_8: NO7Q3T6J

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/NO7Q3T6J2RENQF26R7OUYVNS2V \
  | 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: 6bbf0dcfc9d448d8175e8fdd4c55b2d54a01cf8f8152dea8c9a127bf59fd002f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c313b05fdea76a8fcf24416d39ae2fd6657b2cd2c015aa00b7de67218ce3fa16",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-06-28T19:07:19Z",
    "title_canon_sha256": "961bb0dfe034e614068494759b3fb8426751751e0975e33e29cebb282e426b05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0106160",
    "kind": "arxiv",
    "version": 3
  }
}