Pith Number

pith:E6TIUFZQ

pith:2021:E6TIUFZQT3M6UGDN6RHZ3TESBK

not attested not anchored not stored refs pending

Tight Bounds for the Randomized and Quantum Communication Complexities of Equality with Small Error

Nikhil S. Mande, Olivier Lalonde, Ronald de Wolf

arxiv:2107.11806 v2 · 2021-07-25 · 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{E6TIUFZQT3M6UGDN6RHZ3TESBK}

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.

Cited by

1 paper in Pith

Complexity of Contextuality

Receipt and verification

First computed	2026-07-05T07:01:55.926089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a68a17309ed9ea186df44f9dcc920a97878656764eef0aef6afaa6681b74d4

Aliases

arxiv: 2107.11806 · arxiv_version: 2107.11806v2 · doi: 10.48550/arxiv.2107.11806 · pith_short_12: E6TIUFZQT3M6 · pith_short_16: E6TIUFZQT3M6UGDN · pith_short_8: E6TIUFZQ

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/E6TIUFZQT3M6UGDN6RHZ3TESBK \
  | 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: 27a68a17309ed9ea186df44f9dcc920a97878656764eef0aef6afaa6681b74d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "066e3d0ce174a6abd272dc9f7a865fb5fd8de85321565259309547cf3b6ecf2d",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-07-25T13:52:42Z",
    "title_canon_sha256": "c8c6abf6cdf5f9c4cdd9cc2810d5bfe47af5cf00017e33c464f8ccb4a46e18d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11806",
    "kind": "arxiv",
    "version": 2
  }
}