Pith Number

pith:MCZNTF63

pith:2016:MCZNTF63TFUU4RYJ4R2HTJTBPS

not attested not anchored not stored refs pending

Separations in communication complexity using cheat sheets and information complexity

Aleksandrs Belovs, Anurag Anshu, Mika G\"o\"os, Miklos Santha, Rahul Jain, Robin Kothari, Shalev Ben-David, Troy Lee

arxiv:1605.01142 v2 · 2016-05-04 · 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{MCZNTF63TFUU4RYJ4R2HTJTBPS}

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	2026-05-18T00:34:35.411660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b2d997db99694e4709e47479a6617c96dfaf2b245b263af146317c6fccdd4e

Aliases

arxiv: 1605.01142 · arxiv_version: 1605.01142v2 · doi: 10.48550/arxiv.1605.01142 · pith_short_12: MCZNTF63TFUU · pith_short_16: MCZNTF63TFUU4RYJ · pith_short_8: MCZNTF63

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/MCZNTF63TFUU4RYJ4R2HTJTBPS \
  | 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: 60b2d997db99694e4709e47479a6617c96dfaf2b245b263af146317c6fccdd4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ffc92d1a8b88b98f65595669754c98a3c2de7b127911b6c9362acc17f41dc7",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-05-04T04:42:08Z",
    "title_canon_sha256": "56de1e0c3ae36e68bc7f93512ea5e26753deb11c96fb20b0ea85af1d6c747d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01142",
    "kind": "arxiv",
    "version": 2
  }
}