Pith Number

pith:ADVMDBHK

pith:2010:ADVMDBHKLHKQNCPPB4SMJYAFXS

not attested not anchored not stored refs pending

Strong direct product theorems for quantum communication and query complexity

Alexander A. Sherstov

arxiv:1011.4935 v1 · 2010-11-22 · cs.CC · 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{ADVMDBHKLHKQNCPPB4SMJYAFXS}

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	2026-05-18T04:35:03.838016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00eac184ea59d50689ef0f24c4e005bcb28e3387c27706fabbc975a61c3e3e86

Aliases

arxiv: 1011.4935 · arxiv_version: 1011.4935v1 · doi: 10.48550/arxiv.1011.4935 · pith_short_12: ADVMDBHKLHKQ · pith_short_16: ADVMDBHKLHKQNCPP · pith_short_8: ADVMDBHK

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/ADVMDBHKLHKQNCPPB4SMJYAFXS \
  | 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: 00eac184ea59d50689ef0f24c4e005bcb28e3387c27706fabbc975a61c3e3e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c28aa745a4e166628ceec7b79ef6065cdd88d2c157bd5deecbabc77025ca0a",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-11-22T20:55:58Z",
    "title_canon_sha256": "efd54208abda217b10c145592e1949ffb980a8b56765fe1bed9c1405584ae638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4935",
    "kind": "arxiv",
    "version": 1
  }
}