Pith Number

pith:KXF7Y7G4

pith:2020:KXF7Y7G4ZT5MMJQEYY7RX3CHNH

not attested not anchored not stored refs pending

A Strong XOR Lemma for Randomized Query Complexity

Hariharan Srinivasulu, Jae Tak Kim, Joshua Brody, Peem Lerdputtipongporn

arxiv:2007.05580 v2 · 2020-07-10 · 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{KXF7Y7G4ZT5MMJQEYY7RX3CHNH}

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

Gap-Majority Lemmas in Communication Complexity

Receipt and verification

First computed	2026-07-05T01:20:20.310430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55cbfc7cdcccfac62604c63f1bec4769ec35bc7ed5f31b2dcc1a0bdba7130a47

Aliases

arxiv: 2007.05580 · arxiv_version: 2007.05580v2 · doi: 10.48550/arxiv.2007.05580 · pith_short_12: KXF7Y7G4ZT5M · pith_short_16: KXF7Y7G4ZT5MMJQE · pith_short_8: KXF7Y7G4

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/KXF7Y7G4ZT5MMJQEYY7RX3CHNH \
  | 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: 55cbfc7cdcccfac62604c63f1bec4769ec35bc7ed5f31b2dcc1a0bdba7130a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ecc04813371caf31656916daaba2a1594b69aa7905796f03255ee6404f6dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2020-07-10T19:29:52Z",
    "title_canon_sha256": "636814acdcf67d5e18b2aa3afefb28284a74475f91ee6c2f66cc4114c396ef8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.05580",
    "kind": "arxiv",
    "version": 2
  }
}