Pith Number

pith:LZVPOBDG

pith:2026:LZVPOBDGXQV73E3AF76QSHPBFR

not attested not anchored not stored refs pending

Gap-Majority Lemmas in Communication Complexity

Huacheng Yu, Pachara Sawettamalya

arxiv:2607.07396 v1 · 2026-07-08 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZVPOBDGXQV73E3AF76QSHPBFR}

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	2026-07-09T01:20:23.840795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e6af70466bc2bfd93602ffd091de12c7e0169f49afb4f135a0eb2c7a3654749

Aliases

arxiv: 2607.07396 · arxiv_version: 2607.07396v1 · doi: 10.48550/arxiv.2607.07396 · pith_short_12: LZVPOBDGXQV7 · pith_short_16: LZVPOBDGXQV73E3A · pith_short_8: LZVPOBDG

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/LZVPOBDGXQV73E3AF76QSHPBFR \
  | 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: 5e6af70466bc2bfd93602ffd091de12c7e0169f49afb4f135a0eb2c7a3654749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a3c16cfeef7c55a77fe0e4311d20d50836200b8f621c17a05984e0f9807ed3",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-07-08T13:32:29Z",
    "title_canon_sha256": "018d071987cc31b06b8198e99675c1b23907696809b5ae17cdf2a2ba7d047868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07396",
    "kind": "arxiv",
    "version": 1
  }
}