Pith Number

pith:2OGC3TAW

pith:2025:2OGC3TAWCVPUVRMRQGXO7AIHHV

not attested not anchored not stored refs pending

Communication Complexity is NP-hard

Bruno Loff, Rahul Ilango, Shuichi Hirahara

arxiv:2507.10426 v1 · 2025-07-14 · 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{2OGC3TAWCVPUVRMRQGXO7AIHHV}

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

Computationally Efficient Collaborative Communication Via Regularity-Based Coarsening

Receipt and verification

First computed	2026-07-05T11:36:51.126047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d38c2dcc16155f4ac59181aeef81073d454ddfe7ffc8cea1c135ed7a2471fb91

Aliases

arxiv: 2507.10426 · arxiv_version: 2507.10426v1 · doi: 10.48550/arxiv.2507.10426 · pith_short_12: 2OGC3TAWCVPU · pith_short_16: 2OGC3TAWCVPUVRMR · pith_short_8: 2OGC3TAW

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/2OGC3TAWCVPUVRMRQGXO7AIHHV \
  | 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: d38c2dcc16155f4ac59181aeef81073d454ddfe7ffc8cea1c135ed7a2471fb91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c250d8e7f72001580baa7f6450abaabe9c2d90899f8bc400e4de68dff8e06c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-07-14T16:15:54Z",
    "title_canon_sha256": "ffc9a80111263ae2f887006ff45d233d73e9d9d19d95a48512072669806168b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10426",
    "kind": "arxiv",
    "version": 1
  }
}