Pith Number

pith:SKWJHZNF

pith:2003:SKWJHZNFWRNZWLSGAS3H474A2C

not attested not anchored not stored refs pending

A direct sum theorem in communication complexity via message compression

Jaikumar Radhakrishnan, Pranab Sen, Rahul Jain

arxiv:cs/0304020 v2 · 2003-04-12 · 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{SKWJHZNFWRNZWLSGAS3H474A2C}

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	2026-07-04T14:24:31.460323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92ac93e5a5b45b9b2e4604b67e7f80d089ffb6d0421a313653c2606e49174280

Aliases

arxiv: cs/0304020 · arxiv_version: cs/0304020v2 · doi: 10.48550/arxiv.cs/0304020 · pith_short_12: SKWJHZNFWRNZ · pith_short_16: SKWJHZNFWRNZWLSG · pith_short_8: SKWJHZNF

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/SKWJHZNFWRNZWLSGAS3H474A2C \
  | 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: 92ac93e5a5b45b9b2e4604b67e7f80d089ffb6d0421a313653c2606e49174280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47dc04e3a07a26ae2110dbf591b91b17975051b37bbf59f0c4d016a97f87049d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2003-04-12T02:26:26Z",
    "title_canon_sha256": "a529147eea9b78d85289a3369f90d126d3526c2e8bab1406610b298629b85ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0304020",
    "kind": "arxiv",
    "version": 2
  }
}