Pith Number

pith:52Y7IXK2

pith:2014:52Y7IXK2CL4DAITW3SJ4QUXRGC

not attested not anchored not stored refs pending

A quadratically tight partition bound for classical communication complexity and query complexity

Nisheeth K. Vishnoi, Rahul Jain, Troy Lee

arxiv:1401.4512 v1 · 2014-01-18 · 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{52Y7IXK2CL4DAITW3SJ4QUXRGC}

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	2026-05-18T03:01:45.519449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb1f45d5a12f8302276dc93c852f1309a19680b2873690d7687099b53c844ab

Aliases

arxiv: 1401.4512 · arxiv_version: 1401.4512v1 · doi: 10.48550/arxiv.1401.4512 · pith_short_12: 52Y7IXK2CL4D · pith_short_16: 52Y7IXK2CL4DAITW · pith_short_8: 52Y7IXK2

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/52Y7IXK2CL4DAITW3SJ4QUXRGC \
  | 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: eeb1f45d5a12f8302276dc93c852f1309a19680b2873690d7687099b53c844ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "931db1dafc915fde32bfa619750d1942b8aa8829f1466dbefd4b929baac33a77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-01-18T02:39:29Z",
    "title_canon_sha256": "144f8b153da72bcd113d3f61b0c88ebdb975d18c988c3cccb87e657df60b9c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4512",
    "kind": "arxiv",
    "version": 1
  }
}