Pith Number

pith:MCLZER5R

pith:2015:MCLZER5RPZBINPHOCHE6HXQFDO

not attested not anchored not stored refs pending

Sum of Squares Lower Bounds from Pairwise Independence

Boaz Barak, Pravesh Kothari, Siu On Chan

arxiv:1501.00734 v2 · 2015-01-04 · 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{MCLZER5RPZBINPHOCHE6HXQFDO}

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	2026-05-18T02:20:12.292132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60979247b17e4286bcee11c9e3de051b97e8a344eb03e25fd6e057e5c8f966dc

Aliases

arxiv: 1501.00734 · arxiv_version: 1501.00734v2 · doi: 10.48550/arxiv.1501.00734 · pith_short_12: MCLZER5RPZBI · pith_short_16: MCLZER5RPZBINPHO · pith_short_8: MCLZER5R

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/MCLZER5RPZBINPHOCHE6HXQFDO \
  | 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: 60979247b17e4286bcee11c9e3de051b97e8a344eb03e25fd6e057e5c8f966dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b520abf252bbbaa02b82122c1ac90ac80edc8941ff72989821289da87a9030b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-01-04T23:27:12Z",
    "title_canon_sha256": "b6ccee5c0c279513748022cd172e9b887ab32cf1a4d86f80a62d1b02bcbcc143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00734",
    "kind": "arxiv",
    "version": 2
  }
}