Pith Number

pith:LHQIWS7R

pith:2015:LHQIWS7R67EDHPDMCSVDBMAN7C

not attested not anchored not stored refs pending

Sum-of-squares lower bounds for planted clique

Aaron Potechin, Avi Wigderson, Raghu Meka

arxiv:1503.06447 v1 · 2015-03-22 · cs.CC · cs.DS · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHQIWS7R67EDHPDMCSVDBMAN7C}

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	2026-05-18T02:20:38.379790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e08b4bf1f7c833bc6c14aa30b00df8af1d7cc5c3b79a5b5249a890a0d704e4

Aliases

arxiv: 1503.06447 · arxiv_version: 1503.06447v1 · doi: 10.48550/arxiv.1503.06447 · pith_short_12: LHQIWS7R67ED · pith_short_16: LHQIWS7R67EDHPDM · pith_short_8: LHQIWS7R

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/LHQIWS7R67EDHPDMCSVDBMAN7C \
  | 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: 59e08b4bf1f7c833bc6c14aa30b00df8af1d7cc5c3b79a5b5249a890a0d704e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8561bd6dd9d5b478b4b07fcf43a093f3df0759512b258e0ca88b8186b1baa930",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-03-22T17:48:28Z",
    "title_canon_sha256": "02b94ad73d88c94eaf4d1fcb07f4d8a37bc8b4ecbac93648851c48de7abff36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06447",
    "kind": "arxiv",
    "version": 1
  }
}