Pith Number

pith:EE23OEEQ

pith:2013:EE23OEEQ645XTJ4AKEGDDKZTHM

not attested not anchored not stored refs pending

Association schemes, non-commutative polynomial concentration, and sum-of-squares lower bounds for planted clique

Avi Wigderson, Raghu Meka

arxiv:1307.7615 v3 · 2013-07-29 · 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{EE23OEEQ645XTJ4AKEGDDKZTHM}

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	2026-05-18T03:07:13.919449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2135b71090f73b79a780510c31ab333b04dcca98fd89f032205df05176784001

Aliases

arxiv: 1307.7615 · arxiv_version: 1307.7615v3 · doi: 10.48550/arxiv.1307.7615 · pith_short_12: EE23OEEQ645X · pith_short_16: EE23OEEQ645XTJ4A · pith_short_8: EE23OEEQ

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/EE23OEEQ645XTJ4AKEGDDKZTHM \
  | 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: 2135b71090f73b79a780510c31ab333b04dcca98fd89f032205df05176784001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61417c37145fbc2e9685c5a9fda51784fbc98845617cc8fd7f734a61b383b8a6",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-07-29T15:25:24Z",
    "title_canon_sha256": "0cfb35913a772fd22fd0ef0abc97b53bbb45f3e63112709764aaba45d0effeec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7615",
    "kind": "arxiv",
    "version": 3
  }
}