Pith Number

pith:32T6SPOG

pith:2016:32T6SPOGEI532SYEXYAZFIUHIV

not attested not anchored not stored refs pending

A Nearly Tight Sum-of-Squares Lower Bound for the Planted Clique Problem

Aaron Potechin, Ankur Moitra, Boaz Barak, Jonathan Kelner, Pravesh K. Kothari, Samuel B. Hopkins

arxiv:1604.03084 v2 · 2016-04-11 · 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{32T6SPOGEI532SYEXYAZFIUHIV}

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	2026-05-18T01:17:16.498387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea7e93dc6223bbd4b04be0192a287456a673c10264db2c87910d553705be9c9

Aliases

arxiv: 1604.03084 · arxiv_version: 1604.03084v2 · doi: 10.48550/arxiv.1604.03084 · pith_short_12: 32T6SPOGEI53 · pith_short_16: 32T6SPOGEI532SYE · pith_short_8: 32T6SPOG

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/32T6SPOGEI532SYEXYAZFIUHIV \
  | 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: dea7e93dc6223bbd4b04be0192a287456a673c10264db2c87910d553705be9c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "608baa23ea45dd773f9c60d09413821b0145e68bcdbabde54a648ef1b494cfa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-04-11T19:49:03Z",
    "title_canon_sha256": "292f8b6cc16b27ffe0199c437dae07c4e9a581e2c2b76a51423fc5af5ca8d185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03084",
    "kind": "arxiv",
    "version": 2
  }
}