Pith Number

pith:RUQYZDCD

pith:2024:RUQYZDCDYYL64EISFAOWGYVL7V

not attested not anchored not stored refs pending

Sum-of-Squares Lower Bounds for Independent Set in Ultra-Sparse Random Graphs

Aaron Potechin, Jeff Xu, Pravesh Kothari

arxiv:2406.18429 v1 · 2024-06-26 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUQYZDCDYYL64EISFAOWGYVL7V}

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	2026-07-05T08:37:09.103006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d218c8c43c617ee1112281d6362abfd4058c6a88bb65b3aa1ff1caa2ce4efbe

Aliases

arxiv: 2406.18429 · arxiv_version: 2406.18429v1 · doi: 10.48550/arxiv.2406.18429 · pith_short_12: RUQYZDCDYYL6 · pith_short_16: RUQYZDCDYYL64EIS · pith_short_8: RUQYZDCD

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/RUQYZDCDYYL64EISFAOWGYVL7V \
  | 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: 8d218c8c43c617ee1112281d6362abfd4058c6a88bb65b3aa1ff1caa2ce4efbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27be3395c8a5075c5be7d63e25fe587340d1412548c40f080fb697ea90734584",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-06-26T15:26:34Z",
    "title_canon_sha256": "1fb66ee3c7e3b91cc2874e33b0f0a5f23a21925afaec2ebf0c9b5d3f77e19bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18429",
    "kind": "arxiv",
    "version": 1
  }
}