Pith Number

pith:P6JLFMWA

pith:2013:P6JLFMWA7XFN6U3BUVVT3FGHBJ

not attested not anchored not stored refs pending

Breaking the quadratic barrier for 3-LCCs over the Reals

Avi Wigderson, Shubhangi Saraf, Zeev Dvir

arxiv:1311.5102 v1 · 2013-11-20 · cs.CC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6JLFMWA7XFN6U3BUVVT3FGHBJ}

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	2026-05-18T03:06:41.999359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f92b2b2c0fdcadf5361a56b3d94c70a5be9ffd1a42b79d9a4c7a54e72847254

Aliases

arxiv: 1311.5102 · arxiv_version: 1311.5102v1 · doi: 10.48550/arxiv.1311.5102 · pith_short_12: P6JLFMWA7XFN · pith_short_16: P6JLFMWA7XFN6U3B · pith_short_8: P6JLFMWA

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/P6JLFMWA7XFN6U3BUVVT3FGHBJ \
  | 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: 7f92b2b2c0fdcadf5361a56b3d94c70a5be9ffd1a42b79d9a4c7a54e72847254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfa6a852de55cbe3d0d4d435736747f3fb7060c8e838152f626f6c0b6fbbc870",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-11-20T15:39:38Z",
    "title_canon_sha256": "a65e84006083b92176bd1040e9526f675bda875e8165f81f9f039df1b24c95de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5102",
    "kind": "arxiv",
    "version": 1
  }
}