Pith Number

pith:RNA3OE4J

pith:2013:RNA3OE4JUKGTT6WTGPY55N5YNE

not attested not anchored not stored refs pending

A Short Proof that the Extension Complexity of the Correlation Polytope Grows Exponentially

Stefan Weltge, Volker Kaibel

arxiv:1307.3543 v6 · 2013-07-12 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNA3OE4JUKGTT6WTGPY55N5YNE}

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	2026-05-18T01:20:02.186202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b41b71389a28d39fad333f1deb7b869168a96e8f3627f0882ee5384f741faf5

Aliases

arxiv: 1307.3543 · arxiv_version: 1307.3543v6 · doi: 10.48550/arxiv.1307.3543 · pith_short_12: RNA3OE4JUKGT · pith_short_16: RNA3OE4JUKGTT6WT · pith_short_8: RNA3OE4J

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/RNA3OE4JUKGTT6WTGPY55N5YNE \
  | 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: 8b41b71389a28d39fad333f1deb7b869168a96e8f3627f0882ee5384f741faf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721d4b19c9569210a0f6716002ef3b183bdb74eb577cd9777dba16a66142cfba",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-12T19:23:30Z",
    "title_canon_sha256": "40bba10db43c3f345eae459b04cd3416768fa84932c080788801b87e57195257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3543",
    "kind": "arxiv",
    "version": 6
  }
}