Pith Number

pith:Q2OTA3UT

pith:2014:Q2OTA3UTMYKRXYKFMD4N7XRNJR

not attested not anchored not stored refs pending

The square root rank of the correlation polytope is exponential

Troy Lee, Zhaohui Wei

arxiv:1411.6712 v1 · 2014-11-25 · cs.CC · 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{Q2OTA3UTMYKRXYKFMD4N7XRNJR}

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	2026-05-18T02:32:47.519308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869d306e9366151be14560f8dfde2d4c789c3829f4a01e7f46995af1d4efcfe5

Aliases

arxiv: 1411.6712 · arxiv_version: 1411.6712v1 · doi: 10.48550/arxiv.1411.6712 · pith_short_12: Q2OTA3UTMYKR · pith_short_16: Q2OTA3UTMYKRXYKF · pith_short_8: Q2OTA3UT

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/Q2OTA3UTMYKRXYKFMD4N7XRNJR \
  | 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: 869d306e9366151be14560f8dfde2d4c789c3829f4a01e7f46995af1d4efcfe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2cf228577e2803d020d532ece9e8b49a089df0169f8d71115cd01bd9a18cd9d",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-11-25T03:08:40Z",
    "title_canon_sha256": "af173fd611040f6823f203de13725e5703653ebf0a5a72c0689915d45ae43188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6712",
    "kind": "arxiv",
    "version": 1
  }
}