Pith Number

pith:ZNCEFJXQ

pith:2026:ZNCEFJXQCLYXZIBJPOF6FX73UG

not attested not anchored not stored refs pending

A Counterexample to Ziegler's Cross-Polytope Conjecture for Simplicial 0/1-Polytopes

Sebastian Pokutta, Volker Kaibel

arxiv:2606.31640 v1 · 2026-06-30 · 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{ZNCEFJXQCLYXZIBJPOF6FX73UG}

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	2026-07-01T01:18:10.265090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb4442a6f012f17ca0297b8be2dffba1814078fab6065822ae068f89582f9225

Aliases

arxiv: 2606.31640 · arxiv_version: 2606.31640v1 · doi: 10.48550/arxiv.2606.31640 · pith_short_12: ZNCEFJXQCLYX · pith_short_16: ZNCEFJXQCLYXZIBJ · pith_short_8: ZNCEFJXQ

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/ZNCEFJXQCLYXZIBJPOF6FX73UG \
  | 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: cb4442a6f012f17ca0297b8be2dffba1814078fab6065822ae068f89582f9225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15f3bf57dcf6a79a7f7a849e4b8fdadef2ffba91a7d4ade1cb865da01f90934",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-30T13:21:48Z",
    "title_canon_sha256": "cff6e8d0dea94f1bd28230f7b00396955c7d222a3b7ba9bbd9916c4e303fb263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31640",
    "kind": "arxiv",
    "version": 1
  }
}