Pith Number

pith:TKE2NTRQ

pith:2012:TKE2NTRQWD7OBNPHNTYPALY5GP

not attested not anchored not stored refs pending

Not all simplicial polytopes are weakly vertex-decomposable

Jesus A. De Loera, Steven Klee

arxiv:1203.1676 v1 · 2012-03-08 · 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{TKE2NTRQWD7OBNPHNTYPALY5GP}

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	2026-05-18T04:00:37.293773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a89a6ce30b0fee0b5e76cf0f02f1d33f223842acd20f6e9bdc7bb95ef331656

Aliases

arxiv: 1203.1676 · arxiv_version: 1203.1676v1 · doi: 10.48550/arxiv.1203.1676 · pith_short_12: TKE2NTRQWD7O · pith_short_16: TKE2NTRQWD7OBNPH · pith_short_8: TKE2NTRQ

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/TKE2NTRQWD7OBNPHNTYPALY5GP \
  | 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: 9a89a6ce30b0fee0b5e76cf0f02f1d33f223842acd20f6e9bdc7bb95ef331656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4323212e7d9297dcd682d5ba73151f5497d9c5a0d620936f4dec75b15e0fa736",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-08T01:56:17Z",
    "title_canon_sha256": "f02328ef441a8a904edb598c5dc7037aab9494060302b1a1c4c5721b02433b0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1676",
    "kind": "arxiv",
    "version": 1
  }
}