Pith Number

pith:K7UBNROC

pith:2026:K7UBNROCG3EUGANKBIJ7JKUUO4

not attested not anchored not stored refs pending

Symmetric edge polytopes are not gamma-positive

Luis Ferroni

arxiv:2607.02424 v1 · 2026-07-02 · 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{K7UBNROCG3EUGANKBIJ7JKUUO4}

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	2026-07-03T01:17:58.832207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e816c5c236c94301aa0a13f4aa947718019167f89aaa07b33560c3cfb65338

Aliases

arxiv: 2607.02424 · arxiv_version: 2607.02424v1 · doi: 10.48550/arxiv.2607.02424 · pith_short_12: K7UBNROCG3EU · pith_short_16: K7UBNROCG3EUGANK · pith_short_8: K7UBNROC

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/K7UBNROCG3EUGANKBIJ7JKUUO4 \
  | 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: 57e816c5c236c94301aa0a13f4aa947718019167f89aaa07b33560c3cfb65338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752d0db3245f38351234da3355f0e8d888d6884c04377e8ae7e3f2fece763cf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-02T16:52:48Z",
    "title_canon_sha256": "1844b01bec34c95436ba256ab9b13873a5448258886d39da5b644107b7e6ced8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02424",
    "kind": "arxiv",
    "version": 1
  }
}