Pith Number

pith:EJCEKIRQ

pith:2026:EJCEKIRQIG3AYYRVAUFPU5IUFW

not attested not anchored not stored refs pending

Simplex faces and quadratic toric ideals of lattice polytopes

Aki Mori, Hidefumi Ohsugi

arxiv:2606.20430 v1 · 2026-06-18 · 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{EJCEKIRQIG3AYYRVAUFPU5IUFW}

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	2026-06-19T16:13:12.249047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

224445223041b60c6235050afa75142daa53f8f90b49bcdaccf79c7bd2fd6a8b

Aliases

arxiv: 2606.20430 · arxiv_version: 2606.20430v1 · doi: 10.48550/arxiv.2606.20430 · pith_short_12: EJCEKIRQIG3A · pith_short_16: EJCEKIRQIG3AYYRV · pith_short_8: EJCEKIRQ

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/EJCEKIRQIG3AYYRVAUFPU5IUFW \
  | 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: 224445223041b60c6235050afa75142daa53f8f90b49bcdaccf79c7bd2fd6a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a854f972da6950d8ae74f23d1b5e785daf75b7c87a39a08fe7530fa8ed99ce77",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-18T16:10:05Z",
    "title_canon_sha256": "954d872c742e15f0aeafcf709c8a4186982a41dba9aef3aff3f0241480f41c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20430",
    "kind": "arxiv",
    "version": 1
  }
}