Pith Number

pith:V3V5BKJG

pith:2012:V3V5BKJGKHOAYFKHBHJZ7FNCCA

not attested not anchored not stored refs pending

Unimodular equivalence of order and chain polytopes

Nan Li, Takayuki Hibi

arxiv:1208.4029 v1 · 2012-08-20 · 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{V3V5BKJGKHOAYFKHBHJZ7FNCCA}

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	2026-05-18T03:48:25.435866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeebd0a92651dc0c154709d39f95a2103e7309d8038b5b20c3d9c6f5faab2361

Aliases

arxiv: 1208.4029 · arxiv_version: 1208.4029v1 · doi: 10.48550/arxiv.1208.4029 · pith_short_12: V3V5BKJGKHOA · pith_short_16: V3V5BKJGKHOAYFKH · pith_short_8: V3V5BKJG

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/V3V5BKJGKHOAYFKHBHJZ7FNCCA \
  | 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: aeebd0a92651dc0c154709d39f95a2103e7309d8038b5b20c3d9c6f5faab2361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d581cd4001f1d1cd39ae1045722a4bdfbe0a7ddd05c82c1f43a3623c0bf90a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-20T15:02:56Z",
    "title_canon_sha256": "a68955c053025134ad99735c7ba45eb8579e419cbc300624fa59fa11ed844dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4029",
    "kind": "arxiv",
    "version": 1
  }
}