Pith Number

pith:W5P7WWHI

pith:2015:W5P7WWHIQ3FRNVEWRMZIYAWB4M

not attested not anchored not stored refs pending

The numbers of edges of the order polytope and the chain poyltope of a finite partially ordered set

Akihiro Shikama, Nan Li, Takayuki Hibi, Yoshimi Sahara

arxiv:1508.00187 v3 · 2015-08-02 · 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{W5P7WWHIQ3FRNVEWRMZIYAWB4M}

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	2026-05-18T00:58:35.218239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75ffb58e886cb16d4968b328c02c1e32a10cb74d522613877af27956502d760

Aliases

arxiv: 1508.00187 · arxiv_version: 1508.00187v3 · doi: 10.48550/arxiv.1508.00187 · pith_short_12: W5P7WWHIQ3FR · pith_short_16: W5P7WWHIQ3FRNVEW · pith_short_8: W5P7WWHI

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/W5P7WWHIQ3FRNVEWRMZIYAWB4M \
  | 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: b75ffb58e886cb16d4968b328c02c1e32a10cb74d522613877af27956502d760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15cd76e2c2f577fa16272b8ce251b09fe2560dfc3dc79a6bd54559fa1463c2a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-02T04:15:31Z",
    "title_canon_sha256": "1cc3aadef25a2fe88dd77cd5f16132d96ac2179236457f58d3b27dd9ad93795f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00187",
    "kind": "arxiv",
    "version": 3
  }
}