Pith Number

pith:YHUCY7US

pith:2014:YHUCY7USJX5CXO5VG7KCL3EHCZ

not attested not anchored not stored refs pending

Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence

Ghislain Fourier

arxiv:1410.8744 v2 · 2014-10-31 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHUCY7USJX5CXO5VG7KCL3EHCZ}

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	2026-05-18T01:37:23.327236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e82c7e924dfa2bbbb537d425ec871674b9ac39ba467def97e6204965cbf171

Aliases

arxiv: 1410.8744 · arxiv_version: 1410.8744v2 · doi: 10.48550/arxiv.1410.8744 · pith_short_12: YHUCY7USJX5C · pith_short_16: YHUCY7USJX5CXO5V · pith_short_8: YHUCY7US

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/YHUCY7USJX5CXO5VG7KCL3EHCZ \
  | 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: c1e82c7e924dfa2bbbb537d425ec871674b9ac39ba467def97e6204965cbf171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da8d6bcc33e9d0bab057581d5c260e017ca566dadbd2ea70b6011c250e0a6948",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-31T14:15:15Z",
    "title_canon_sha256": "0f55184c8bc96858c1e7a91eae3a2abebe59dd53a8339233a1b1aeeafb0b4b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8744",
    "kind": "arxiv",
    "version": 2
  }
}