Pith Number

pith:OPJEPGDV

pith:2025:OPJEPGDVAD4CNUC7D4VVJOGJ6F

not attested not anchored not stored refs pending

Examples of IDP lattice polytopes with non-log-concave $h^*$-vector

Benjamin Nill, Johannes Hofscheier, Vadym Kurylenko

arxiv:2505.18896 v1 · 2025-05-24 · 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{OPJEPGDVAD4CNUC7D4VVJOGJ6F}

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.

Cited by

1 paper in Pith

Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem

Receipt and verification

First computed	2026-07-05T11:09:21.505795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d247987500f826d05f1f2b54b8c9f1655a10b0efa3a19342b472b1bb3578a0

Aliases

arxiv: 2505.18896 · arxiv_version: 2505.18896v1 · doi: 10.48550/arxiv.2505.18896 · pith_short_12: OPJEPGDVAD4C · pith_short_16: OPJEPGDVAD4CNUC7 · pith_short_8: OPJEPGDV

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/OPJEPGDVAD4CNUC7D4VVJOGJ6F \
  | 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: 73d247987500f826d05f1f2b54b8c9f1655a10b0efa3a19342b472b1bb3578a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f7abd0c95ca34a47719fa624104fc211734e64c8f2c54d54fcd166295ff2d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-24T22:56:58Z",
    "title_canon_sha256": "f283080b5ddecedde0a97c4225f3c7c2623999ea02bcfabb4d51a86a543c9ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18896",
    "kind": "arxiv",
    "version": 1
  }
}