Pith Number

pith:3IQIUZNN

pith:2020:3IQIUZNNQFZPDZCEUQN7MHQMPS

not attested not anchored not stored refs pending

Log-concavity of matroid h-vectors and mixed Eulerian numbers

Andrew Berget, Dennis Tseng, Hunter Spink

arxiv:2005.01937 v3 · 2020-05-05 · math.AG · 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{3IQIUZNNQFZPDZCEUQN7MHQMPS}

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

Order polytopes of generalized snake posets are $h^*$-real-rooted

Receipt and verification

First computed	2026-07-05T05:54:03.340366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da208a65ad8172f1e444a41bf61e0c7ca223224a098987f4e9359dcc83f34995

Aliases

arxiv: 2005.01937 · arxiv_version: 2005.01937v3 · doi: 10.48550/arxiv.2005.01937 · pith_short_12: 3IQIUZNNQFZP · pith_short_16: 3IQIUZNNQFZPDZCE · pith_short_8: 3IQIUZNN

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/3IQIUZNNQFZPDZCEUQN7MHQMPS \
  | 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: da208a65ad8172f1e444a41bf61e0c7ca223224a098987f4e9359dcc83f34995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0645223c1aaea4a21a602b3bae510edaec3d5921e0a56fefe28f2f718dff4414",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-05-05T04:06:25Z",
    "title_canon_sha256": "ff8b7da97cda059042d0b59c5992caca0d9091d026cec9044e5620cd2ce45f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.01937",
    "kind": "arxiv",
    "version": 3
  }
}