Pith Number

pith:3JRDS533

pith:2018:3JRDS533CBOBOCHPGGCE2PIVEU

not attested not anchored not stored refs pending

Log-Concave Polynomials III: Mason's Ultra-Log-Concavity Conjecture for Independent Sets of Matroids

Cynthia Vinzant, Kuikui Liu, Nima Anari, Shayan Oveis Gharan

arxiv:1811.01600 v1 · 2018-11-05 · math.CO · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JRDS533CBOBOCHPGGCE2PIVEU}

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	2026-05-18T00:01:33.838791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6239777b105c1708ef31844d3d1525272f6a04087de082ecbc11d1f226eba7

Aliases

arxiv: 1811.01600 · arxiv_version: 1811.01600v1 · doi: 10.48550/arxiv.1811.01600 · pith_short_12: 3JRDS533CBOB · pith_short_16: 3JRDS533CBOBOCHP · pith_short_8: 3JRDS533

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/3JRDS533CBOBOCHPGGCE2PIVEU \
  | 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: da6239777b105c1708ef31844d3d1525272f6a04087de082ecbc11d1f226eba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba634a7cfa9e7399a071fe234c7039241b4804287b080cbf4ee9781188cf5b9",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-05T10:44:49Z",
    "title_canon_sha256": "4d440895acc540bc6e1573706d803ac9da72dffad45d662fcd0f2fc34ae8a557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01600",
    "kind": "arxiv",
    "version": 1
  }
}