Pith Number

pith:OHUOW3PE

pith:2021:OHUOW3PEM6RBALQ3PQMMNR3W3O

not attested not anchored not stored refs pending

On matroid modularity and the coefficients of the inverse Kazhdan-Lusztig polynomial of a matroid

Lorenzo Vecchi

arxiv:2103.08580 v4 · 2021-03-15 · 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{OHUOW3PEM6RBALQ3PQMMNR3W3O}

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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

Log-concavity of inverse Kazhdan-Lusztig polynomials of paving matroids

Receipt and verification

First computed	2026-07-05T02:33:30.824325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e8eb6de467a2102e1b7c18c6c776dbbb0e66bbf9512124d24eb452b96d83a6

Aliases

arxiv: 2103.08580 · arxiv_version: 2103.08580v4 · doi: 10.48550/arxiv.2103.08580 · pith_short_12: OHUOW3PEM6RB · pith_short_16: OHUOW3PEM6RBALQ3 · pith_short_8: OHUOW3PE

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/OHUOW3PEM6RBALQ3PQMMNR3W3O \
  | 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: 71e8eb6de467a2102e1b7c18c6c776dbbb0e66bbf9512124d24eb452b96d83a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4887a46e52d93deff5bb5222c0c5f3cfbcc0540a1bbe0ff7453467402840c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-15T17:47:29Z",
    "title_canon_sha256": "f76950c4537798ef62257d2c8b5dc4e7c0b8e0f0befa7d4a8cba89795ca04db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.08580",
    "kind": "arxiv",
    "version": 4
  }
}