Pith Number

pith:AQKY2TAY

pith:2025:AQKY2TAY5LQMAHR7XIEADBGGW5

not attested not anchored not stored refs pending

The inverse $Z$-polynomial of a matroid

Alice L. L. Gao, Matthew H. Y. Xie, Xuan Ruan

arxiv:2507.01332 v1 · 2025-07-02 · 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{AQKY2TAY5LQMAHR7XIEADBGGW5}

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

2 papers in Pith

Dual Chow polynomials of matroids and posets

Inverse Kazhdan--Lusztig polynomials of fan matroids

Receipt and verification

First computed	2026-07-05T11:30:46.977095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04158d4c18eae0c01e3fba080184c6b75421fe3ce01477cc95c4830f482a410c

Aliases

arxiv: 2507.01332 · arxiv_version: 2507.01332v1 · doi: 10.48550/arxiv.2507.01332 · pith_short_12: AQKY2TAY5LQM · pith_short_16: AQKY2TAY5LQMAHR7 · pith_short_8: AQKY2TAY

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/AQKY2TAY5LQMAHR7XIEADBGGW5 \
  | 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: 04158d4c18eae0c01e3fba080184c6b75421fe3ce01477cc95c4830f482a410c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2df5aa68e3e2ddb8bc60b57da7bafcc071b9f8fa62b2295e4e34329ad6b8b01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-02T03:46:34Z",
    "title_canon_sha256": "e8b3a7aa2fc9e023caf1f7a4164625be518386b5037102bbee6a2553d16e111c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01332",
    "kind": "arxiv",
    "version": 1
  }
}