Pith Number

pith:3L43GK5N

pith:2025:3L43GK5NSDPVZFVBTOAZ5DIE6S

not attested not anchored not stored refs pending

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

Matthew H.Y. Xie, Philip B. Zhang

arxiv:2504.17567 v1 · 2025-04-24 · 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{3L43GK5NSDPVZFVBTOAZ5DIE6S}

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	2026-07-05T10:53:31.278861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf9b32bad90df5c96a19b819e8d04f4b3a6570f1f76d38ddb1d635ee0f6235d

Aliases

arxiv: 2504.17567 · arxiv_version: 2504.17567v1 · doi: 10.48550/arxiv.2504.17567 · pith_short_12: 3L43GK5NSDPV · pith_short_16: 3L43GK5NSDPVZFVB · pith_short_8: 3L43GK5N

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/3L43GK5NSDPVZFVBTOAZ5DIE6S \
  | 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: daf9b32bad90df5c96a19b819e8d04f4b3a6570f1f76d38ddb1d635ee0f6235d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b5d772bcf69396fe58405caefa3b91509d155f1279aaeb0a0fdd4bf5d7be674",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-24T13:58:07Z",
    "title_canon_sha256": "58715cb5758ae5b33668fca28477f5dcb78a884fcef9b116d4ac5c9aefb0dcef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17567",
    "kind": "arxiv",
    "version": 1
  }
}