Pith Number

pith:LHMPHLCV

pith:2014:LHMPHLCVH6WIEV2J2H5MSJRWSR

not attested not anchored not stored refs pending

A simpler formula for the number of diagonal inversions of an (m,n)-Parking Function and a returning Fermionic formula

Angela Hicks, Emily Leven

arxiv:1404.4889 v2 · 2014-04-18 · 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{LHMPHLCVH6WIEV2J2H5MSJRWSR}

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	2026-05-18T02:46:05.992205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d8f3ac553fac825749d1fac9263694499b3cb7dceec6cf951f4e967f9eb2a9

Aliases

arxiv: 1404.4889 · arxiv_version: 1404.4889v2 · doi: 10.48550/arxiv.1404.4889 · pith_short_12: LHMPHLCVH6WI · pith_short_16: LHMPHLCVH6WIEV2J · pith_short_8: LHMPHLCV

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/LHMPHLCVH6WIEV2J2H5MSJRWSR \
  | 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: 59d8f3ac553fac825749d1fac9263694499b3cb7dceec6cf951f4e967f9eb2a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5feb806027cd393e44ad5dfdeb480389ab6cce88585bebc65d4bb203bd8da5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-18T21:16:25Z",
    "title_canon_sha256": "d59f851b423c65a06dedef1d7f40fe3d3b45a667c572fee800625f02312ae099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4889",
    "kind": "arxiv",
    "version": 2
  }
}