Pith Number

pith:IWE63XPP

pith:2024:IWE63XPPWHHFONNFA32ZZ552JN

not attested not anchored not stored refs pending

A Shifted Parking Function Symmetric Function

Richard P. Stanley

arxiv:2405.02164 v1 · 2024-05-03 · 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{IWE63XPPWHHFONNFA32ZZ552JN}

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

1 paper in Pith

Odd Shifted Parking Functions

Receipt and verification

First computed	2026-07-05T08:15:07.603035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4589edddefb1ce5735a506f59cf7ba4b5ee88cf0712d73b86e92d5857769bcaf

Aliases

arxiv: 2405.02164 · arxiv_version: 2405.02164v1 · doi: 10.48550/arxiv.2405.02164 · pith_short_12: IWE63XPPWHHF · pith_short_16: IWE63XPPWHHFONNF · pith_short_8: IWE63XPP

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/IWE63XPPWHHFONNFA32ZZ552JN \
  | 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: 4589edddefb1ce5735a506f59cf7ba4b5ee88cf0712d73b86e92d5857769bcaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99a4affda29de621242f3782ed7aa40ef993680d17052ad24e8acdbb66523eff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-03T15:13:12Z",
    "title_canon_sha256": "2446c2e42bc6fdcd4672556bb8ee541d98a4e1dc3c7a5abf190be7ad2396b1c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.02164",
    "kind": "arxiv",
    "version": 1
  }
}