Pith Number

pith:VX5KGALR

pith:2025:VX5KGALREDUBPCIUXWSCDUNSTK

not attested not anchored not stored refs pending

Flagged LLT polynomials, nonsymmetric plethysm, and nonsymmetric Macdonald polynomials

Anna Pun, George H. Seelinger, Jennifer Morse, Jonah Blasiak, Mark Haiman

arxiv:2506.09015 v2 · 2025-06-10 · 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{VX5KGALREDUBPCIUXWSCDUNSTK}

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

The nonsymmetric compositional Delta theorem

Receipt and verification

First computed	2026-07-05T11:44:07.176998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adfaa3017120e8178914bda421d1b29ab98f938e95bad1cd4925216ff13497be

Aliases

arxiv: 2506.09015 · arxiv_version: 2506.09015v2 · doi: 10.48550/arxiv.2506.09015 · pith_short_12: VX5KGALREDUB · pith_short_16: VX5KGALREDUBPCIU · pith_short_8: VX5KGALR

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/VX5KGALREDUBPCIUXWSCDUNSTK \
  | 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: adfaa3017120e8178914bda421d1b29ab98f938e95bad1cd4925216ff13497be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d18f506b930a1cf11b46fe0bac6b1f99a05341ec102d204551fa208610b92d0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-10T17:42:42Z",
    "title_canon_sha256": "73fbdbd1863b6978351085315c1a7f39d8b7efb58d8ae7c10a0d2386f7deff35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09015",
    "kind": "arxiv",
    "version": 2
  }
}