Pith Number

pith:2NCKXCNW

pith:2022:2NCKXCNWXK3KAVTMMEUAN6S6RC

not attested not anchored not stored refs pending

$m$-Symmetric functions, non-symmetric Macdonald polynomials and positivity conjectures

Luc Lapointe

arxiv:2206.05177 v2 · 2022-06-10 · 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{2NCKXCNWXK3KAVTMMEUAN6S6RC}

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

Flagged LLT polynomials, nonsymmetric plethysm, and nonsymmetric Macdonald polynomials

Receipt and verification

First computed	2026-07-05T09:58:55.851085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d344ab89b6bab6a0566c612806fa5e88a4b02ba3f7810fa58a7a6f1c0b2ebff8

Aliases

arxiv: 2206.05177 · arxiv_version: 2206.05177v2 · doi: 10.48550/arxiv.2206.05177 · pith_short_12: 2NCKXCNWXK3K · pith_short_16: 2NCKXCNWXK3KAVTM · pith_short_8: 2NCKXCNW

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/2NCKXCNWXK3KAVTMMEUAN6S6RC \
  | 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: d344ab89b6bab6a0566c612806fa5e88a4b02ba3f7810fa58a7a6f1c0b2ebff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e55c02cee796c6d0a2fc6cdf08fe1052f0057061e808d758bafa75c16d14300",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-10T15:13:54Z",
    "title_canon_sha256": "87c3fadaaa05e8c986fad92059ab3ee2f264e417ef13a2d9ba7738109e72feac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05177",
    "kind": "arxiv",
    "version": 2
  }
}