Pith Number

pith:5Y6ONYRY

pith:2025:5Y6ONYRYO77ISB4S46XYZJLLYL

not attested not anchored not stored refs pending

On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture

Anton Mellit, Joshua Jeishing Wen, Kevin Weigl, Marino Romero, Sean T. Griffin

arxiv:2504.06936 v1 · 2025-04-09 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Y6ONYRYO77ISB4S46XYZJLLYL}

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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

Chromatic symmetric functions of claw-free graphs are not Schur positive

Receipt and verification

First computed	2026-07-05T10:46:48.820413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3ce6e23877fe890792e7af8ca56bc2ef873f8f6a37ae33effe4cc4b65658dc

Aliases

arxiv: 2504.06936 · arxiv_version: 2504.06936v1 · doi: 10.48550/arxiv.2504.06936 · pith_short_12: 5Y6ONYRYO77I · pith_short_16: 5Y6ONYRYO77ISB4S · pith_short_8: 5Y6ONYRY

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/5Y6ONYRYO77ISB4S46XYZJLLYL \
  | 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: ee3ce6e23877fe890792e7af8ca56bc2ef873f8f6a37ae33effe4cc4b65658dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83eb412029aca032978ac7bbdae11f7dea2fc9e0225a84ebcb66fddd1dc631ee",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-09T14:41:20Z",
    "title_canon_sha256": "ac65de854624e154874312d0c4ecabc588b255eb7bc36b0a277e0f85153c3d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.06936",
    "kind": "arxiv",
    "version": 1
  }
}