Pith Number

pith:GX7JC2PU

pith:2026:GX7JC2PUNZ67Q3AD3P5R7MNTCJ

not attested not anchored not stored refs pending

Schur positivity of the nabla operator on two-column modified Hall--Littlewood polynomials

Menghao Qu

arxiv:2605.20954 v1 · 2026-05-20 · 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{GX7JC2PUNZ67Q3AD3P5R7MNTCJ}

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	2026-05-21T01:05:29.563787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35fe9169f46e7df86c03dbfb1fb1b3125af9fd5e4370489148b34152dfaf08ba

Aliases

arxiv: 2605.20954 · arxiv_version: 2605.20954v1 · doi: 10.48550/arxiv.2605.20954 · pith_short_12: GX7JC2PUNZ67 · pith_short_16: GX7JC2PUNZ67Q3AD · pith_short_8: GX7JC2PU

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/GX7JC2PUNZ67Q3AD3P5R7MNTCJ \
  | 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: 35fe9169f46e7df86c03dbfb1fb1b3125af9fd5e4370489148b34152dfaf08ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e560e69a896cbbb2dfcfc51270a735cda1af9271891058aee2915fd39c94133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T09:42:14Z",
    "title_canon_sha256": "9b1b6e930670e79660f56786f99dd4aa96cd381f87ccfb5a7dc080766c752ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20954",
    "kind": "arxiv",
    "version": 1
  }
}