Pith Number

pith:Z5654JFO

pith:2026:Z5654JFO6Z6Y7E2HP5PBALTIQR

not attested not anchored not stored refs pending

A Modified Greaves--Jing--Zhu Operator and a Shifted $t$-Gessel Formula

S.-J. Lee

arxiv:2606.22058 v1 · 2026-06-20 · 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{Z5654JFO6Z6Y7E2HP5PBALTIQR}

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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

4 papers in Pith

A Shifted $t$-Schur Weight from the Modified Odd Operator

A Two-Color Lift of the Shifted $t$-Schur Measure

Mixed Products of Modified Greaves--Jing--Zhu Operators

Transition Matrices between Shifted $t$-Schur Bases and Cyclotomic Schur $Q$-Positivity

Receipt and verification

First computed	2026-06-23T02:13:06.653342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7dde24aef67d8f93477f5e102e688462ed02eb4879441aaed2ec5b8a5c2af1

Aliases

arxiv: 2606.22058 · arxiv_version: 2606.22058v1 · doi: 10.48550/arxiv.2606.22058 · pith_short_12: Z5654JFO6Z6Y · pith_short_16: Z5654JFO6Z6Y7E2H · pith_short_8: Z5654JFO

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/Z5654JFO6Z6Y7E2HP5PBALTIQR \
  | 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: cf7dde24aef67d8f93477f5e102e688462ed02eb4879441aaed2ec5b8a5c2af1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b7887e13ca871749f34e3c335d89c376f62cf008e5542fb0b645d0c623082fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-20T14:17:56Z",
    "title_canon_sha256": "7a3c16d59e5f3cf0aa50d74f481d5592f33d4445194c1996d2daafc19eeeb411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22058",
    "kind": "arxiv",
    "version": 1
  }
}