Pith Number

pith:JOLJOAY4

pith:2026:JOLJOAY4ARSGBVL5OHD65FTNIW

not attested not anchored not stored refs pending

The Schur positivity of $\nabla m_\mu$

Dun Qiu, Minhao Zhang

arxiv:2607.00940 v1 · 2026-07-01 · 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{JOLJOAY4ARSGBVL5OHD65FTNIW}

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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

Schur positivity of nabla on Petrie symmetric functions

Receipt and verification

First computed	2026-07-02T01:18:24.069524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b9697031c046460d57d71c7ee966d45bfdb6269cff9da9fd1e4c23bc0e73926

Aliases

arxiv: 2607.00940 · arxiv_version: 2607.00940v1 · doi: 10.48550/arxiv.2607.00940 · pith_short_12: JOLJOAY4ARSG · pith_short_16: JOLJOAY4ARSGBVL5 · pith_short_8: JOLJOAY4

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/JOLJOAY4ARSGBVL5OHD65FTNIW \
  | 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: 4b9697031c046460d57d71c7ee966d45bfdb6269cff9da9fd1e4c23bc0e73926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ccd91b85932bfcc99a7e880fba09a320446c75dd446f47e332cec07ce556db8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T13:41:04Z",
    "title_canon_sha256": "11a9ef84952d6aeb7776c0a7f12f5812faa763a2462a2b6cf2c3d7f6e486cc12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00940",
    "kind": "arxiv",
    "version": 1
  }
}