Pith Number

pith:U5TZ5WZU

pith:2023:U5TZ5WZUJG3ADNIMSONA47G23V

not attested not anchored not stored refs pending

Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture

Houcine Ben Dali, Maciej Do{\l}\k{e}ga

arxiv:2305.07966 v1 · 2023-05-13 · 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{U5TZ5WZUJG3ADNIMSONA47G23V}

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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

$b$-Hurwitz numbers from Whittaker vectors for $\mathcal{W}$-algebras

Macdonald characters from a new formula for Macdonald polynomials

A formula for the Jack super nabla operator

From Experimental Limits to Physical Insight: A Retrieval-Augmented Multi-Agent Framework for Interpreting Searches Beyond the Standard Model

Receipt and verification

First computed	2026-07-05T06:09:56.482225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7679edb3449b601b50c939a0e7cdadd7548324153f4d2c0134b85aa45f44064

Aliases

arxiv: 2305.07966 · arxiv_version: 2305.07966v1 · doi: 10.48550/arxiv.2305.07966 · pith_short_12: U5TZ5WZUJG3A · pith_short_16: U5TZ5WZUJG3ADNIM · pith_short_8: U5TZ5WZU

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/U5TZ5WZUJG3ADNIMSONA47G23V \
  | 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: a7679edb3449b601b50c939a0e7cdadd7548324153f4d2c0134b85aa45f44064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da6b9814dd9cf6b09d3d9af08bc487d221a934e0251fabc1904503cec5c34288",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-13T17:00:02Z",
    "title_canon_sha256": "3a08a964d7931267d3fab2354c6c7ad7bc014d69a2875252bbaab243d47bbd5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.07966",
    "kind": "arxiv",
    "version": 1
  }
}