Pith Number

pith:4WYSTBIE

pith:2025:4WYSTBIEZZFQH6CU5JHJPR4PR3

not attested not anchored not stored refs pending

Alternating dual Pieri rule conjecture and $k$-branching conjecture of closed $k$-Schur Katalan functions

Xing Gao, Yaozhou Fang

arxiv:2501.04200 v1 · 2025-01-08 · 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{4WYSTBIEZZFQH6CU5JHJPR4PR3}

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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

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture

Receipt and verification

First computed	2026-07-05T09:58:31.563852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b1298504ce4b03f854ea4e97c78f8ec4f8a2e78e9d96eee9618b4807db9452

Aliases

arxiv: 2501.04200 · arxiv_version: 2501.04200v1 · doi: 10.48550/arxiv.2501.04200 · pith_short_12: 4WYSTBIEZZFQ · pith_short_16: 4WYSTBIEZZFQH6CU · pith_short_8: 4WYSTBIE

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/4WYSTBIEZZFQH6CU5JHJPR4PR3 \
  | 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: e5b1298504ce4b03f854ea4e97c78f8ec4f8a2e78e9d96eee9618b4807db9452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79087363dd4cbda05a28c95a13958781db2327585c3fdd18263fb8781f3a83c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-08T00:31:53Z",
    "title_canon_sha256": "a9d312ea85e5bf95c468a4818cd6a783e879be13699c7d1a083de6c5b712490b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04200",
    "kind": "arxiv",
    "version": 1
  }
}