Pith Number

pith:CKTYSWTT

pith:2024:CKTYSWTTFQK2CLRWDGAQM3X6R2

not attested not anchored not stored refs pending

Newton polytopes of dual $k$-Schur polynomials

Bo Wang, Candice X.T. Zhang, Zhong-Xue Zhang

arxiv:2401.14632 v1 · 2024-01-26 · 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{CKTYSWTTFQK2CLRWDGAQM3X6R2}

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	2026-07-05T07:37:59.391500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a7895a732c15a12e361981066efe8ebc01ab19e568f2bb6fcfa2d454876d16

Aliases

arxiv: 2401.14632 · arxiv_version: 2401.14632v1 · doi: 10.48550/arxiv.2401.14632 · pith_short_12: CKTYSWTTFQK2 · pith_short_16: CKTYSWTTFQK2CLRW · pith_short_8: CKTYSWTT

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/CKTYSWTTFQK2CLRWDGAQM3X6R2 \
  | 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: 12a7895a732c15a12e361981066efe8ebc01ab19e568f2bb6fcfa2d454876d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c610864f970cc8e43f0ada04a295f4b366a045f8ceaeb86c3122fb01541ea3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-01-26T03:54:15Z",
    "title_canon_sha256": "78c6d68cb965aad2bbbbf1b8556f6b4dd8ab1cc7cdb7768e4474ce88ac8e65be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.14632",
    "kind": "arxiv",
    "version": 1
  }
}