Pith Number

pith:QS36D3W5

pith:2024:QS36D3W5I4C5MP6JYVMIAAYIBG

not attested not anchored not stored refs pending

Geometric invariant theory and stretched Kostka quasi-polynomials

Joshua Kiers, Marc Besson, Sam Jeralds

arxiv:2412.01651 v2 · 2024-12-02 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QS36D3W5I4C5MP6JYVMIAAYIBG}

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	2026-07-05T10:10:09.874141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b7e1eedd4705d63fc9c55880030809bb21695dd09a6b30bf150f50196b2ee4

Aliases

arxiv: 2412.01651 · arxiv_version: 2412.01651v2 · doi: 10.48550/arxiv.2412.01651 · pith_short_12: QS36D3W5I4C5 · pith_short_16: QS36D3W5I4C5MP6J · pith_short_8: QS36D3W5

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/QS36D3W5I4C5MP6JYVMIAAYIBG \
  | 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: 84b7e1eedd4705d63fc9c55880030809bb21695dd09a6b30bf150f50196b2ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0f32734382854f6f212428e3bf190ab0101331f2a1755f1d9b1225cad4dfca",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-12-02T16:01:57Z",
    "title_canon_sha256": "c7a224b56f527e302d7a1413acb1266cbed70161687e23097e809f8f1d8c14ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01651",
    "kind": "arxiv",
    "version": 2
  }
}