Pith Number

pith:FIDIXK53

pith:2024:FIDIXK53M3AHYNTC5CGJL6JAFK

not attested not anchored not stored refs pending

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order

Alexander N. Wilson, Esther Banaian, Kimberly J. Harry, Kimberly P. Hadaway, Melanie J. Ferreri, Nicholas Mayers, Owen C. Goff, Pamela E. Harris, Portia X. Anderson, Shiyun Wang

arxiv:2412.16820 v2 · 2024-12-22 · math.RT · 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{FIDIXK53M3AHYNTC5CGJL6JAFK}

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	2026-07-05T11:53:43.368608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a068babbb66c07c3662e88c95f9202a8acf2354d606e5fee8af34206842ab8f

Aliases

arxiv: 2412.16820 · arxiv_version: 2412.16820v2 · doi: 10.48550/arxiv.2412.16820 · pith_short_12: FIDIXK53M3AH · pith_short_16: FIDIXK53M3AHYNTC · pith_short_8: FIDIXK53

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/FIDIXK53M3AHYNTC5CGJL6JAFK \
  | 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: 2a068babbb66c07c3662e88c95f9202a8acf2354d606e5fee8af34206842ab8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97622c4f30233a5ea2527576c5b652b45c754697518ec32e5cbd3946b12de49c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-12-22T01:46:30Z",
    "title_canon_sha256": "845af750e7ac9a6e95b6ea6dbcf655179ed8b32fcbe0efe7d372f9000a9bd03c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16820",
    "kind": "arxiv",
    "version": 2
  }
}