Pith Number

pith:3HRURC47

pith:2023:3HRURC473VWKNYCDGRRTT3DGLF

not attested not anchored not stored refs pending

Computing the $q$-Multiplicity of the Positive Roots of $\mathfrak{sl}_{r+1}(\mathbb{C})$ and Products of Fibonacci Numbers

Kimberly J. Harry

arxiv:2312.09986 v2 · 2023-12-15 · 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{3HRURC473VWKNYCDGRRTT3DGLF}

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	2026-07-05T08:55:32.639425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e3488b9fdd6ca6e043346339ec665969c85a34b1e84e0c9832e695dbfb5653

Aliases

arxiv: 2312.09986 · arxiv_version: 2312.09986v2 · doi: 10.48550/arxiv.2312.09986 · pith_short_12: 3HRURC473VWK · pith_short_16: 3HRURC473VWKNYCD · pith_short_8: 3HRURC47

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/3HRURC473VWKNYCDGRRTT3DGLF \
  | 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: d9e3488b9fdd6ca6e043346339ec665969c85a34b1e84e0c9832e695dbfb5653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29b0532a459949e694902bd3652166a4997e30222f754d2e8a5b1f3821792a8f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-12-15T17:58:26Z",
    "title_canon_sha256": "86365c240ec9734bb3bbdfb6f93367a7ef01eccce105960caf82e20b992892a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.09986",
    "kind": "arxiv",
    "version": 2
  }
}