Pith Number

pith:NAVZOWD4

pith:2003:NAVZOWD4MM643SEL5TOGHCLCPS

not attested not anchored not stored refs pending

A vector partition function for the multiplicities of sl_k(C)

Etienne Rassart, Sara Billey, Victor Guillemin

arxiv:math/0307227 v1 · 2003-07-16 · math.CO · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAVZOWD4MM643SEL5TOGHCLCPS}

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	2026-07-04T14:37:36.184311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682b97587c633dcdc88becdc6389627cb72142e6140bf64eac4d6055e450ac62

Aliases

arxiv: math/0307227 · arxiv_version: math/0307227v1 · doi: 10.48550/arxiv.math/0307227 · pith_short_12: NAVZOWD4MM64 · pith_short_16: NAVZOWD4MM643SEL · pith_short_8: NAVZOWD4

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/NAVZOWD4MM643SEL5TOGHCLCPS \
  | 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: 682b97587c633dcdc88becdc6389627cb72142e6140bf64eac4d6055e450ac62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab20a89ef8feafe5c57b5574981d99c04d154da818d0f91fc16f8c6fa8b82809",
    "cross_cats_sorted": [
      "math.RT",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-07-16T15:32:40Z",
    "title_canon_sha256": "58c548fb83ebb371c5a22405bcdd3fb6f947900519c6d4c006b09f32effa0bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307227",
    "kind": "arxiv",
    "version": 1
  }
}