Pith Number

pith:DXWDCG4V

pith:2013:DXWDCG4V2J2RZSZJSWAAWFFDL3

not attested not anchored not stored refs pending

An Elementary Approach to Weight Multiplicities in Bivariate Irreducible Representations of Sp(2r)

Julia Maddox

arxiv:1303.0359 v2 · 2013-03-02 · 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{DXWDCG4V2J2RZSZJSWAAWFFDL3}

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	2026-05-18T03:18:42.353711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dec311b95d2751ccb2995800b14a35ed6b314e5c44f172dbf88b7c48e9d8697

Aliases

arxiv: 1303.0359 · arxiv_version: 1303.0359v2 · doi: 10.48550/arxiv.1303.0359 · pith_short_12: DXWDCG4V2J2R · pith_short_16: DXWDCG4V2J2RZSZJ · pith_short_8: DXWDCG4V

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/DXWDCG4V2J2RZSZJSWAAWFFDL3 \
  | 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: 1dec311b95d2751ccb2995800b14a35ed6b314e5c44f172dbf88b7c48e9d8697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60f8152af3e94c1b401dd88a00be4e02a353881f46f6eeb42fc94e59cd0a5c1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-03-02T06:01:49Z",
    "title_canon_sha256": "c805da05ff432a562834e2bb9d2621661889b95d85038075aacccbd218dfc044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0359",
    "kind": "arxiv",
    "version": 2
  }
}