Pith Number

pith:UHWSC6YO

pith:2010:UHWSC6YOWYYUTICLTWTNSGB5UF

not attested not anchored not stored refs pending

Distributive Lattices, Affine Semigroups, and Branching Rules of the Classical Groups

Sangjib Kim

arxiv:1004.0054 v3 · 2010-04-01 · 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{UHWSC6YOWYYUTICLTWTNSGB5UF}

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	2026-05-18T04:18:54.708531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ed217b0eb63149a04b9da6d9183da17c55013408c6b363d8fb0cec49a18a8a

Aliases

arxiv: 1004.0054 · arxiv_version: 1004.0054v3 · doi: 10.48550/arxiv.1004.0054 · pith_short_12: UHWSC6YOWYYU · pith_short_16: UHWSC6YOWYYUTICL · pith_short_8: UHWSC6YO

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/UHWSC6YOWYYUTICLTWTNSGB5UF \
  | 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: a1ed217b0eb63149a04b9da6d9183da17c55013408c6b363d8fb0cec49a18a8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49db217c3d7005c8f2cb7468f84cf0cc5351cfd134c7c7c53a0118d10c0e2e38",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-04-01T04:49:39Z",
    "title_canon_sha256": "3250e68811234915d8a84d48627f546f7e6030f24591863fcf5b21c699d49dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0054",
    "kind": "arxiv",
    "version": 3
  }
}