Pith Number

pith:B2YCGELE

pith:2006:B2YCGELEO6OJDJOPMYSQBGBUIJ

not attested not anchored not stored refs pending

Multiplicity-free theorems of the restrictions of unitary highest weight modules with respect to reductive symmetric pairs

Toshiyuki Kobayashi

arxiv:math/0607002 v1 · 2006-06-30 · math.RT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2YCGELEO6OJDJOPMYSQBGBUIJ}

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	2026-05-18T04:19:32.789464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb0231164779c91a5cf662500983442701604bee43562642e4136dc7e36f3ee

Aliases

arxiv: math/0607002 · arxiv_version: math/0607002v1 · doi: 10.48550/arxiv.math/0607002 · pith_short_12: B2YCGELEO6OJ · pith_short_16: B2YCGELEO6OJDJOP · pith_short_8: B2YCGELE

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/B2YCGELEO6OJDJOPMYSQBGBUIJ \
  | 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: 0eb0231164779c91a5cf662500983442701604bee43562642e4136dc7e36f3ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e1984013235dfdc31c11ec69a0b91dcec7cb8e022aad669fe896bfde6fd406",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-06-30T22:27:19Z",
    "title_canon_sha256": "627dbe3ebde672738eb2f82d1158a1ecb0a3c71bd389728eefb10c7a54c07c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607002",
    "kind": "arxiv",
    "version": 1
  }
}