Pith Number

pith:MAJFF3TL

pith:2006:MAJFF3TLJWA62OIZH55JXPX23Z

not attested not anchored not stored refs pending

A generalized Cartan decomposition for the double coset space U(n_1) x U(n_2) x U(n_3)) U(n) / U(p) x U(q)

Toshiyuki Kobayashi

arxiv:math/0607006 v1 · 2006-06-30 · 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{MAJFF3TLJWA62OIZH55JXPX23Z}

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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	2026-05-18T04:19:32.779048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

601252ee6b4d81ed39193f7a9bbefade6c2b2b543a38fb36c4222aea664e0b73

Aliases

arxiv: math/0607006 · arxiv_version: math/0607006v1 · doi: 10.48550/arxiv.math/0607006 · pith_short_12: MAJFF3TLJWA6 · pith_short_16: MAJFF3TLJWA62OIZ · pith_short_8: MAJFF3TL

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/MAJFF3TLJWA62OIZH55JXPX23Z \
  | 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: 601252ee6b4d81ed39193f7a9bbefade6c2b2b543a38fb36c4222aea664e0b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b32439549e24dd3e568741f26dc7825ca8bc90a1d8958aec60ff9dff854cfb5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-06-30T23:29:57Z",
    "title_canon_sha256": "5def8e218e1a3fbc3b70aa95fbf76d14b13051b5a2db28334d683d878e52c990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607006",
    "kind": "arxiv",
    "version": 1
  }
}