Pith Number

pith:OG5RBPSM

pith:2012:OG5RBPSM4R4ZJ3GJ4ZRGTHOTLP

not attested not anchored not stored refs pending

Temperedness of reductive homogeneous spaces

Toshiyuki Kobayashi, Yves Benoist

arxiv:1211.1203 v2 · 2012-11-06 · math.RT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OG5RBPSM4R4ZJ3GJ4ZRGTHOTLP}

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	2026-05-18T01:19:51.123461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71bb10be4ce47994ecc9e662699dd35bf5cd7da12725b5bdcc5167322cd3685d

Aliases

arxiv: 1211.1203 · arxiv_version: 1211.1203v2 · doi: 10.48550/arxiv.1211.1203 · pith_short_12: OG5RBPSM4R4Z · pith_short_16: OG5RBPSM4R4ZJ3GJ · pith_short_8: OG5RBPSM

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/OG5RBPSM4R4ZJ3GJ4ZRGTHOTLP \
  | 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: 71bb10be4ce47994ecc9e662699dd35bf5cd7da12725b5bdcc5167322cd3685d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd75f83e05aac458330c0f5ceb795d5b0bf7042a536d92fa9ad8c65e2b082443",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-06T12:44:29Z",
    "title_canon_sha256": "75729206f9c585ae00c7549bd15c91e2731d9f7965f410999f84b68bf82a2e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1203",
    "kind": "arxiv",
    "version": 2
  }
}