Pith Number

pith:7PYVSWGX

pith:2012:7PYVSWGXOPVWPVFLEFASRYTXOG

not attested not anchored not stored refs pending

Classification of symmetric pairs with discretely decomposable restrictions of (g,K)-modules

Toshiyuki Kobayashi, Yoshiki Oshima

arxiv:1202.5743 v2 · 2012-02-26 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PYVSWGXOPVWPVFLEFASRYTXOG}

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	2026-05-18T01:31:53.685988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf15958d773eb67d4ab214128e277719d116f3034c139b9f4ecb6dcd3212f38

Aliases

arxiv: 1202.5743 · arxiv_version: 1202.5743v2 · doi: 10.48550/arxiv.1202.5743 · pith_short_12: 7PYVSWGXOPVW · pith_short_16: 7PYVSWGXOPVWPVFL · pith_short_8: 7PYVSWGX

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/7PYVSWGXOPVWPVFLEFASRYTXOG \
  | 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: fbf15958d773eb67d4ab214128e277719d116f3034c139b9f4ecb6dcd3212f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20a876407c729c6019a9aaaceeeaa7c5dde248bc8a453185aac59cc07b08eb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-26T11:25:41Z",
    "title_canon_sha256": "3771be5afdec030967c4dbba63913b82d064a5ad604ef906c7cf2531b0987bbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5743",
    "kind": "arxiv",
    "version": 2
  }
}