Pith Number

pith:OXAATCAQ

pith:2013:OXAATCAQPCNQXETQNM7CTFANRV

not attested not anchored not stored refs pending

Algebraic supergroups and Harish-Chandra pairs over a commutative ring

Akira Masuoka, Taiki Shibata

arxiv:1304.0531 v8 · 2013-04-02 · 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{OXAATCAQPCNQXETQNM7CTFANRV}

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	2026-05-18T01:03:37.248295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75c0098810789b0b92706b3e29940d8d7e767b341cbd4904d2175630dbfc2e28

Aliases

arxiv: 1304.0531 · arxiv_version: 1304.0531v8 · doi: 10.48550/arxiv.1304.0531 · pith_short_12: OXAATCAQPCNQ · pith_short_16: OXAATCAQPCNQXETQ · pith_short_8: OXAATCAQ

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/OXAATCAQPCNQXETQNM7CTFANRV \
  | 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: 75c0098810789b0b92706b3e29940d8d7e767b341cbd4904d2175630dbfc2e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eba6343f2b32ca0f04786c71f09a5eac808359165955b2a339807cb16d01054",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-02T04:52:26Z",
    "title_canon_sha256": "92335fbd254198f6d0aebed58e0886ef39c12926ce9dab3226f19628a5c7c195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0531",
    "kind": "arxiv",
    "version": 8
  }
}