Pith Number

pith:MTFRXRM4

pith:2010:MTFRXRM4V43CHEILQWDDEPVMJQ

not attested not anchored not stored refs pending

The Harish-Chandra isomorphism for reductive symmetric superpairs

Alexander Alldridge

arxiv:1004.0732 v2 · 2010-04-05 · math.RT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTFRXRM4V43CHEILQWDDEPVMJQ}

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	2026-05-18T03:33:26.915581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64cb1bc59caf3623910b8586323eac4c29f3716806140a2562a14735ca8c97e0

Aliases

arxiv: 1004.0732 · arxiv_version: 1004.0732v2 · doi: 10.48550/arxiv.1004.0732 · pith_short_12: MTFRXRM4V43C · pith_short_16: MTFRXRM4V43CHEIL · pith_short_8: MTFRXRM4

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/MTFRXRM4V43CHEILQWDDEPVMJQ \
  | 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: 64cb1bc59caf3623910b8586323eac4c29f3716806140a2562a14735ca8c97e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce4e66df9d1d4d9a12142ec44071fea25a24094ad0ca09eccf9d08954af9a7a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-04-05T22:52:09Z",
    "title_canon_sha256": "fbd4fc39be0647f37fda069de7efa21f731c1f5ae6226ad171606782b96d796a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0732",
    "kind": "arxiv",
    "version": 2
  }
}