Pith Number

pith:CJT37EXM

pith:2011:CJT37EXM2CD2T5W2V2IPXFJ3DK

not attested not anchored not stored refs pending

Orbits of Real Algebraic Groups

H. Azad

arxiv:1112.5468 v2 · 2011-12-22 · math.GR · 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{CJT37EXM2CD2T5W2V2IPXFJ3DK}

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	2026-05-18T04:05:37.865479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1267bf92ecd087a9f6daae90fb953b1aa60db06d7e878d157e6f8667e13c1a2f

Aliases

arxiv: 1112.5468 · arxiv_version: 1112.5468v2 · doi: 10.48550/arxiv.1112.5468 · pith_short_12: CJT37EXM2CD2 · pith_short_16: CJT37EXM2CD2T5W2 · pith_short_8: CJT37EXM

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/CJT37EXM2CD2T5W2V2IPXFJ3DK \
  | 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: 1267bf92ecd087a9f6daae90fb953b1aa60db06d7e878d157e6f8667e13c1a2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85269257266c59d37d7cff7df59521a3dc2af3ece553aa36bfa77aa13d0ca3f3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-22T21:29:03Z",
    "title_canon_sha256": "39b54cfc0f92197b097e84af64a84e7ec495b9b32346cbaee93a27fdf4465ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5468",
    "kind": "arxiv",
    "version": 2
  }
}