Pith Number

pith:ECXB2SWP

pith:2010:ECXB2SWP3DTI2NPWVFZHST3JXC

not attested not anchored not stored refs pending

Verma modules over p-adic Arens-Michael envelopes of reductive Lie algebras

Tobias Schmidt

arxiv:1008.3897 v2 · 2010-08-23 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECXB2SWP3DTI2NPWVFZHST3JXC}

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	2026-05-18T03:20:06.852152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20ae1d4acfd8e68d35f6a972794f69b89837e1ae559da74db7d2ab97ebedcbbc

Aliases

arxiv: 1008.3897 · arxiv_version: 1008.3897v2 · doi: 10.48550/arxiv.1008.3897 · pith_short_12: ECXB2SWP3DTI · pith_short_16: ECXB2SWP3DTI2NPW · pith_short_8: ECXB2SWP

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/ECXB2SWP3DTI2NPWVFZHST3JXC \
  | 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: 20ae1d4acfd8e68d35f6a972794f69b89837e1ae559da74db7d2ab97ebedcbbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3ce2936dd00ba482d8cba2ec42ced571300ef027001d616f7843ef7bbfc21e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-08-23T19:48:41Z",
    "title_canon_sha256": "1df61a7dc9a0c1d360439ff0c20d076e51244b97c9bdb8283e7d96074e3c12b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3897",
    "kind": "arxiv",
    "version": 2
  }
}