Pith Number

pith:7M3MUMXV

pith:2014:7M3MUMXVTI35QSLLNAT54X23B2

not attested not anchored not stored refs pending

A Cohomological Proof that Real Representations of Semisimple Lie Algebras Have $\mathbb{Q}$-Forms

Dave Witte Morris

arxiv:1410.2339 v5 · 2014-10-09 · 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{7M3MUMXVTI35QSLLNAT54X23B2}

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	2026-05-18T02:17:51.806109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb36ca32f59a37d8496b6827de5f5b0e98d46fc0bf474d7bcfe35e2f0c24dcb3

Aliases

arxiv: 1410.2339 · arxiv_version: 1410.2339v5 · doi: 10.48550/arxiv.1410.2339 · pith_short_12: 7M3MUMXVTI35 · pith_short_16: 7M3MUMXVTI35QSLL · pith_short_8: 7M3MUMXV

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/7M3MUMXVTI35QSLLNAT54X23B2 \
  | 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: fb36ca32f59a37d8496b6827de5f5b0e98d46fc0bf474d7bcfe35e2f0c24dcb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e768d3270d9d29706164a71a5b20abc43bd138af84fc7c3b3894ade77909a13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-10-09T02:57:26Z",
    "title_canon_sha256": "218b5a442fe967b269194ca4d6724bf2550f559a9a7843a381b3e5a8f3840fe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2339",
    "kind": "arxiv",
    "version": 5
  }
}