Pith Number

pith:RNLZ2TWD

pith:2010:RNLZ2TWDPPXLT5TJZP6TSALQDK

not attested not anchored not stored refs pending

Embeddings of semisimple complex Lie groups and cohomological components of modules

Valdemar V. Tsanov

arxiv:1005.4225 v4 · 2010-05-23 · math.RT · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNLZ2TWDPPXLT5TJZP6TSALQDK}

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	2026-05-18T03:26:23.459280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b579d4ec37beeb9f669cbfd3901701a82b31cec3bac85e478a5e0b59c81111c

Aliases

arxiv: 1005.4225 · arxiv_version: 1005.4225v4 · doi: 10.48550/arxiv.1005.4225 · pith_short_12: RNLZ2TWDPPXL · pith_short_16: RNLZ2TWDPPXLT5TJ · pith_short_8: RNLZ2TWD

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/RNLZ2TWDPPXLT5TJZP6TSALQDK \
  | 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: 8b579d4ec37beeb9f669cbfd3901701a82b31cec3bac85e478a5e0b59c81111c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3daac5eab9896d13c195fb3c87c43732f65294473dcf38909fb1496f2bfb512a",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-05-23T19:37:54Z",
    "title_canon_sha256": "ad10d2a76656e14dee3ef31aeaf87f254b18d5d58c161146d096fe394f6fa095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4225",
    "kind": "arxiv",
    "version": 4
  }
}