Pith Number

pith:VFKZFP5H

pith:2011:VFKZFP5HPVXH5LRRT7MYGIKNZY

not attested not anchored not stored refs pending

Controllability of control systems simple Lie groups and the topology of flag manifolds

Ariane Luzia dos Santos, Luiz A. B. San Martin

arxiv:1104.5030 v1 · 2011-04-26 · math.OC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFKZFP5HPVXH5LRRT7MYGIKNZY}

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	2026-05-18T04:23:32.374266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95592bfa77d6e7eae319fd983214dce0efc194ae16cefd2d4aceacfb048f5e0

Aliases

arxiv: 1104.5030 · arxiv_version: 1104.5030v1 · doi: 10.48550/arxiv.1104.5030 · pith_short_12: VFKZFP5HPVXH · pith_short_16: VFKZFP5HPVXH5LRR · pith_short_8: VFKZFP5H

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/VFKZFP5HPVXH5LRRT7MYGIKNZY \
  | 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: a95592bfa77d6e7eae319fd983214dce0efc194ae16cefd2d4aceacfb048f5e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6c4a18ff2c34c29ff2777653604a165b54880b84cf8ca0fc8156ab9bfc797a0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-04-26T20:41:07Z",
    "title_canon_sha256": "27f0a74d1c77a2f0831e04af13872188b360dd768c6c4fde1af7181f3e31e7d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5030",
    "kind": "arxiv",
    "version": 1
  }
}