Pith Number

pith:WDPTFUI5

pith:2025:WDPTFUI56PTBARPWOR33ZYWGTB

not attested not anchored not stored refs pending

Lie algebra rank condition for bilinear control systems on $\mathbb{R}^2$

Efrain Cruz-Mullisaca, Victor H. Patty-Yujra

arxiv:2506.02428 v1 · 2025-06-03 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDPTFUI56PTBARPWOR33ZYWGTB}

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.

Cited by

1 paper in Pith

Controllability of induced bilinear systems on the sphere

Receipt and verification

First computed	2026-07-05T11:14:38.591415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0df32d11df3e61045f67477bce2c6985fa9b6a6ed72b2c0458f6f38a5d79137

Aliases

arxiv: 2506.02428 · arxiv_version: 2506.02428v1 · doi: 10.48550/arxiv.2506.02428 · pith_short_12: WDPTFUI56PTB · pith_short_16: WDPTFUI56PTBARPW · pith_short_8: WDPTFUI5

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/WDPTFUI56PTBARPWOR33ZYWGTB \
  | 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: b0df32d11df3e61045f67477bce2c6985fa9b6a6ed72b2c0458f6f38a5d79137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b34abde0b33dd038f3d72186fa14bdd4fec77a3328d433612ae98c5163424e43",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-03T04:26:08Z",
    "title_canon_sha256": "b130245ae3dad9e1dac71ae600b632e61097be46b60e4926ad5aba560f409fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02428",
    "kind": "arxiv",
    "version": 1
  }
}