Pith Number

pith:B5LIIZT3

pith:2011:B5LIIZT3JGU7TKBR6KO6BIRNYN

not attested not anchored not stored refs pending

Controllability of cascade coupled systems of multi-dimensional evolution PDE's by a reduced number of controls

Fatiha Alabau-Boussouira

arxiv:1109.6645 v2 · 2011-09-29 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5LIIZT3JGU7TKBR6KO6BIRNYN}

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	2026-05-18T04:09:26.752173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f5684667b49a9f9a831f29de0a22dc37844e7bb94dcb884fdc905d24ca4cfdd

Aliases

arxiv: 1109.6645 · arxiv_version: 1109.6645v2 · doi: 10.48550/arxiv.1109.6645 · pith_short_12: B5LIIZT3JGU7 · pith_short_16: B5LIIZT3JGU7TKBR · pith_short_8: B5LIIZT3

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/B5LIIZT3JGU7TKBR6KO6BIRNYN \
  | 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: 0f5684667b49a9f9a831f29de0a22dc37844e7bb94dcb884fdc905d24ca4cfdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdaeb90437d837cebf6c5b10c8d0a6f246e28b2b6ddf43339dde7936d89d876b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-09-29T19:58:59Z",
    "title_canon_sha256": "2ead27a9b400782574fb616fb93651aa2c4fc9bbbf9a7b55bf51f4b05b8485dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6645",
    "kind": "arxiv",
    "version": 2
  }
}