Pith Number

pith:SZB3W63M

pith:2011:SZB3W63M5EGDBQRFPQNQNN3LHO

not attested not anchored not stored refs pending

Null controllability of the structurally damped wave equation with moving point control

Lionel Rosier, Philippe Martin, Pierre Rouchon

arxiv:1111.4655 v1 · 2011-11-20 · 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{SZB3W63M5EGDBQRFPQNQNN3LHO}

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	2026-05-18T04:08:02.895954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9643bb7b6ce90c30c2257c1b06b76b3bbc0b89d1420d017e447e08f221d2e92a

Aliases

arxiv: 1111.4655 · arxiv_version: 1111.4655v1 · doi: 10.48550/arxiv.1111.4655 · pith_short_12: SZB3W63M5EGD · pith_short_16: SZB3W63M5EGDBQRF · pith_short_8: SZB3W63M

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/SZB3W63M5EGDBQRFPQNQNN3LHO \
  | 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: 9643bb7b6ce90c30c2257c1b06b76b3bbc0b89d1420d017e447e08f221d2e92a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4414501807d01999a96db6b12fbc336f31a9759b7183a330b5742076453c8992",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-11-20T17:43:28Z",
    "title_canon_sha256": "ccdc5c19641a6ed380e29c62cc684c5f474282fff53f9615ac2f729ea12ff4ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4655",
    "kind": "arxiv",
    "version": 1
  }
}