Pith Number

pith:PVLSZIG7

pith:2011:PVLSZIG734QWWX3Q4HLV6JXMI3

not attested not anchored not stored refs pending

A weak spectral condition for the controllability of the bilinear Schr\"odinger equation with application to the control of a rotating planar molecule

Inria Lorraine / Iecn / Mmas), INRIA Saclay - Ile de France / CMAP Centre de Math\'ematiques Appliqu\'ees), Marco Caponigro (IECN, Mario Sigalotti (INRIA Saclay - Ile de France / CMAP Centre de Math\'ematiques Appliqu\'ees), Thomas Chambrion (IECN, Ugo Boscain (CMAP

arxiv:1101.4313 v4 · 2011-01-22 · math.OC · cs.SY · 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{PVLSZIG734QWWX3Q4HLV6JXMI3}

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	2026-05-18T03:33:50.348806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d572ca0dfdf216b5f70e1d75f26ec46c8f680e3c9abf346fe7c6fb1328d6ea0

Aliases

arxiv: 1101.4313 · arxiv_version: 1101.4313v4 · doi: 10.48550/arxiv.1101.4313 · pith_short_12: PVLSZIG734QW · pith_short_16: PVLSZIG734QWWX3Q · pith_short_8: PVLSZIG7

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/PVLSZIG734QWWX3Q4HLV6JXMI3 \
  | 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: 7d572ca0dfdf216b5f70e1d75f26ec46c8f680e3c9abf346fe7c6fb1328d6ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec18519f85e74f0bf91e795aec861f80f944b9eab4fcb606ba2eb68432c13954",
    "cross_cats_sorted": [
      "cs.SY",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-01-22T19:57:48Z",
    "title_canon_sha256": "5442fa78fbf36ebf47a30b92174d547a0b61dbdab53bc62da92f587b9181c7f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4313",
    "kind": "arxiv",
    "version": 4
  }
}