Pith Number

pith:XSN7TXGG

pith:2014:XSN7TXGGZSGX5THI23KRODHXZP

not attested not anchored not stored refs pending

Approximate controllability of the Schr\"{o}dinger Equation with a polarizability term in higher Sobolev norms

INRIA Nancy - Grand Est / IECN / LMAM), Marco Caponigro (M2N), Nabile Boussaid (LM-Besan\c{c}on), Thomas Chambrion (IECL

arxiv:1406.3846 v1 · 2014-06-15 · math.AP · 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{XSN7TXGGZSGX5THI23KRODHXZP}

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	2026-05-18T02:49:39.617608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc9bf9dcc6cc8d7ecce8d6d5170cf7cbc270ab14c4433e2d2246ec5364ad210e

Aliases

arxiv: 1406.3846 · arxiv_version: 1406.3846v1 · doi: 10.48550/arxiv.1406.3846 · pith_short_12: XSN7TXGGZSGX · pith_short_16: XSN7TXGGZSGX5THI · pith_short_8: XSN7TXGG

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/XSN7TXGGZSGX5THI23KRODHXZP \
  | 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: bc9bf9dcc6cc8d7ecce8d6d5170cf7cbc270ab14c4433e2d2246ec5364ad210e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99e67f72e18ca60bd129bed688e289b73f8d9e8f819c9ceb414dc23944c737ee",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-15T19:09:02Z",
    "title_canon_sha256": "6b9b332f93a8baf97c585528e6feadcf60e8fde3220a2c54e0ee777b9091cc70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3846",
    "kind": "arxiv",
    "version": 1
  }
}