Pith Number

pith:OC5UEEUE

pith:2012:OC5UEEUEEDVETMPXMVM547YA7O

not attested not anchored not stored refs pending

Simultaneous local exact controllability of 1D bilinear Schr\"odinger equations

Morgan Morancey

arxiv:1211.1177 v2 · 2012-11-06 · 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{OC5UEEUEEDVETMPXMVM547YA7O}

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	2026-05-18T03:19:35.142645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70bb42128420ea49b1f76559de7f00fbad1b3ec1dd5cbb377730ead52460b432

Aliases

arxiv: 1211.1177 · arxiv_version: 1211.1177v2 · doi: 10.48550/arxiv.1211.1177 · pith_short_12: OC5UEEUEEDVE · pith_short_16: OC5UEEUEEDVETMPX · pith_short_8: OC5UEEUE

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/OC5UEEUEEDVETMPXMVM547YA7O \
  | 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: 70bb42128420ea49b1f76559de7f00fbad1b3ec1dd5cbb377730ead52460b432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9783917cdfe242190465a53ce7986f578cbc3c6ae1b696350ee77ed61751b07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-06T10:59:01Z",
    "title_canon_sha256": "fc1783bb36dab2dddd1eadbf247455f7721398b52d38cc18b042f1cdc185bb9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1177",
    "kind": "arxiv",
    "version": 2
  }
}