Pith Number

pith:MO4O3WM5

pith:2013:MO4O3WM53ULXQU7QYOXEQLDEPI

not attested not anchored not stored refs pending

Optimal bilinear control of nonlinear Schr\"{o}dinger equations with singular potentials

Binhua Feng, Dun Zhao, Pengyu Chen

arxiv:1301.4335 v1 · 2013-01-18 · 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{MO4O3WM53ULXQU7QYOXEQLDEPI}

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	2026-05-18T03:36:05.626256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b8edd99ddd177853f0c3ae482c647a2c9fe3fb9c8255b0744e0c2db9f084f3

Aliases

arxiv: 1301.4335 · arxiv_version: 1301.4335v1 · doi: 10.48550/arxiv.1301.4335 · pith_short_12: MO4O3WM53ULX · pith_short_16: MO4O3WM53ULXQU7Q · pith_short_8: MO4O3WM5

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/MO4O3WM53ULXQU7QYOXEQLDEPI \
  | 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: 63b8edd99ddd177853f0c3ae482c647a2c9fe3fb9c8255b0744e0c2db9f084f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e346c582493af67ebc069a738f899cfa0efb89dd9773d6b36b332fa700e7cf26",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-18T10:05:32Z",
    "title_canon_sha256": "e388a71cae78b518cabbe9c71e9b30e1bce0ebbd180361beed548f15f895432e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4335",
    "kind": "arxiv",
    "version": 1
  }
}