Pith Number

pith:WH4LSJKP

pith:2008:WH4LSJKPGO2VSXPHFKEGGBWMXU

not attested not anchored not stored refs pending

Controllability of the discrete-spectrum Schrodinger equation driven by an external field

Inria Lorraine / Iecn / Mmas), Le2i), Mario Sigalotti (IECN, Paolo Mason (IECN, Thomas Chambrion (IECN, Ugo Boscain (SISSA

arxiv:0801.4893 v3 · 2008-01-31 · math.OC · math.AP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WH4LSJKPGO2VSXPHFKEGGBWMXU}

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	2026-05-18T02:16:01.424840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f8b9254f33b5595de72a886306ccbd0bf96ec82d06715c019a611e42437435

Aliases

arxiv: 0801.4893 · arxiv_version: 0801.4893v3 · doi: 10.48550/arxiv.0801.4893 · pith_short_12: WH4LSJKPGO2V · pith_short_16: WH4LSJKPGO2VSXPH · pith_short_8: WH4LSJKP

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/WH4LSJKPGO2VSXPHFKEGGBWMXU \
  | 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: b1f8b9254f33b5595de72a886306ccbd0bf96ec82d06715c019a611e42437435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10dc05174fd2f77575b437d6b895fad45a747f3e261caab3f116d6f974d9277d",
    "cross_cats_sorted": [
      "math.AP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2008-01-31T15:28:34Z",
    "title_canon_sha256": "9bd08df07f44c0fec8a5490e9755eb6a0266925fdc5b4144e8596d3c49b0521a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4893",
    "kind": "arxiv",
    "version": 3
  }
}