Pith Number

pith:2EUTYVSM

pith:2010:2EUTYVSM52MCVVWONIVMEXENA2

not attested not anchored not stored refs pending

Bilinear control of discrete spectrum Schr\"odinger operators

Kais Ammari, Zied Ammari

arxiv:1004.5594 v2 · 2010-04-30 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EUTYVSM52MCVVWONIVMEXENA2}

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	2026-05-18T02:24:09.732701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1293c564cee982ad6ce6a2ac25c8d0687205358b2cd90d6192779946e81c91d

Aliases

arxiv: 1004.5594 · arxiv_version: 1004.5594v2 · doi: 10.48550/arxiv.1004.5594 · pith_short_12: 2EUTYVSM52MC · pith_short_16: 2EUTYVSM52MCVVWO · pith_short_8: 2EUTYVSM

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/2EUTYVSM52MCVVWONIVMEXENA2 \
  | 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: d1293c564cee982ad6ce6a2ac25c8d0687205358b2cd90d6192779946e81c91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "408f40cebce5508dfe4837167b3f7f7814863496caa3add21a3cf45e9c28a704",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-30T19:15:47Z",
    "title_canon_sha256": "6de3b56a708e2ec3c734d48b27ed2ebd562ce1937c0f6f27e51dd9b05cb3c900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5594",
    "kind": "arxiv",
    "version": 2
  }
}