Pith Number

pith:RA2B5Q64

pith:2024:RA2B5Q64LT3JAMI5KYTQA7ESLK

not attested not anchored not stored refs pending

Schr{\"o}dinger eigenfunctions sharing the same modulus and applications to the control of quantum systems

K\'evin Le Balc'H (CaGE), Mario Sigalotti (CaGE), Ugo Boscain (CaGE)

arxiv:2403.08341 v2 · 2024-03-13 · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RA2B5Q64LT3JAMI5KYTQA7ESLK}

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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	2026-07-05T11:31:38.218246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88341ec3dc5cf690311d5627007c925aaf6fa8fdc9797c7147156d9793941b9f

Aliases

arxiv: 2403.08341 · arxiv_version: 2403.08341v2 · doi: 10.48550/arxiv.2403.08341 · pith_short_12: RA2B5Q64LT3J · pith_short_16: RA2B5Q64LT3JAMI5 · pith_short_8: RA2B5Q64

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/RA2B5Q64LT3JAMI5KYTQA7ESLK \
  | 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: 88341ec3dc5cf690311d5627007c925aaf6fa8fdc9797c7147156d9793941b9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1504af3940caf381f1e587e3b2222646ca49dffebc5907b985ad3e603201627c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-03-13T08:44:43Z",
    "title_canon_sha256": "ed433a5e647f392ee89a6e39717ac2eab7b3f94c14208b7d3c2da62245a03e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.08341",
    "kind": "arxiv",
    "version": 2
  }
}