Pith Number

pith:5TOL5IJH

pith:2019:5TOL5IJHCMBT6P7VX3S4VCKCUD

not attested not anchored not stored refs pending

Obstruction to the billinear control of the Gross-Pitaevskii equation: an example with an unbounded potential

EDP), IECL, Laurent Thomann (IECL, SPHINX), Thomas Chambrion (EDP

arxiv:1903.04185 v1 · 2019-03-11 · math.OC · 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{5TOL5IJHCMBT6P7VX3S4VCKCUD}

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	2026-05-17T23:51:36.275766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecdcbea12713033f3ff5bee5ca8942a0e5a5a5063867b140679da5e62c3dd0fe

Aliases

arxiv: 1903.04185 · arxiv_version: 1903.04185v1 · doi: 10.48550/arxiv.1903.04185 · pith_short_12: 5TOL5IJHCMBT · pith_short_16: 5TOL5IJHCMBT6P7V · pith_short_8: 5TOL5IJH

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/5TOL5IJHCMBT6P7VX3S4VCKCUD \
  | 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: ecdcbea12713033f3ff5bee5ca8942a0e5a5a5063867b140679da5e62c3dd0fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "def9e99fb57c8b43bf417fd61476cfd7bf9848ad8cd96037a68d0bbbeccff60f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-03-11T09:28:53Z",
    "title_canon_sha256": "422509c6d7078a8105bc10ddae8b7cc8b1f216e3190b8ac814f308f43edcb293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04185",
    "kind": "arxiv",
    "version": 1
  }
}