Pith Number

pith:7UUQR3EO

pith:2026:7UUQR3EOIEE77O5TIP27QTEQ4B

not attested not anchored not stored refs pending

Turnpike and Sparse Optimal Control for Semiautonomous Neural ODEs

Dev Prakash Jha, Raju K. George

arxiv:2606.29343 v1 · 2026-06-28 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UUQR3EOIEE77O5TIP27QTEQ4B}

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	2026-06-30T01:18:02.195487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2908ec8e4109ffbbb343f5f84c90e077f860c792c87390b68abe0c81546eb7

Aliases

arxiv: 2606.29343 · arxiv_version: 2606.29343v1 · doi: 10.48550/arxiv.2606.29343 · pith_short_12: 7UUQR3EOIEE7 · pith_short_16: 7UUQR3EOIEE77O5T · pith_short_8: 7UUQR3EO

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/7UUQR3EOIEE77O5TIP27QTEQ4B \
  | 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: fd2908ec8e4109ffbbb343f5f84c90e077f860c792c87390b68abe0c81546eb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "227ebd1509e02221a502fa79df75938678b0a44372a309086378e959f5cd6043",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-28T11:20:14Z",
    "title_canon_sha256": "e01f907ea813d2b37af9b28a5f46ccc7ab85d6fa191d097c92a8281440b3b92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29343",
    "kind": "arxiv",
    "version": 1
  }
}