Pith Number

pith:NMCIT6DR

pith:2023:NMCIT6DRHPOQXIXOKUCNPR23WX

not attested not anchored not stored refs pending

Linear quadratic optimal control turnpike in finite and infinite dimension: two-term expansion of the value function

CaGE ), Emmanuel Tr\'elat (LJLL (UMR\_7598), Hasnaa Zidani (LMI), Veljko Askovic

arxiv:2312.15938 v1 · 2023-12-26 · 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{NMCIT6DRHPOQXIXOKUCNPR23WX}

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	2026-07-05T07:28:03.841889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b0489f8713bdd0ba2ee5504d7c75bb5e6570b466553abbb684184ff83ba902d

Aliases

arxiv: 2312.15938 · arxiv_version: 2312.15938v1 · doi: 10.48550/arxiv.2312.15938 · pith_short_12: NMCIT6DRHPOQ · pith_short_16: NMCIT6DRHPOQXIXO · pith_short_8: NMCIT6DR

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/NMCIT6DRHPOQXIXOKUCNPR23WX \
  | 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: 6b0489f8713bdd0ba2ee5504d7c75bb5e6570b466553abbb684184ff83ba902d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21cc0a4394ca45090829fdb632ae10e715241dae4c7c36590a25675d712cb434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-12-26T08:07:08Z",
    "title_canon_sha256": "9af3cac6fd9be95bd1c7359a64f23e80a94fffd3a5304cf5f6cb1237341b5e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.15938",
    "kind": "arxiv",
    "version": 1
  }
}