Pith Number

pith:EIQP3YPM

pith:2025:EIQP3YPM6ZMBTF7W6RMEJEWVBY

not attested not anchored not stored refs pending

Turnpike property of linear quadratic control problems with unbounded control operators

Emmanuel Tr\'elat, Hoai-Minh Nguyen

arxiv:2506.01605 v1 · 2025-06-02 · 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{EIQP3YPM6ZMBTF7W6RMEJEWVBY}

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	2026-07-05T11:14:16.611976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2220fde1ecf6581997f6f4584492d50e2dcdfffe37d2fba0e97d38c7ba2c2b6e

Aliases

arxiv: 2506.01605 · arxiv_version: 2506.01605v1 · doi: 10.48550/arxiv.2506.01605 · pith_short_12: EIQP3YPM6ZMB · pith_short_16: EIQP3YPM6ZMBTF7W · pith_short_8: EIQP3YPM

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/EIQP3YPM6ZMBTF7W6RMEJEWVBY \
  | 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: 2220fde1ecf6581997f6f4584492d50e2dcdfffe37d2fba0e97d38c7ba2c2b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f753b69371460f342b82916a2cde96d48bd237e42dcd286b85220b2e342417",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-02T12:43:51Z",
    "title_canon_sha256": "9c2b8bd3da8127178b303486d98c711991b526c11a921725771b0ff4cffdbea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01605",
    "kind": "arxiv",
    "version": 1
  }
}