Pith Number

pith:RVGRQLVG

pith:2016:RVGRQLVGHBQKYF7KPDJFW4JZP4

not attested not anchored not stored refs pending

Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces

Can Zhang, Emmanuel Trelat, Enrique Zuazua

arxiv:1610.01912 v2 · 2016-10-06 · 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{RVGRQLVGHBQKYF7KPDJFW4JZP4}

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	2026-05-18T00:56:06.103348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d4d182ea63860ac17ea78d25b71397f06d82375dda81eed2084c6fc537a8ed3

Aliases

arxiv: 1610.01912 · arxiv_version: 1610.01912v2 · doi: 10.48550/arxiv.1610.01912 · pith_short_12: RVGRQLVGHBQK · pith_short_16: RVGRQLVGHBQKYF7K · pith_short_8: RVGRQLVG

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/RVGRQLVGHBQKYF7KPDJFW4JZP4 \
  | 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: 8d4d182ea63860ac17ea78d25b71397f06d82375dda81eed2084c6fc537a8ed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fba78a36b6129b396ec5ac807fdb6764fe403fb26014572278be338d4fd52cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-06T15:27:15Z",
    "title_canon_sha256": "582b946f8d4e24beab750586f0c2a559a2a9e3018a5f7d3d927bdd24ecba4805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01912",
    "kind": "arxiv",
    "version": 2
  }
}