Pith Number

pith:H4M4H2TT

pith:2014:H4M4H2TTCHN7L2FLUZP2LC7RYO

not attested not anchored not stored refs pending

The turnpike property in finite-dimensional nonlinear optimal control

Emmanuel Tr\'elat (LJLL), Enrique Zuazua (BCAM)

arxiv:1402.3263 v1 · 2014-02-13 · 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{H4M4H2TTCHN7L2FLUZP2LC7RYO}

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	2026-05-18T02:59:07.076717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f19c3ea7311dbf5e8aba65fa58bf1c38071d44f002a1e4d2f5f29f5affab6aa

Aliases

arxiv: 1402.3263 · arxiv_version: 1402.3263v1 · doi: 10.48550/arxiv.1402.3263 · pith_short_12: H4M4H2TTCHN7 · pith_short_16: H4M4H2TTCHN7L2FL · pith_short_8: H4M4H2TT

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/H4M4H2TTCHN7L2FLUZP2LC7RYO \
  | 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: 3f19c3ea7311dbf5e8aba65fa58bf1c38071d44f002a1e4d2f5f29f5affab6aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ebcd872474ae3f4e09310abdc497ade67b8182b16286fac9456c051f7b65a2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-02-13T19:22:52Z",
    "title_canon_sha256": "b2a4208a18bcd07febc296ae9b6570700cb58e10f1b8e201fad6f7f17f2d497c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3263",
    "kind": "arxiv",
    "version": 1
  }
}