Pith Number

pith:NE54H6OP

pith:2017:NE54H6OPGZ2R4N3TMGBLD66QXT

not attested not anchored not stored refs pending

Galerkin approximations for the optimal control of nonlinear delay differential equations

Axel Kr\"oner, Honghu Liu, Micka\"el D. Chekroun

arxiv:1706.02360 v1 · 2017-06-07 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NE54H6OPGZ2R4N3TMGBLD66QXT}

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.

Cited by

1 paper in Pith

Some discontinuous functional differential equation and its connection to smoothness of composition operators in $L^p$

Receipt and verification

First computed	2026-05-18T00:24:35.780247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693bc3f9cf36751e37736182b1fbd0bccfc1e3f469da1738723701fbdc8d54a5

Aliases

arxiv: 1706.02360 · arxiv_version: 1706.02360v1 · doi: 10.48550/arxiv.1706.02360 · pith_short_12: NE54H6OPGZ2R · pith_short_16: NE54H6OPGZ2R4N3T · pith_short_8: NE54H6OP

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/NE54H6OPGZ2R4N3TMGBLD66QXT \
  | 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: 693bc3f9cf36751e37736182b1fbd0bccfc1e3f469da1738723701fbdc8d54a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf3fe7d8a18dba363ad479452a9748b3b9454db183b9a4dd1b7a687c46bd371",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-06-07T19:45:59Z",
    "title_canon_sha256": "ac451c907b5ea026c3e7539f64ecc6cc84cddf39a3d572634e1aaf919593d214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02360",
    "kind": "arxiv",
    "version": 1
  }
}