pith. sign in
Pith Number

pith:XE2RCTVC

pith:2014:XE2RCTVCJ3QMKZXQO2HSQXFRE3
not attested not anchored not stored refs pending

An a posteriori error estimate for Symplectic Euler approximation of optimal control problems

Anders Szepessy, Jesper Karlsson, Mattias Sandberg, Ra\`ul Tempone, Stig Larsson

arxiv:1407.8330 v1 · 2014-07-31 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XE2RCTVCJ3QMKZXQO2HSQXFRE3}

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 2026-05-18T01:20:17.653150Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b935114ea24ee0c566f0768f285cb126f6a497c975af36e2beb8122e0a5c488d

Aliases

arxiv: 1407.8330 · arxiv_version: 1407.8330v1 · doi: 10.48550/arxiv.1407.8330 · pith_short_12: XE2RCTVCJ3QM · pith_short_16: XE2RCTVCJ3QMKZXQ · pith_short_8: XE2RCTVC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XE2RCTVCJ3QMKZXQO2HSQXFRE3 \
  | 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: b935114ea24ee0c566f0768f285cb126f6a497c975af36e2beb8122e0a5c488d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "469c04d828ce0b64e37ce9e54ae1be75687f2d614e422f3c5c1f579b236a4ba6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-07-31T09:39:12Z",
    "title_canon_sha256": "0e9dc57a58d52d9b19bd27f87ae075ed7333600cc804acb036a87ecc2ba2ebdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8330",
    "kind": "arxiv",
    "version": 1
  }
}