Pith Number

pith:MXIP5UVZ

pith:2018:MXIP5UVZ6MPSJCUZD7KR4HR7B3

not attested not anchored not stored refs pending

An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow

Dmitry Karamzin, Fernando Lobo Pereira, Nathalie T. Khalil, Roman Chertovskih

arxiv:1810.08530 v2 · 2018-10-19 · 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{MXIP5UVZ6MPSJCUZD7KR4HR7B3}

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	2026-07-05T04:35:54.341050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d0fed2b9f31f248a991fd51e1e3f0ed703ba03ed3f8485e5b085f600a9a689

Aliases

arxiv: 1810.08530 · arxiv_version: 1810.08530v2 · doi: 10.48550/arxiv.1810.08530 · pith_short_12: MXIP5UVZ6MPS · pith_short_16: MXIP5UVZ6MPSJCUZ · pith_short_8: MXIP5UVZ

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/MXIP5UVZ6MPSJCUZD7KR4HR7B3 \
  | 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: 65d0fed2b9f31f248a991fd51e1e3f0ed703ba03ed3f8485e5b085f600a9a689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d80d4253926d316f52cdfcfee92b0677fb52b3b0ade17b4133723eeb3d3ea6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-19T14:53:25Z",
    "title_canon_sha256": "f80c4c81a9952fade240d90d275c1811e41cc32eea9bef7cc0b3f43d58ac4fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08530",
    "kind": "arxiv",
    "version": 2
  }
}