Pith Number

pith:5FPYCCOT

pith:2024:5FPYCCOTO4YXLMFAJWLKQ3LRGD

not attested not anchored not stored refs pending

A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time

Boris Vexler, Dmitriy Leykekhman, Jakob Wagner

arxiv:2407.20702 v2 · 2024-07-30 · math.NA · cs.NA · 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{5FPYCCOTO4YXLMFAJWLKQ3LRGD}

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	2026-05-20T01:04:49.860292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95f8109d3773175b0a04d96a86d7130e8601859d649eb64aea53b6ded7fa386

Aliases

arxiv: 2407.20702 · arxiv_version: 2407.20702v2 · doi: 10.48550/arxiv.2407.20702 · pith_short_12: 5FPYCCOTO4YX · pith_short_16: 5FPYCCOTO4YXLMFA · pith_short_8: 5FPYCCOT

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/5FPYCCOTO4YXLMFAJWLKQ3LRGD \
  | 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: e95f8109d3773175b0a04d96a86d7130e8601859d649eb64aea53b6ded7fa386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a807f79d082b0f376c9a675be14391c69c463daf03d7de9f55e4003e6330555a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-07-30T09:57:22Z",
    "title_canon_sha256": "2599db3e4970ed43b0a4fc33115be65404294597c05a5a765d12783ee4a62482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.20702",
    "kind": "arxiv",
    "version": 2
  }
}