Pith Number

pith:R6EBUNO7

pith:2025:R6EBUNO7N2Z7I5TLHEDSHCATQZ

not attested not anchored not stored refs pending

Optimal Control of the Navier-Stokes equations via Pressure Boundary Conditions

Boris Vexler, Jakob Wagner

arxiv:2501.04548 v2 · 2025-01-08 · 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{R6EBUNO7N2Z7I5TLHEDSHCATQZ}

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	2026-05-20T01:04:51.616988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f881a35df6eb3f4766b39072388138674f396712f203e93099c52b190bd89fb

Aliases

arxiv: 2501.04548 · arxiv_version: 2501.04548v2 · doi: 10.48550/arxiv.2501.04548 · pith_short_12: R6EBUNO7N2Z7 · pith_short_16: R6EBUNO7N2Z7I5TL · pith_short_8: R6EBUNO7

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/R6EBUNO7N2Z7I5TLHEDSHCATQZ \
  | 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: 8f881a35df6eb3f4766b39072388138674f396712f203e93099c52b190bd89fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d6228f4fc5b3ba58692eb6cd0fa0697f8fc3e4d17fbe2fecf52ece449fe362",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-08T14:54:18Z",
    "title_canon_sha256": "8660c95049061c1442bfb070425a074bfda0052f032146281db59478be805789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04548",
    "kind": "arxiv",
    "version": 2
  }
}