Pith Number

pith:RH2ENKCH

pith:2018:RH2ENKCHKCNDG4SA2KM6D6PO5X

not attested not anchored not stored refs pending

Multigrid preconditioners for the Newton-Krylov method in the optimal control of the stationary Navier-Stokes equations

Ana Maria Soane, Andrei Draganescu

arxiv:1803.03890 v2 · 2018-03-11 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RH2ENKCHKCNDG4SA2KM6D6PO5X}

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	2026-05-18T00:00:13.342077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89f446a847509a337240d299e1f9eeeded832edc7cc6e79d882e01f421e5eeea

Aliases

arxiv: 1803.03890 · arxiv_version: 1803.03890v2 · doi: 10.48550/arxiv.1803.03890 · pith_short_12: RH2ENKCHKCND · pith_short_16: RH2ENKCHKCNDG4SA · pith_short_8: RH2ENKCH

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/RH2ENKCHKCNDG4SA2KM6D6PO5X \
  | 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: 89f446a847509a337240d299e1f9eeeded832edc7cc6e79d882e01f421e5eeea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ac47d2450379a8c9bb43e7d8baed5d40f7389e2cf7341fc9c3e1d17a6ee994",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-03-11T03:33:45Z",
    "title_canon_sha256": "408bfcb11e48e08bdd86e0551b713808058a8c164d0fe9428da610358a1c80e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03890",
    "kind": "arxiv",
    "version": 2
  }
}