Pith Number

pith:M6UTJ6PZ

pith:2026:M6UTJ6PZOKVZUZ5BO3J66H7VCW

not attested not anchored not stored refs pending

Stochastic Galerkin and Monte-Carlo methods for parabolic problems: Numerical performance of variational matrix-free approximations

Markus Bause, Moataz Dawor, Nils Margenberg

arxiv:2605.21046 v1 · 2026-05-20 · math.NA · cs.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{M6UTJ6PZOKVZUZ5BO3J66H7VCW}

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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	2026-05-21T01:05:33.970416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67a934f9f972ab9a67a176d3ef1ff515aee4ed87db8b98329fbe7388725677ce

Aliases

arxiv: 2605.21046 · arxiv_version: 2605.21046v1 · doi: 10.48550/arxiv.2605.21046 · pith_short_12: M6UTJ6PZOKVZ · pith_short_16: M6UTJ6PZOKVZUZ5B · pith_short_8: M6UTJ6PZ

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/M6UTJ6PZOKVZUZ5BO3J66H7VCW \
  | 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: 67a934f9f972ab9a67a176d3ef1ff515aee4ed87db8b98329fbe7388725677ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd39341bf53d8c114fe8e02674f1107d760d8b67c53e90fbca0d2255676782a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-20T11:26:46Z",
    "title_canon_sha256": "8ad7164efc2b34bdb896e5a68d11db8c4c44e3dd3f27fbcca41de4faba5512aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21046",
    "kind": "arxiv",
    "version": 1
  }
}