Pith Number

pith:3VMIYG47

pith:2011:3VMIYG47DIXC6EJK7OYCBC34DT

not attested not anchored not stored refs pending

Optimal Error Estimates of Galerkin Finite Element Methods for Stochastic Partial Differential Equations with Multiplicative Noise

Raphael Kruse

arxiv:1103.4504 v1 · 2011-03-23 · math.NA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VMIYG47DIXC6EJK7OYCBC34DT}

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	2026-05-18T02:32:54.683129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd588c1b9f1a2e2f112afbb0208b7c1ce28a832c37ff5a5c2d3d7dde6377709a

Aliases

arxiv: 1103.4504 · arxiv_version: 1103.4504v1 · doi: 10.48550/arxiv.1103.4504 · pith_short_12: 3VMIYG47DIXC · pith_short_16: 3VMIYG47DIXC6EJK · pith_short_8: 3VMIYG47

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/3VMIYG47DIXC6EJK7OYCBC34DT \
  | 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: dd588c1b9f1a2e2f112afbb0208b7c1ce28a832c37ff5a5c2d3d7dde6377709a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "038b88781cfdad899903552e9b2bcc1e4957d5568030a453ef0a9d000fe8a04a",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-03-23T12:54:29Z",
    "title_canon_sha256": "88c12a9ae77a2527c926b5be71e4d71a85f295432abd9f674e5e64aac0bc115a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4504",
    "kind": "arxiv",
    "version": 1
  }
}