Pith Number

pith:SBFSWPCY

pith:2011:SBFSWPCY45NVNTL3PEXP4JX2X4

not attested not anchored not stored refs pending

On the existence of optimal controls for SPDEs with boundary-noise and boundary-control

Federica Masiero, Giuseppina Guatteri

arxiv:1110.6534 v1 · 2011-10-29 · math.OC · 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{SBFSWPCY45NVNTL3PEXP4JX2X4}

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	2026-05-18T00:56:47.168447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

904b2b3c58e75b56cd7b792efe26fabf0e55a76d4f69bf242a0bf70cad34446a

Aliases

arxiv: 1110.6534 · arxiv_version: 1110.6534v1 · doi: 10.48550/arxiv.1110.6534 · pith_short_12: SBFSWPCY45NV · pith_short_16: SBFSWPCY45NVNTL3 · pith_short_8: SBFSWPCY

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/SBFSWPCY45NVNTL3PEXP4JX2X4 \
  | 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: 904b2b3c58e75b56cd7b792efe26fabf0e55a76d4f69bf242a0bf70cad34446a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3353a8f7d782e568a6c1de0876374e4cc9592c1ff0f037b0f3fda79376f3a5dc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-29T14:44:28Z",
    "title_canon_sha256": "493bf43a365ed4fc73380f5a676d0dc79855553e87a2bfb17fd3616a9025ad8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6534",
    "kind": "arxiv",
    "version": 1
  }
}