Pith Number

pith:WX7FIEAD

pith:2012:WX7FIEADOTXOMYMDE5DRWAEXJK

not attested not anchored not stored refs pending

On a Comprehensive Class of Linear Control Problems

Marcus Waurick, Rainer Picard, Sascha Trostorff

arxiv:1208.3140 v2 · 2012-08-15 · math.OC · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WX7FIEADOTXOMYMDE5DRWAEXJK}

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	2026-05-18T03:34:25.314288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5fe54100374eee6618327471b00974a9601eec78d4ce619b84ee1005cd4d4c9

Aliases

arxiv: 1208.3140 · arxiv_version: 1208.3140v2 · doi: 10.48550/arxiv.1208.3140 · pith_short_12: WX7FIEADOTXO · pith_short_16: WX7FIEADOTXOMYMD · pith_short_8: WX7FIEAD

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/WX7FIEADOTXOMYMDE5DRWAEXJK \
  | 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: b5fe54100374eee6618327471b00974a9601eec78d4ce619b84ee1005cd4d4c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "974e0ff3b5f0c60ed1812e137533fb7d9a64b8ba855a92294cad830b48e973c7",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-15T15:26:46Z",
    "title_canon_sha256": "5b1e824cde2ceb3d9f66559c3e1ab0d79d5ed7bb1bf829e27be4639d0034ef28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3140",
    "kind": "arxiv",
    "version": 2
  }
}