Pith Number

pith:VTPV3GUX

pith:2014:VTPV3GUXDPY2JUHVLBLZORTYN7

not attested not anchored not stored refs pending

Approximate Controllability of Linearized Shape-Dependent Operators for Flow Problems

Christian Leith\"auser, Ren\'e Pinnau, Robert Fe{\ss}ler

arxiv:1412.4352 v1 · 2014-12-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTPV3GUXDPY2JUHVLBLZORTYN7}

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	2026-05-18T01:18:57.564597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acdf5d9a971bf1a4d0f558579746786fd2d4c1f0db2fc5cd0d75f1eac0f5d252

Aliases

arxiv: 1412.4352 · arxiv_version: 1412.4352v1 · doi: 10.48550/arxiv.1412.4352 · pith_short_12: VTPV3GUXDPY2 · pith_short_16: VTPV3GUXDPY2JUHV · pith_short_8: VTPV3GUX

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/VTPV3GUXDPY2JUHVLBLZORTYN7 \
  | 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: acdf5d9a971bf1a4d0f558579746786fd2d4c1f0db2fc5cd0d75f1eac0f5d252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6061250cd07c073b11c1125ed5f72f40ff752e6faa2071e0f71a880aa543982b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-12-14T13:01:37Z",
    "title_canon_sha256": "77a5d2529c54f9e90d04060b87f57f8e5e86c1a52608d501b891b9b1ecc7422e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4352",
    "kind": "arxiv",
    "version": 1
  }
}