Pith Number

pith:VLR6G6LW

pith:2016:VLR6G6LWOSFH5T44YD35QTUKAQ

not attested not anchored not stored refs pending

Optimal control of infinite dimensional bilinear systems: Application to the heat and wave equations

Axel Kr\"oner, Fr\'ed\'eric Bonnans, M. Soledad Aronna

arxiv:1602.06469 v2 · 2016-02-20 · 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{VLR6G6LWOSFH5T44YD35QTUKAQ}

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	2026-05-17T23:56:30.494271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae3e37976748a7ecf9cc0f7d84e8a0405daff5b441b140feb26db5cbc86b18d

Aliases

arxiv: 1602.06469 · arxiv_version: 1602.06469v2 · doi: 10.48550/arxiv.1602.06469 · pith_short_12: VLR6G6LWOSFH · pith_short_16: VLR6G6LWOSFH5T44 · pith_short_8: VLR6G6LW

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/VLR6G6LWOSFH5T44YD35QTUKAQ \
  | 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: aae3e37976748a7ecf9cc0f7d84e8a0405daff5b441b140feb26db5cbc86b18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae028c8ff46d04c68f296b916a7fa84e3325605ce98e195a20b20d81bbc00f4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-02-20T22:01:09Z",
    "title_canon_sha256": "9cbb159df49e6b8e34f23763ae285f01a1012d4bc92e7fdc5a69828d8d3b78a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06469",
    "kind": "arxiv",
    "version": 2
  }
}