Pith Number

pith:LTIJH52N

pith:2016:LTIJH52NRTMHEFLXQKKEKMIDSO

not attested not anchored not stored refs pending

L1 penalization of volumetric dose objectives in optimal control of PDEs

Christian Clason, Richard C. Barnard

arxiv:1607.01655 v3 · 2016-07-06 · 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{LTIJH52NRTMHEFLXQKKEKMIDSO}

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	2026-05-18T00:46:02.592373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd093f74d8cd8721577829445310393b6d95728e2262b7e809c49d1a56433e1

Aliases

arxiv: 1607.01655 · arxiv_version: 1607.01655v3 · doi: 10.48550/arxiv.1607.01655 · pith_short_12: LTIJH52NRTMH · pith_short_16: LTIJH52NRTMHEFLX · pith_short_8: LTIJH52N

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/LTIJH52NRTMHEFLXQKKEKMIDSO \
  | 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: 5cd093f74d8cd8721577829445310393b6d95728e2262b7e809c49d1a56433e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26fae57b7b68fec7efee8b49bd5b327ed2f3f84195a6ee59fd59008da5c6e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-06T15:03:32Z",
    "title_canon_sha256": "a4d040218b05e6641bd2d03da3e7f0fe1aaa73a08f5b2f03c462b9d34e926064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01655",
    "kind": "arxiv",
    "version": 3
  }
}