Pith Number

pith:ZT4FISBP

pith:2016:ZT4FISBP5OYFNYCIKE5V72BHUG

not attested not anchored not stored refs pending

Speedup of lexicographic optimization by superiorization and its applications to cancer radiotherapy treatment

and Philipp S\"uss, Aviv Gibali, Esther Bonacker, Karl-Heinz K\"ufer

arxiv:1610.02894 v1 · 2016-10-10 · 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{ZT4FISBP5OYFNYCIKE5V72BHUG}

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	2026-05-18T00:47:20.588589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf854482febb056e048513b5fe827a1a2a24ade80d03528dc3babf5b58ce905

Aliases

arxiv: 1610.02894 · arxiv_version: 1610.02894v1 · doi: 10.48550/arxiv.1610.02894 · pith_short_12: ZT4FISBP5OYF · pith_short_16: ZT4FISBP5OYFNYCI · pith_short_8: ZT4FISBP

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/ZT4FISBP5OYFNYCIKE5V72BHUG \
  | 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: ccf854482febb056e048513b5fe827a1a2a24ade80d03528dc3babf5b58ce905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa851716b1bd56fc26e1bd4fa8d00bd67fe48c382da046c732aea7f37a73b09e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-10T13:05:38Z",
    "title_canon_sha256": "7fa6b36d7e5f7d7e7f405f892d20cc9abea1071651fb034a2bd78e5640991777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02894",
    "kind": "arxiv",
    "version": 1
  }
}