Pith Number

pith:UWV4UY4W

pith:2011:UWV4UY4W6WG7PHNF4UY2LP5S5M

not attested not anchored not stored refs pending

Including robustness in multi-criteria optimization for intensity-modulated proton therapy

Alexei Trofimov, David Craft, Hanne Kooy, Jan Unkelbach, Thomas Bortfeld, Thomas Madden, Wei Chen

arxiv:1112.5362 v1 · 2011-12-22 · physics.med-ph · 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{UWV4UY4W6WG7PHNF4UY2LP5S5M}

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	2026-05-18T01:59:03.099417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5abca6396f58df79da5e531a5bfb2eb271534eb4c8ec71bba8b196d49699d32

Aliases

arxiv: 1112.5362 · arxiv_version: 1112.5362v1 · doi: 10.48550/arxiv.1112.5362 · pith_short_12: UWV4UY4W6WG7 · pith_short_16: UWV4UY4W6WG7PHNF · pith_short_8: UWV4UY4W

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/UWV4UY4W6WG7PHNF4UY2LP5S5M \
  | 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: a5abca6396f58df79da5e531a5bfb2eb271534eb4c8ec71bba8b196d49699d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9aeebe7bd8ea1920ee0fa794a2b3a9214e0309e94440f0323a2804fc81d0fee",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.med-ph",
    "submitted_at": "2011-12-22T16:09:42Z",
    "title_canon_sha256": "b2bd1ccf12aa2005bb6877347f4b098abba0af979bb73a33802ef9dbaedf794a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5362",
    "kind": "arxiv",
    "version": 1
  }
}