Pith Number

pith:VQ7Q243H

pith:2021:VQ7Q243HRDWQR3HPA7COZB35IL

not attested not anchored not stored refs pending

Robust Direct Aperture Optimization for Radiation Therapy Treatment Planning

Danielle A. Ripsman, Houra Mahmoudzadeh, Thomas G. Purdie, Timothy C. Y. Chan

arxiv:2111.04847 v2 · 2021-11-08 · 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{VQ7Q243HRDWQR3HPA7COZB35IL}

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	2026-07-05T04:06:00.938394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac3f0d736788ed08ecef07c4ec877d42e87a860fe6e42111cf906b1255a3cd9b

Aliases

arxiv: 2111.04847 · arxiv_version: 2111.04847v2 · doi: 10.48550/arxiv.2111.04847 · pith_short_12: VQ7Q243HRDWQ · pith_short_16: VQ7Q243HRDWQR3HP · pith_short_8: VQ7Q243H

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/VQ7Q243HRDWQR3HPA7COZB35IL \
  | 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: ac3f0d736788ed08ecef07c4ec877d42e87a860fe6e42111cf906b1255a3cd9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4d349fefa3a9686e7a111a0441377d964329f556121288b000a2e011c33d6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-11-08T21:53:16Z",
    "title_canon_sha256": "fb6f534ae237d89fa4673ba6372520a6f1873e6f0214149f5d69a934253ccea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04847",
    "kind": "arxiv",
    "version": 2
  }
}