Pith Number

pith:VIJGI7FD

pith:2013:VIJGI7FDOOBWEXIXSYHLSRRF45

not attested not anchored not stored refs pending

Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation

Jagdish Ramakrishnan, Jan Unkelbach, John N. Tsitsiklis, Thomas Bortfeld

arxiv:1312.1332 v4 · 2013-12-05 · 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{VIJGI7FDOOBWEXIXSYHLSRRF45}

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	2026-05-18T02:17:53.088059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa12647ca37383625d17960eb94625e74fcd1f56ea38cd9f402302de7c2a4a18

Aliases

arxiv: 1312.1332 · arxiv_version: 1312.1332v4 · doi: 10.48550/arxiv.1312.1332 · pith_short_12: VIJGI7FDOOBW · pith_short_16: VIJGI7FDOOBWEXIX · pith_short_8: VIJGI7FD

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/VIJGI7FDOOBWEXIXSYHLSRRF45 \
  | 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: aa12647ca37383625d17960eb94625e74fcd1f56ea38cd9f402302de7c2a4a18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d1cd20d15615c82eb3a1bfd72ba61abb0b791b2e6dd30222c3a2173f47fae69",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.med-ph",
    "submitted_at": "2013-12-05T00:33:48Z",
    "title_canon_sha256": "8a7a3608104e834946d0b57bbcb20fef30ac7f17ae1ffad5250ef587520f2425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1332",
    "kind": "arxiv",
    "version": 4
  }
}