Pith Number

pith:HPPCKGYI

pith:2016:HPPCKGYIMXYUE5GPS2XNIOWKQJ

not attested not anchored not stored refs pending

A Successive LP Approach with C-VaR Type Constraints for IMRT Optimization

Makoto Yamashita, Shogo Kishimoto

arxiv:1612.01362 v1 · 2016-12-05 · 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{HPPCKGYIMXYUE5GPS2XNIOWKQJ}

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	2026-05-18T00:55:52.851511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bde251b0865f14274cf96aed43aca826b90294f499730d505f5a1089a370d27

Aliases

arxiv: 1612.01362 · arxiv_version: 1612.01362v1 · doi: 10.48550/arxiv.1612.01362 · pith_short_12: HPPCKGYIMXYU · pith_short_16: HPPCKGYIMXYUE5GP · pith_short_8: HPPCKGYI

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/HPPCKGYIMXYUE5GPS2XNIOWKQJ \
  | 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: 3bde251b0865f14274cf96aed43aca826b90294f499730d505f5a1089a370d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee1b648ca664834e72ff1904ce90381ac3a26f391b7c6a3c4b58584a2fb6f50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-05T14:17:22Z",
    "title_canon_sha256": "54cccb85bb54390482549f435d7f6dc533e71a92107c410321867c8146275aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01362",
    "kind": "arxiv",
    "version": 1
  }
}