Pith Number

pith:APKXKL5I

pith:2019:APKXKL5I6WDX36PTP7OV6BF6OT

not attested not anchored not stored refs pending

Optimal Generation and Transmission Expansion Planning Addressing Short-Term Constraints with Co-optimization of Energy and Reserves

Alessandro Soares, Fernanda Thome, Ricardo Perez

arxiv:1910.00446 v2 · 2019-10-01 · 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{APKXKL5I6WDX36PTP7OV6BF6OT}

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	2026-07-05T03:36:33.934525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d5752fa8f5877df9f37fdd5f04be74ffc79ae8b768149cbc4c75fdf8fdd401

Aliases

arxiv: 1910.00446 · arxiv_version: 1910.00446v2 · doi: 10.48550/arxiv.1910.00446 · pith_short_12: APKXKL5I6WDX · pith_short_16: APKXKL5I6WDX36PT · pith_short_8: APKXKL5I

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/APKXKL5I6WDX36PTP7OV6BF6OT \
  | 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: 03d5752fa8f5877df9f37fdd5f04be74ffc79ae8b768149cbc4c75fdf8fdd401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "612f6c5cbe4ed939329cab38490c9f9cc88fb6ba65da551f3449297e5edf3651",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-10-01T14:31:58Z",
    "title_canon_sha256": "c8a47e816d961954f2752c4a0759aef9f6aee2e2b6f2c1b408af5d96e04bc862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.00446",
    "kind": "arxiv",
    "version": 2
  }
}