Pith Number

pith:5ET35D4W

pith:2019:5ET35D4WYOSSYGZYQK2MT4KNX6

not attested not anchored not stored refs pending

Stochastic Multistage Co-optimization of Generation and Transmission Expansion Planning

Alessandro Soares, Fernanda Thome, Lucas Okamura, Ricardo C. Perez, Silvio Binato

arxiv:1910.01640 v2 · 2019-10-03 · 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{5ET35D4WYOSSYGZYQK2MT4KNX6}

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	2026-07-05T00:13:30.691707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e927be8f96c3a52c1b3882b4c9f14dbfb9be21820d661674fe11914b2493d986

Aliases

arxiv: 1910.01640 · arxiv_version: 1910.01640v2 · doi: 10.48550/arxiv.1910.01640 · pith_short_12: 5ET35D4WYOSS · pith_short_16: 5ET35D4WYOSSYGZY · pith_short_8: 5ET35D4W

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/5ET35D4WYOSSYGZYQK2MT4KNX6 \
  | 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: e927be8f96c3a52c1b3882b4c9f14dbfb9be21820d661674fe11914b2493d986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ede09575bf3dcd4aa07734e6a76831e05557edf3f61f86cebda6e617df17b64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-10-03T17:57:44Z",
    "title_canon_sha256": "a22e108fcdb1d7098fe7d3d37a35126868f451a1b3ae18ec65aaa46c2e1468dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01640",
    "kind": "arxiv",
    "version": 2
  }
}