Pith Number

pith:ORQJDA5J

pith:2021:ORQJDA5J37UPH7KLQQ7B75JBUI

not attested not anchored not stored refs pending

An Integrated Progressive Hedging and Benders Decomposition with Multiple Master Method to Solve the Brazilian Generation Expansion Problem

Alessandro Soares, Alexandre Street, Joaquim Dias Garcia, Tiago Andrade

arxiv:2108.03143 v2 · 2021-08-06 · math.OC · cs.SY · eess.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORQJDA5J37UPH7KLQQ7B75JBUI}

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	2026-07-05T05:26:33.848122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74609183a9dfe8f3fd4b843e1ff521a234d7fbaf32738c37ca14327c404867a5

Aliases

arxiv: 2108.03143 · arxiv_version: 2108.03143v2 · doi: 10.48550/arxiv.2108.03143 · pith_short_12: ORQJDA5J37UP · pith_short_16: ORQJDA5J37UPH7KL · pith_short_8: ORQJDA5J

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/ORQJDA5J37UPH7KLQQ7B75JBUI \
  | 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: 74609183a9dfe8f3fd4b843e1ff521a234d7fbaf32738c37ca14327c404867a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e16b8e44714dc58ca751062928e1a2829f3c0bf9a6392630ab3af123a99d1c9",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-08-06T14:33:38Z",
    "title_canon_sha256": "5c3c88f04168fe56fd80ff7c19eb74c992a3053e578a484662189663127ac81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.03143",
    "kind": "arxiv",
    "version": 2
  }
}