Pith Number

pith:F7DBDYFL

pith:2020:F7DBDYFLGKJY3CEBS7UXJPWODQ

not attested not anchored not stored refs pending

Application of Progressive Hedging to Var Expansion Planning Under Uncertainty

Igor Carvalho, Joaquim Dias Garcia, Maria de Lujan Latorre, Tiago Andrade

arxiv:2004.08466 v1 · 2020-04-17 · math.OC · cs.CE · 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{F7DBDYFLGKJY3CEBS7UXJPWODQ}

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	2026-07-05T00:56:06.225133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc611e0ab32938d888197e974bece1c399d82fff75ee4267d77bcf745969a6e

Aliases

arxiv: 2004.08466 · arxiv_version: 2004.08466v1 · doi: 10.48550/arxiv.2004.08466 · pith_short_12: F7DBDYFLGKJY · pith_short_16: F7DBDYFLGKJY3CEB · pith_short_8: F7DBDYFL

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/F7DBDYFLGKJY3CEBS7UXJPWODQ \
  | 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: 2fc611e0ab32938d888197e974bece1c399d82fff75ee4267d77bcf745969a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69fbe4c6546eb3db4454f503e83645a11111ce57579ca50660ee7fed88850e8c",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-04-17T21:54:36Z",
    "title_canon_sha256": "3ddfb087d0a50a1f1b914902fbfb4529ffe13ae8728e2a81472fb682b69b5303"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08466",
    "kind": "arxiv",
    "version": 1
  }
}