Pith Number

pith:TZKURWDW

pith:2026:TZKURWDWUVZBXVJCJW5DKRXMGE

not attested not anchored not stored refs pending

A Bilevel Optimization Model for Bottom-Up Coordination of Multiple Low-Voltage Energy Communities and the Medium-Voltage Network

Cristian Duran-Mateluna, Fernando Garc\'ia-Mu\~noz, Luis Rojo-Gonz\'alez, Sebasti\'an D\'avila

arxiv:2606.17769 v1 · 2026-06-16 · 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{TZKURWDWUVZBXVJCJW5DKRXMGE}

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	2026-06-19T16:10:21.318550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5548d876a5721bd5224dba3546ec31217ccf83e3d20c961a47e7513ceeb201

Aliases

arxiv: 2606.17769 · arxiv_version: 2606.17769v1 · doi: 10.48550/arxiv.2606.17769 · pith_short_12: TZKURWDWUVZB · pith_short_16: TZKURWDWUVZBXVJC · pith_short_8: TZKURWDW

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/TZKURWDWUVZBXVJCJW5DKRXMGE \
  | 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: 9e5548d876a5721bd5224dba3546ec31217ccf83e3d20c961a47e7513ceeb201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c6c469d790d7ec25654ddead910238da3fc4903a5f64ad3c639f4503542a800",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-16T10:36:14Z",
    "title_canon_sha256": "d513ee7852c3d68dd5e2c6ce0a9ba140a89a4c3332300dcf1e75a955829b2767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17769",
    "kind": "arxiv",
    "version": 1
  }
}