Pith Number

pith:XKN2JBF2

pith:2017:XKN2JBF2ULGEQUBXMYUTWJPPGR

not attested not anchored not stored refs pending

Bilevel Optimization Based Transmission Expansion Planning Considering Phase Shifting Transformer

Desong Bian, Di Shi, Kevin Tomsovic, Xiaohu Zhang, Xinan Wang, Zhe Yu, Zhiwei Wang

arxiv:1707.09729 v1 · 2017-07-31 · 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{XKN2JBF2ULGEQUBXMYUTWJPPGR}

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	2026-05-18T00:39:08.429649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba9ba484baa2cc48503766293b25ef34491feac0719c9f38da7a260ea55746af

Aliases

arxiv: 1707.09729 · arxiv_version: 1707.09729v1 · doi: 10.48550/arxiv.1707.09729 · pith_short_12: XKN2JBF2ULGE · pith_short_16: XKN2JBF2ULGEQUBX · pith_short_8: XKN2JBF2

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/XKN2JBF2ULGEQUBXMYUTWJPPGR \
  | 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: ba9ba484baa2cc48503766293b25ef34491feac0719c9f38da7a260ea55746af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c35a8cafd53e9a963709f3282a5c7ca15345fdfa2c420196880debf3f1abf625",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-07-31T05:50:55Z",
    "title_canon_sha256": "f1a73577ed0140edb2fb4779d2769f0e61a6230626ba570696f089876a9073db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09729",
    "kind": "arxiv",
    "version": 1
  }
}