Pith Number

pith:OYKNRKSC

pith:2017:OYKNRKSCQ7SJWT3UGII3JRI6U3

not attested not anchored not stored refs pending

AC Transmission Network Expansion Planning: A Semidefinite Programming Branch-and-Cut Approach

Bissan Ghaddar, Rabih Jabr

arxiv:1711.03471 v1 · 2017-11-09 · 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{OYKNRKSCQ7SJWT3UGII3JRI6U3}

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	2026-05-18T00:30:56.004264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7614d8aa4287e49b4f743211b4c51ea6e33a5199879279bc73240ba2ce08f81f

Aliases

arxiv: 1711.03471 · arxiv_version: 1711.03471v1 · doi: 10.48550/arxiv.1711.03471 · pith_short_12: OYKNRKSCQ7SJ · pith_short_16: OYKNRKSCQ7SJWT3U · pith_short_8: OYKNRKSC

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/OYKNRKSCQ7SJWT3UGII3JRI6U3 \
  | 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: 7614d8aa4287e49b4f743211b4c51ea6e33a5199879279bc73240ba2ce08f81f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba1abe17a0a1652199221fa4a9d0c2d76c738adab9e41e827e4c0a8de540abd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-09T16:54:51Z",
    "title_canon_sha256": "af2d522d406bdeaf84d8442cfce3bc5d4880f61e6b6278fe876befb4a8293308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03471",
    "kind": "arxiv",
    "version": 1
  }
}