Pith Number

pith:RI4TRO4J

pith:2021:RI4TRO4JNE3VCQ2WG4BQFADR2W

not attested not anchored not stored refs pending

A Linear Outer Approximation of Line Losses for DC-based Optimal Power Flow Problems

Haoruo Zhao, Mathieu Tanneau, Pascal Van Hentenryck

arxiv:2112.10975 v2 · 2021-12-21 · 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{RI4TRO4JNE3VCQ2WG4BQFADR2W}

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	2026-07-05T03:43:46.843413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a3938bb8969375143563703028071d5ab925f308c0d1090aa2946bfc9c86ea8

Aliases

arxiv: 2112.10975 · arxiv_version: 2112.10975v2 · doi: 10.48550/arxiv.2112.10975 · pith_short_12: RI4TRO4JNE3V · pith_short_16: RI4TRO4JNE3VCQ2W · pith_short_8: RI4TRO4J

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/RI4TRO4JNE3VCQ2WG4BQFADR2W \
  | 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: 8a3938bb8969375143563703028071d5ab925f308c0d1090aa2946bfc9c86ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5e56a46cd9510545268fdffeb856d4feeff97d0d73f7c93a0a582201efcad29",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-12-21T04:11:46Z",
    "title_canon_sha256": "1fc6a880e7ba06bf2b3ac3fd5167eeee1a8b866e521c2912fe4c6a90e241f064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10975",
    "kind": "arxiv",
    "version": 2
  }
}