Pith Number

pith:X6CO6I46

pith:2018:X6CO6I46G7I37YGIJSZ7GPSTO3

not attested not anchored not stored refs pending

Multi-Stage Robust Transmission Constrained Unit Commitment: A Decomposition Framework with Implicit Decision Rules

Qiaozhu Zhai, Xiaohong Guan, Xuan Li

arxiv:1810.07447 v1 · 2018-10-17 · 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{X6CO6I46G7I37YGIJSZ7GPSTO3}

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	2026-05-18T00:02:56.374029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf84ef239e37d1bfe0c84cb3f33e5376d5bddb97b3d75bf1f107c713584746c9

Aliases

arxiv: 1810.07447 · arxiv_version: 1810.07447v1 · doi: 10.48550/arxiv.1810.07447 · pith_short_12: X6CO6I46G7I3 · pith_short_16: X6CO6I46G7I37YGI · pith_short_8: X6CO6I46

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/X6CO6I46G7I37YGIJSZ7GPSTO3 \
  | 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: bf84ef239e37d1bfe0c84cb3f33e5376d5bddb97b3d75bf1f107c713584746c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "667038a8964e47eecc7b025e3d7bff9354b6af044467665a2f30388050464898",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-17T09:25:39Z",
    "title_canon_sha256": "21e66d10989e013b397d62d1ca69efb8a0fd78bcd04543b748fe2eaa64fff620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07447",
    "kind": "arxiv",
    "version": 1
  }
}