Pith Number

pith:KNZULSNG

pith:2023:KNZULSNGGYXCE6SGGOVLS3RYSM

not attested not anchored not stored refs pending

ADPBA: Efficiently generating Lagrangian cuts for two-stage stochastic integer programs

Chuanhou Gao, Mingming Xu, Xiaoyu Luo

arxiv:2312.16445 v1 · 2023-12-27 · 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{KNZULSNGGYXCE6SGGOVLS3RYSM}

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	2026-07-05T07:28:17.413274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

537345c9a6362e227a4633aab96e389339aaf86d7d8d91ca9a4544d0dd039cf2

Aliases

arxiv: 2312.16445 · arxiv_version: 2312.16445v1 · doi: 10.48550/arxiv.2312.16445 · pith_short_12: KNZULSNGGYXC · pith_short_16: KNZULSNGGYXCE6SG · pith_short_8: KNZULSNG

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/KNZULSNGGYXCE6SGGOVLS3RYSM \
  | 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: 537345c9a6362e227a4633aab96e389339aaf86d7d8d91ca9a4544d0dd039cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e721d002a00fa50b3eac1fe4113e65520460bb485a146204890e526ec4a458",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-12-27T07:19:45Z",
    "title_canon_sha256": "cb3720e7769964c501a12352bb75e9f817498fe26af8a0cc6f2382c90f3e9051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.16445",
    "kind": "arxiv",
    "version": 1
  }
}