Pith Number

pith:UM5EELSK

pith:2022:UM5EELSKISOJPZHRCTZGZT6QFL

not attested not anchored not stored refs pending

A general model-and-run solver for multistage robust discrete linear optimization

Michael Hartisch, Ulf Lorenz

arxiv:2210.11132 v1 · 2022-10-20 · math.OC · cs.DM · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UM5EELSKISOJPZHRCTZGZT6QFL}

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.

Cited by

1 paper in Pith

An Expansion-Based Approach for Quantified Integer Programming

Receipt and verification

First computed	2026-07-05T05:08:44.495113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33a422e4a449c97e4f114f26ccfd02ac5c11fc1ef9509f2c830ceb6a1d8bf1b

Aliases

arxiv: 2210.11132 · arxiv_version: 2210.11132v1 · doi: 10.48550/arxiv.2210.11132 · pith_short_12: UM5EELSKISOJ · pith_short_16: UM5EELSKISOJPZHR · pith_short_8: UM5EELSK

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/UM5EELSKISOJPZHRCTZGZT6QFL \
  | 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: a33a422e4a449c97e4f114f26ccfd02ac5c11fc1ef9509f2c830ceb6a1d8bf1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76e69fa75d2cb0f9123459e060c88c544c05c83441636b4bba0c48fc533daadd",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-10-20T09:49:24Z",
    "title_canon_sha256": "c5a199699aebd9572c683411bf7541066e7e6bb9dc9ec5827feb91524bf41b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.11132",
    "kind": "arxiv",
    "version": 1
  }
}