Pith Number

pith:Z4XM42UN

pith:2022:Z4XM42UNHCTWTZ2S7BNKDBZY7H

not attested not anchored not stored refs pending

An inexact column-and-constraint generation method to solve two-stage robust optimization problems

Frank E. Curtis, Karmel S. Shehadeh, Man Yiu Tsang

arxiv:2207.03291 v2 · 2022-07-07 · 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{Z4XM42UNHCTWTZ2S7BNKDBZY7H}

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	2026-07-05T05:13:35.699922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2ece6a8d38a769e752f85aa18738f9f8fe9de3a4a68e041ec9a6e3c69466e5

Aliases

arxiv: 2207.03291 · arxiv_version: 2207.03291v2 · doi: 10.48550/arxiv.2207.03291 · pith_short_12: Z4XM42UNHCTW · pith_short_16: Z4XM42UNHCTWTZ2S · pith_short_8: Z4XM42UN

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/Z4XM42UNHCTWTZ2S7BNKDBZY7H \
  | 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: cf2ece6a8d38a769e752f85aa18738f9f8fe9de3a4a68e041ec9a6e3c69466e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fc83353bbc745fb813a5ebcec87721eef5b510c12602bdde699741125510cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-07-07T13:38:57Z",
    "title_canon_sha256": "216b3885c987b6546eeb9678ab6f559f6f1f768e49f98e2e22dc733b620242e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.03291",
    "kind": "arxiv",
    "version": 2
  }
}