Pith Number

pith:KKGWMTPF

pith:2019:KKGWMTPFJ5FBILU5YISWRMQZIQ

not attested not anchored not stored refs pending

A Flexible Multi-Facility Capacity Expansion Problem with Risk Aversion

Michel-Alexandre Cardin, Sixiang Zhao, William B. Haskell

arxiv:1905.05328 v1 · 2019-05-14 · 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{KKGWMTPFJ5FBILU5YISWRMQZIQ}

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	2026-05-17T23:46:16.821298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528d664de54f4a142e9dc22568b21944187e7c4725ec5ce6b4213b093ec4692e

Aliases

arxiv: 1905.05328 · arxiv_version: 1905.05328v1 · doi: 10.48550/arxiv.1905.05328 · pith_short_12: KKGWMTPFJ5FB · pith_short_16: KKGWMTPFJ5FBILU5 · pith_short_8: KKGWMTPF

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/KKGWMTPFJ5FBILU5YISWRMQZIQ \
  | 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: 528d664de54f4a142e9dc22568b21944187e7c4725ec5ce6b4213b093ec4692e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca5e30128cc439aef883cc7333815de02ca5ddb776e9101e923c7c3a9e4891f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-05-14T00:43:16Z",
    "title_canon_sha256": "3fb7ee19f2f7473f99114b942b517fecdac087b72e2557e2709f57bc4d4cabef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05328",
    "kind": "arxiv",
    "version": 1
  }
}