Pith Number

pith:54ZNB4I3

pith:2021:54ZNB4I3KTPGOWLV7DRKKEIY34

not attested not anchored not stored refs pending

On the Value of Multistage Risk-Averse Stochastic Facility Location With or Without Prioritization

Siqian Shen, Xian Yu

arxiv:2105.11005 v2 · 2021-05-23 · 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{54ZNB4I3KTPGOWLV7DRKKEIY34}

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

Flexible and Reliable Network Design for Emerging Transportation Services: Multi-stage Stochastic Programming Approach

Receipt and verification

First computed	2026-07-05T04:40:45.080641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef32d0f11b54de675975f8e2a51118df1e3c799255b7392d9163a3bac651ee7b

Aliases

arxiv: 2105.11005 · arxiv_version: 2105.11005v2 · doi: 10.48550/arxiv.2105.11005 · pith_short_12: 54ZNB4I3KTPG · pith_short_16: 54ZNB4I3KTPGOWLV · pith_short_8: 54ZNB4I3

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/54ZNB4I3KTPGOWLV7DRKKEIY34 \
  | 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: ef32d0f11b54de675975f8e2a51118df1e3c799255b7392d9163a3bac651ee7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a55283b0452cc3d1c093702435148833fb9c975da7a9e8f9008eddd053c247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-05-23T19:34:29Z",
    "title_canon_sha256": "1f1b1b3b3ace5b6202030c72dbcb742f7dec72af026cdd40d45a5d9ce58934de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.11005",
    "kind": "arxiv",
    "version": 2
  }
}