Pith Number

pith:55Q5MWMN

pith:2019:55Q5MWMNQPMU7PFPNH7VHIGKU2

not attested not anchored not stored refs pending

Two-stage Stochastic Lot-sizing Problem with Chance-constrained Condition in the Second Stage

Chuanhou Gao, Shabbir Ahmed, Zeyang Zhang

arxiv:1906.05016 v1 · 2019-06-12 · 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{55Q5MWMNQPMU7PFPNH7VHIGKU2}

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	2026-05-17T23:43:29.767142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef61d6598d83d94fbcaf69ff53a0caa6b9ffe1ad47804a5d2c1abffec4c82752

Aliases

arxiv: 1906.05016 · arxiv_version: 1906.05016v1 · doi: 10.48550/arxiv.1906.05016 · pith_short_12: 55Q5MWMNQPMU · pith_short_16: 55Q5MWMNQPMU7PFP · pith_short_8: 55Q5MWMN

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/55Q5MWMNQPMU7PFPNH7VHIGKU2 \
  | 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: ef61d6598d83d94fbcaf69ff53a0caa6b9ffe1ad47804a5d2c1abffec4c82752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a74dc51fc7555bbd4f1bc4e88341b6daa2b6697a7e515596c5ae0943b54800f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-12T09:14:46Z",
    "title_canon_sha256": "7ad4e30bdf128fd1dd11cd20b6706a14fa3faa24dee431c9f15810c19ce3b966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05016",
    "kind": "arxiv",
    "version": 1
  }
}