Pith Number

pith:XQPIQ7RS

pith:2015:XQPIQ7RSEZK3F4S6DDU5QA6VHS

not attested not anchored not stored refs pending

Two-sided linear chance constraints and extensions

Daniel Bienstock, Juan Pablo Vielma, Miles Lubin

arxiv:1507.01995 v2 · 2015-07-08 · 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{XQPIQ7RSEZK3F4S6DDU5QA6VHS}

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	2026-05-18T01:19:53.754276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1e887e322655b2f25e18e9d803d53c91e28087c3cd6a1bb599bd62c677a7d6

Aliases

arxiv: 1507.01995 · arxiv_version: 1507.01995v2 · doi: 10.48550/arxiv.1507.01995 · pith_short_12: XQPIQ7RSEZK3 · pith_short_16: XQPIQ7RSEZK3F4S6 · pith_short_8: XQPIQ7RS

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/XQPIQ7RSEZK3F4S6DDU5QA6VHS \
  | 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: bc1e887e322655b2f25e18e9d803d53c91e28087c3cd6a1bb599bd62c677a7d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ebcaf4979d2ed84ea43769a82be8c7defa3e52d3126ca17b26eee5ca49018ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-08T00:02:08Z",
    "title_canon_sha256": "4c1fc3572d199a467b4f79cbc7995d77b2dbdc6e93839bf22b9ea1c475846722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01995",
    "kind": "arxiv",
    "version": 2
  }
}