Pith Number

pith:I4D6ATAU

pith:2011:I4D6ATAUWPOS7KW7VVHBKPEFEG

not attested not anchored not stored refs pending

Multiple response optimisation: Multiobjective stochastic programming methods

Jose A. Diaz-Garcia, Mahdi Bashiri

arxiv:1105.2911 v1 · 2011-05-14 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4D6ATAUWPOS7KW7VVHBKPEFEG}

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	2026-05-18T04:22:01.771528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4707e04c14b3dd2faadfad4e153c8521a68889732c645c9cd932195cb8182a30

Aliases

arxiv: 1105.2911 · arxiv_version: 1105.2911v1 · doi: 10.48550/arxiv.1105.2911 · pith_short_12: I4D6ATAUWPOS · pith_short_16: I4D6ATAUWPOS7KW7 · pith_short_8: I4D6ATAU

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/I4D6ATAUWPOS7KW7VVHBKPEFEG \
  | 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: 4707e04c14b3dd2faadfad4e153c8521a68889732c645c9cd932195cb8182a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45d4b6e1ddf487cd0239e135c632b57f0af0cba6f58d5ed5e5193697f0b8d78",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-05-14T19:44:21Z",
    "title_canon_sha256": "d2ccabe4292990a2c0c870dd08d9b9b3df78b60dd1bcad0c54939c236e702cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2911",
    "kind": "arxiv",
    "version": 1
  }
}