Pith Number

pith:FMNIO4LN

pith:2014:FMNIO4LNENWZERDERTAMXHQYHV

not attested not anchored not stored refs pending

Optimization of the marketing mix in the health care industry

Changan Zhang, Danny Jin, Dominique Haughton (SAMM, Gremaq), Guangying Hua, John Lin, Qizhi Wei

arxiv:1403.7971 v1 · 2014-03-31 · math.ST · stat.AP · 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{FMNIO4LNENWZERDERTAMXHQYHV}

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	2026-05-18T02:55:12.062220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b1a87716d236d9244648cc0cb9e183d6907dc246069c2060b297fb749a330f4

Aliases

arxiv: 1403.7971 · arxiv_version: 1403.7971v1 · doi: 10.48550/arxiv.1403.7971 · pith_short_12: FMNIO4LNENWZ · pith_short_16: FMNIO4LNENWZERDE · pith_short_8: FMNIO4LN

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/FMNIO4LNENWZERDERTAMXHQYHV \
  | 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: 2b1a87716d236d9244648cc0cb9e183d6907dc246069c2060b297fb749a330f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "046872a5f0535ef633280ac5b4fdc5aaa28de7129f0736d3549510ebf7856068",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-03-31T12:35:47Z",
    "title_canon_sha256": "febd9a0c0f8345dc98802e0ba5da4f202a50e86634fb1628b7135ccfef01ae9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7971",
    "kind": "arxiv",
    "version": 1
  }
}