Pith Number

pith:4G2CNAO7

pith:2014:4G2CNAO75NPGUL75FHFA564GUI

not attested not anchored not stored refs pending

An error analysis for polynomial optimization over the simplex based on the multivariate hypergeometric distribution

Etienne de Klerk, Monique Laurent, Zhao Sun

arxiv:1407.2108 v1 · 2014-07-08 · 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{4G2CNAO75NPGUL75FHFA564GUI}

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	2026-05-18T02:48:08.409590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b42681dfeb5e6a2ffd29ca0efb86a2227d3050ac40287a4956a81aab9c4957

Aliases

arxiv: 1407.2108 · arxiv_version: 1407.2108v1 · doi: 10.48550/arxiv.1407.2108 · pith_short_12: 4G2CNAO75NPG · pith_short_16: 4G2CNAO75NPGUL75 · pith_short_8: 4G2CNAO7

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/4G2CNAO75NPGUL75FHFA564GUI \
  | 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: e1b42681dfeb5e6a2ffd29ca0efb86a2227d3050ac40287a4956a81aab9c4957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b8fdf5bd0643358cf1bfe96d7c016d62dd22a59b19ecb5719445b82840358c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-07-08T14:32:49Z",
    "title_canon_sha256": "ad968a51408aaa9073de71b8326322c5a757f3483702d6173cbfaab956613df1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2108",
    "kind": "arxiv",
    "version": 1
  }
}