Pith Number

pith:NHC4ET4K

pith:2013:NHC4ET4KBOGRXN4LWVU5GNFW7C

not attested not anchored not stored refs pending

An alternative proof of a PTAS for fixed-degree polynomial optimization over the simplex

Etienne de Klerk, Monique Laurent, Zhao Sun

arxiv:1311.0173 v3 · 2013-11-01 · 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{NHC4ET4KBOGRXN4LWVU5GNFW7C}

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	2026-05-18T02:39:16.722967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c5c24f8a0b8d1bb78bb569d334b6f8a197eee53d8a0d6001296a27aa9a05ea

Aliases

arxiv: 1311.0173 · arxiv_version: 1311.0173v3 · doi: 10.48550/arxiv.1311.0173 · pith_short_12: NHC4ET4KBOGR · pith_short_16: NHC4ET4KBOGRXN4L · pith_short_8: NHC4ET4K

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/NHC4ET4KBOGRXN4LWVU5GNFW7C \
  | 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: 69c5c24f8a0b8d1bb78bb569d334b6f8a197eee53d8a0d6001296a27aa9a05ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4de6bdfe419b4c3f7d387a2ceee7a7927e169085ac8a2c2f5bc3ed842138c87f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-01T13:08:34Z",
    "title_canon_sha256": "5886b3926219e95d2c096f54f910c233961b7e5aa1825af1bfe6c902ba19b45d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0173",
    "kind": "arxiv",
    "version": 3
  }
}