Pith Number

pith:LYMFCJD7

pith:2013:LYMFCJD72Z2K5UX3OWL5BBQBLE

not attested not anchored not stored refs pending

Global Solutions to Nonconvex Optimization of 4th-Order Polynomial and Log-Sum-Exp Functions

David Y Gao, Yi Chen

arxiv:1308.4732 v3 · 2013-08-21 · 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{LYMFCJD72Z2K5UX3OWL5BBQBLE}

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	2026-05-18T03:00:49.304891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e1851247fd674aed2fb7597d08601592e93adc25332e94f167f528edeb1fa88

Aliases

arxiv: 1308.4732 · arxiv_version: 1308.4732v3 · doi: 10.48550/arxiv.1308.4732 · pith_short_12: LYMFCJD72Z2K · pith_short_16: LYMFCJD72Z2K5UX3 · pith_short_8: LYMFCJD7

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/LYMFCJD72Z2K5UX3OWL5BBQBLE \
  | 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: 5e1851247fd674aed2fb7597d08601592e93adc25332e94f167f528edeb1fa88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "363c96b287f39f42beb1e8efe983f45916ee33080566540e9a91a74a21f68bf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-08-21T22:43:44Z",
    "title_canon_sha256": "dbd60b893b74d21d217009438ba8c295285465932549fc8c5feded8932c7c4af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4732",
    "kind": "arxiv",
    "version": 3
  }
}