Pith Number

pith:RUFWL4Z2

pith:2011:RUFWL4Z2KJT6T33KPRVTV7JUCQ

not attested not anchored not stored refs pending

Decomposition algorithms for globally solving mathematical programs with affine equilibrium constraints

Le Dung Muu, Le Thi Hoai An, Pham Dinh Tao, Tran Dinh Quoc

arxiv:1105.3343 v1 · 2011-05-17 · 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{RUFWL4Z2KJT6T33KPRVTV7JUCQ}

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	2026-05-18T04:22:00.218350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d0b65f33a5267e9ef6a7c6b3afd341421499c6daff3ece161b68a0f5448dc33

Aliases

arxiv: 1105.3343 · arxiv_version: 1105.3343v1 · doi: 10.48550/arxiv.1105.3343 · pith_short_12: RUFWL4Z2KJT6 · pith_short_16: RUFWL4Z2KJT6T33K · pith_short_8: RUFWL4Z2

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/RUFWL4Z2KJT6T33KPRVTV7JUCQ \
  | 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: 8d0b65f33a5267e9ef6a7c6b3afd341421499c6daff3ece161b68a0f5448dc33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d607f418dbdec4f15c7894419500de0412d858e9798fa5f2fae35c6766d71267",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-05-17T11:27:48Z",
    "title_canon_sha256": "8f0ba548d624b941ff30af24abda31f45e4dd37c65516736656c28d85f8a6752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3343",
    "kind": "arxiv",
    "version": 1
  }
}