Pith Number

pith:6OH2HXAX

pith:2016:6OH2HXAXLJKRURYUPSS5KUB5CO

not attested not anchored not stored refs pending

Sparsity Constrained Minimization via Mathematical Programming with Equilibrium Constraints

Bernard Ghanem, Ganzhao Yuan

arxiv:1608.04430 v3 · 2016-08-15 · 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{6OH2HXAXLJKRURYUPSS5KUB5CO}

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.

Cited by

1 paper in Pith

Sharp-Peak Functions for Exactly Penalizing Binary Integer Programming

Receipt and verification

First computed	2026-05-17T23:57:19.773275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38fa3dc175a551a47147ca5d5503d13b97b22e9454d5db38eafb66480a9240e

Aliases

arxiv: 1608.04430 · arxiv_version: 1608.04430v3 · doi: 10.48550/arxiv.1608.04430 · pith_short_12: 6OH2HXAXLJKR · pith_short_16: 6OH2HXAXLJKRURYU · pith_short_8: 6OH2HXAX

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/6OH2HXAXLJKRURYUPSS5KUB5CO \
  | 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: f38fa3dc175a551a47147ca5d5503d13b97b22e9454d5db38eafb66480a9240e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16747dec49ecdf42747c709f4cdfd4d1660df063c4b94b737aac89f8f31cdd04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-15T22:46:35Z",
    "title_canon_sha256": "3a0ea0aa8b9108cb93f9fb64be8231f849f0b96b194a699607c2b1610b34ae22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04430",
    "kind": "arxiv",
    "version": 3
  }
}