Pith Number

pith:7PV47V44

pith:2014:7PV47V44NFY6JDL4TWA446NQUL

not attested not anchored not stored refs pending

On Weak and Strong Convergence of the Projected Gradient Method for Convex Optimization in real Hilbert Spaces

Jose Yunier Bello Cruz, Welington de Oliveira

arxiv:1402.5884 v3 · 2014-02-24 · 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{7PV47V44NFY6JDL4TWA446NQUL}

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	2026-05-18T01:35:40.438642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbebcfd79c6971e48d7c9d81ce79b0a2d24bcc81e4e03071577680c6c2905591

Aliases

arxiv: 1402.5884 · arxiv_version: 1402.5884v3 · doi: 10.48550/arxiv.1402.5884 · pith_short_12: 7PV47V44NFY6 · pith_short_16: 7PV47V44NFY6JDL4 · pith_short_8: 7PV47V44

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/7PV47V44NFY6JDL4TWA446NQUL \
  | 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: fbebcfd79c6971e48d7c9d81ce79b0a2d24bcc81e4e03071577680c6c2905591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19b9fa60e23fe2ab3ac8a520e2c1cea7b924b2cac4192f5366f5a9c87287d59a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-02-24T16:54:01Z",
    "title_canon_sha256": "aacb4c0ac801c5ad78d57f3597ecdc8fedb4404110bce05e266d645933693945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5884",
    "kind": "arxiv",
    "version": 3
  }
}