Pith Number

pith:OXPHNTXP

pith:2019:OXPHNTXP56C6QLEF44VP7CA27W

not attested not anchored not stored refs pending

Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds

Daniel Tenbrinck, Jos\'e Vidal-N\'u\~nez, Maur\'icio Silva Louzeiro, Roland Herzog, Ronny Bergmann

arxiv:1908.02022 v4 · 2019-08-06 · math.NA · cs.NA · 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{OXPHNTXP56C6QLEF44VP7CA27W}

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

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization

Receipt and verification

First computed	2026-07-05T07:47:51.732690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75de76ceefef85e82c85e72aff881afd9149a6589610b90396cb62e81e42060f

Aliases

arxiv: 1908.02022 · arxiv_version: 1908.02022v4 · doi: 10.48550/arxiv.1908.02022 · pith_short_12: OXPHNTXP56C6 · pith_short_16: OXPHNTXP56C6QLEF · pith_short_8: OXPHNTXP

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/OXPHNTXP56C6QLEF44VP7CA27W \
  | 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: 75de76ceefef85e82c85e72aff881afd9149a6589610b90396cb62e81e42060f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929f6ca990335b1755849daaad918ea1e1923638dbcdb562fe2e24a4c64bb2f3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-06T08:55:32Z",
    "title_canon_sha256": "71b938836dee81ef6d481581a8560a0b4777e8392d561048f616e6559696ed02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02022",
    "kind": "arxiv",
    "version": 4
  }
}