Pith Number

pith:PDHZYCNG

pith:2019:PDHZYCNGKIL3D7GM6ZISDLTND2

not attested not anchored not stored refs pending

Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds

Leandro F. Prudente, Maur\'icio S. Louzeiro, Orizon P. Ferreira

arxiv:1906.05975 v1 · 2019-06-14 · 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{PDHZYCNGKIL3D7GM6ZISDLTND2}

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	2026-05-17T23:43:20.151708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78cf9c09a65217b1fcccf65121ae6d1eb2a6ee5338fb43e97df319d58eaf0900

Aliases

arxiv: 1906.05975 · arxiv_version: 1906.05975v1 · doi: 10.48550/arxiv.1906.05975 · pith_short_12: PDHZYCNGKIL3 · pith_short_16: PDHZYCNGKIL3D7GM · pith_short_8: PDHZYCNG

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/PDHZYCNGKIL3D7GM6ZISDLTND2 \
  | 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: 78cf9c09a65217b1fcccf65121ae6d1eb2a6ee5338fb43e97df319d58eaf0900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11e5aac6531cbe01c6ab4346c02987b031e63dd45a668606bab3998ce062240",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-14T01:03:20Z",
    "title_canon_sha256": "6bb7ff54b481b216c7b1cc1429c6e49d42b6192c1ec48d49a1b8b1069a702f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05975",
    "kind": "arxiv",
    "version": 1
  }
}