Pith Number

pith:WQIE22YA

pith:2024:WQIE22YALQBTKJOJBWXR7UWBI6

not attested not anchored not stored refs pending

Horoballs and the subgradient method

Adriana Nicolae, Adrian S. Lewis, Genaro Lopez-Acedo

arxiv:2403.15749 v2 · 2024-03-23 · math.OC · cs.CC · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQIE22YALQBTKJOJBWXR7UWBI6}

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

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

Receipt and verification

First computed	2026-07-05T08:03:50.572685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4104d6b005c033525c90daf1fd2c147aed2df7a4bfbff7f81165b2a1ac29c47

Aliases

arxiv: 2403.15749 · arxiv_version: 2403.15749v2 · doi: 10.48550/arxiv.2403.15749 · pith_short_12: WQIE22YALQBT · pith_short_16: WQIE22YALQBTKJOJ · pith_short_8: WQIE22YA

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/WQIE22YALQBTKJOJBWXR7UWBI6 \
  | 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: b4104d6b005c033525c90daf1fd2c147aed2df7a4bfbff7f81165b2a1ac29c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7914bce87f23368dda822a06d64e045095cd1be05ddb96d27f8b69f103d64d6f",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-03-23T07:34:18Z",
    "title_canon_sha256": "86a3494ae18b9b73ec3bc2a3166289d3afa786b85e99b8b1147da41a915581a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.15749",
    "kind": "arxiv",
    "version": 2
  }
}