Pith Number

pith:KR562SSW

pith:2018:KR562SSW4GP6BDIDIV7WQU7X7T

not attested not anchored not stored refs pending

Gradient descent in hyperbolic space

Benjamin Wilson, Matthias Leimeister

arxiv:1805.08207 v2 · 2018-05-18 · 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{KR562SSW4GP6BDIDIV7WQU7X7T}

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

A Riemannian gradient descent method for optimization on the indefinite Stiefel manifold

Receipt and verification

First computed	2026-05-18T00:08:20.671754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

547bed4a56e19fe08d03457f6853f7fcfea673f98e8af8e32150801549667118

Aliases

arxiv: 1805.08207 · arxiv_version: 1805.08207v2 · doi: 10.48550/arxiv.1805.08207 · pith_short_12: KR562SSW4GP6 · pith_short_16: KR562SSW4GP6BDID · pith_short_8: KR562SSW

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/KR562SSW4GP6BDIDIV7WQU7X7T \
  | 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: 547bed4a56e19fe08d03457f6853f7fcfea673f98e8af8e32150801549667118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8a00e5837f7fb905aa9f04ef69ab8234851c7f229aa990b13e4a688e81259d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-18T22:15:03Z",
    "title_canon_sha256": "3679f33cb8844b62edf28d5d91c0f7464c2ed94179476cdb4e0e0bc0f6d379fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08207",
    "kind": "arxiv",
    "version": 2
  }
}