Pith Number

pith:SXKINSDQ

pith:2019:SXKINSDQ2XJN6VZYRLKRV3Z4K2

not attested not anchored not stored refs pending

Trivializations for Gradient-Based Optimization on Manifolds

Mario Lezcano-Casado

arxiv:1909.09501 v2 · 2019-09-20 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXKINSDQ2XJN6VZYRLKRV3Z4K2}

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

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces

Receipt and verification

First computed	2026-07-05T00:14:45.021023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95d486c870d5d2df57388ad51aef3c56b682fbb03e1906d9d0573d53d1f94edd

Aliases

arxiv: 1909.09501 · arxiv_version: 1909.09501v2 · doi: 10.48550/arxiv.1909.09501 · pith_short_12: SXKINSDQ2XJN · pith_short_16: SXKINSDQ2XJN6VZY · pith_short_8: SXKINSDQ

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/SXKINSDQ2XJN6VZYRLKRV3Z4K2 \
  | 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: 95d486c870d5d2df57388ad51aef3c56b682fbb03e1906d9d0573d53d1f94edd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ba23f97dcb0e38df1ed0d8943e871cf9ff804378ad7f776a20e4574c0eabcc",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-09-20T13:41:43Z",
    "title_canon_sha256": "33d35c7bf99e5dcc91ef3057bcc0e2425956cb95f7a0bf8a08724f7654c003d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.09501",
    "kind": "arxiv",
    "version": 2
  }
}