Pith Number

pith:RJUGOKFT

pith:2024:RJUGOKFTQ3D63KBY7HRGQB2LUU

not attested not anchored not stored refs pending

Beyond Euclid: An Illustrated Guide to Modern Machine Learning with Geometric, Topological, and Algebraic Structures

Abby Bertics, Christian Shewmake, Domas Buracas, Fatih Dinc, Hansen J Lillemark, Johan Mathe, Louisa Cornelis, Mathilde Papillon, Nina Miolane, Sophia Sanborn, Xavier Pennec

arxiv:2407.09468 v2 · 2024-07-12 · 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{RJUGOKFTQ3D63KBY7HRGQB2LUU}

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

From Gradient Descent to Harmonic Interpolation: A Geometric Theory of Binary Classification

Receipt and verification

First computed	2026-07-05T11:42:21.907256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a686728b386c7eda838f9e268074ba53230aa2f6ba01aecf81071805799b13c

Aliases

arxiv: 2407.09468 · arxiv_version: 2407.09468v2 · doi: 10.48550/arxiv.2407.09468 · pith_short_12: RJUGOKFTQ3D6 · pith_short_16: RJUGOKFTQ3D63KBY · pith_short_8: RJUGOKFT

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/RJUGOKFTQ3D63KBY7HRGQB2LUU \
  | 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: 8a686728b386c7eda838f9e268074ba53230aa2f6ba01aecf81071805799b13c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d7151846e6c22092da0b6dcc2a699332798aa3567dbfff511e79128c4c64c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-07-12T17:48:36Z",
    "title_canon_sha256": "ffa5c19a24987dad4abf3f618828dcabeb195e619a89e5f22342c12d41b4ce9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.09468",
    "kind": "arxiv",
    "version": 2
  }
}