Pith Number

pith:E6TJG3LQ

pith:2025:E6TJG3LQUFZDSKU7MHNJLPBO5X

not attested not anchored not stored refs pending

Cartan Networks: Group theoretical Hyperbolic Deep Learning

Federico Milanesio, Guido Sanguinetti, Matteo Santoro, Pietro G. Fr\'e

arxiv:2505.24353 v1 · 2025-05-30 · 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{E6TJG3LQUFZDSKU7MHNJLPBO5X}

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

The macroscopic Kaehler metric of Geometric Thermodynamics versus the microscopic one on the Event Manifold: Exact Partition Functions on CV manifolds. Extended Souriau temperatures and spontaneous ma

Receipt and verification

First computed	2026-07-05T11:12:47.415838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a6936d70a172392a9f61da95bc2eedd518b6eca6060c7f2e78181dd74a6e70

Aliases

arxiv: 2505.24353 · arxiv_version: 2505.24353v1 · doi: 10.48550/arxiv.2505.24353 · pith_short_12: E6TJG3LQUFZD · pith_short_16: E6TJG3LQUFZDSKU7 · pith_short_8: E6TJG3LQ

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/E6TJG3LQUFZDSKU7MHNJLPBO5X \
  | 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: 27a6936d70a172392a9f61da95bc2eedd518b6eca6060c7f2e78181dd74a6e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a700a2c459443be09103ed19550c1d681663208481742759d47b7fbd4082c42",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-30T08:45:53Z",
    "title_canon_sha256": "f2fb87de121edbc04f36c5753f7e5aa296fd60b9bedacaf94ae9453515b65ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24353",
    "kind": "arxiv",
    "version": 1
  }
}