Pith Number

pith:FI5CM67T

pith:2025:FI5CM67TCN6BA2JDJ4ITHDYRAN

not attested not anchored not stored refs pending

Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks

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

arxiv:2507.16871 v1 · 2025-07-22 · cs.LG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FI5CM67TCN6BA2JDJ4ITHDYRAN}

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	2026-07-05T11:41:57.479692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a3a267bf3137c1069234f11338f11037959623584c0b1a513ba5f23889d9b14

Aliases

arxiv: 2507.16871 · arxiv_version: 2507.16871v1 · doi: 10.48550/arxiv.2507.16871 · pith_short_12: FI5CM67TCN6B · pith_short_16: FI5CM67TCN6BA2JD · pith_short_8: FI5CM67T

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/FI5CM67TCN6BA2JDJ4ITHDYRAN \
  | 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: 2a3a267bf3137c1069234f11338f11037959623584c0b1a513ba5f23889d9b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2a9b8dc0c61f5f3a06651d2ee4a5a3d302d871152d24e981e227a1e6332619",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-22T07:34:53Z",
    "title_canon_sha256": "68d9c975f2136bfa538b6f38925f45e2e3b6af25ddd189c72bd76f9eba564727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16871",
    "kind": "arxiv",
    "version": 1
  }
}