Pith Number

pith:RC7ORQKM

pith:2025:RC7ORQKMJ2Y34KPNEBIGFKRI6W

not attested not anchored not stored refs pending

Thermodynamics a la Souriau on K\"ahler Non Compact Symmetric Spaces for Cartan Neural Networks

Alexander S. Sorin, Mario Trigiante, Pietro G. Fr\'e

arxiv:2512.16772 v3 · 2025-12-18 · cs.IT · math-ph · math.DG · math.DS · math.IT · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RC7ORQKMJ2Y34KPNEBIGFKRI6W}

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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	2026-06-10T01:09:50.766850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88bee8c14c4eb1be29ed205062aa28f5bda1ad5ab55457e261b2f386a04419f0

Aliases

arxiv: 2512.16772 · arxiv_version: 2512.16772v3 · doi: 10.48550/arxiv.2512.16772 · pith_short_12: RC7ORQKMJ2Y3 · pith_short_16: RC7ORQKMJ2Y34KPN · pith_short_8: RC7ORQKM

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/RC7ORQKMJ2Y34KPNEBIGFKRI6W \
  | 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: 88bee8c14c4eb1be29ed205062aa28f5bda1ad5ab55457e261b2f386a04419f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1435e43debf8ea442d10ea37908d91bc35e20745b9c9d6eb29fc367f7fa7dac6",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.DS",
      "math.IT",
      "math.MP",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-12-18T17:04:43Z",
    "title_canon_sha256": "c23c5b9f79710513ce0589394fefd6aa113f1dac3cbe4fcfaa60ddd4a790a388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16772",
    "kind": "arxiv",
    "version": 3
  }
}