Pith Number

pith:LNXSGRDV

pith:2026:LNXSGRDVRTFJ5B3TP6T27DH7TD

not attested not anchored not stored refs pending

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 magnetizations

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

arxiv:2606.09438 v1 · 2026-06-08 · hep-th · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNXSGRDVRTFJ5B3TP6T27DH7TD}

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.

Receipt and verification

First computed	2026-06-09T02:08:48.522477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6f2344758cca9e87737fa7af8cff98c0ff4885b56a47f34ea56d91f7989782

Aliases

arxiv: 2606.09438 · arxiv_version: 2606.09438v1 · doi: 10.48550/arxiv.2606.09438 · pith_short_12: LNXSGRDVRTFJ · pith_short_16: LNXSGRDVRTFJ5B3T · pith_short_8: LNXSGRDV

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/LNXSGRDVRTFJ5B3TP6T27DH7TD \
  | 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: 5b6f2344758cca9e87737fa7af8cff98c0ff4885b56a47f34ea56d91f7989782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f16d7fbdb500a2aea11180fc22069bba7e8255c75b67499e623e785c1215972",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-08T12:48:27Z",
    "title_canon_sha256": "008b7c6dba5e13f41fc96889f503c1c2ecc33b3295e57b80165919641e6e987f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09438",
    "kind": "arxiv",
    "version": 1
  }
}