Pith Number

pith:FK2KKPTW

pith:2020:FK2KKPTWKLPEIYVGIWYK525QYF

not attested not anchored not stored refs pending

On Gibbs states of mechanical systems with symmetries

Charles-Michel Marle

arxiv:2012.00582 v2 · 2020-12-01 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FK2KKPTWKLPEIYVGIWYK525QYF}

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	2026-07-05T02:06:44.742903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab4a53e7652de4462a645b0aeebb0c15fce4bcef670b6d27afc8d0436435fee

Aliases

arxiv: 2012.00582 · arxiv_version: 2012.00582v2 · doi: 10.48550/arxiv.2012.00582 · pith_short_12: FK2KKPTWKLPE · pith_short_16: FK2KKPTWKLPEIYVG · pith_short_8: FK2KKPTW

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/FK2KKPTWKLPEIYVGIWYK525QYF \
  | 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: 2ab4a53e7652de4462a645b0aeebb0c15fce4bcef670b6d27afc8d0436435fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a4641c723a3bc9f48bb49daf7c52f71407ce5aa91cb3d460b861e901ac8e5c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-12-01T15:39:20Z",
    "title_canon_sha256": "43553a0645376012b4e93793fc1ec8bbc4545fabb4f46e678734238266d540bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.00582",
    "kind": "arxiv",
    "version": 2
  }
}