Pith Number

pith:6BONUE5B

pith:2020:6BONUE5BON2CXM43G2U4HA7AJI

not attested not anchored not stored refs pending

Optimal Thermodynamic Processes For Gases

Alexei Kushner, Mikhail Roop, Valentin Lychagin

arxiv:2003.01984 v1 · 2020-03-04 · math-ph · 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{6BONUE5BON2CXM43G2U4HA7AJI}

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	2026-07-05T01:04:17.427093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f05cda13a173742bb39b36a9c383e04a20a1373936a2d3d8a3a1893575523ab1

Aliases

arxiv: 2003.01984 · arxiv_version: 2003.01984v1 · doi: 10.48550/arxiv.2003.01984 · pith_short_12: 6BONUE5BON2C · pith_short_16: 6BONUE5BON2CXM43 · pith_short_8: 6BONUE5B

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/6BONUE5BON2CXM43G2U4HA7AJI \
  | 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: f05cda13a173742bb39b36a9c383e04a20a1373936a2d3d8a3a1893575523ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "030b487f62d7efcf96a42efe656781ddc181e9a888747e1c4dbbe694913084bb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-03-04T10:37:16Z",
    "title_canon_sha256": "474390ffe515992402c3dc8d256be8c2fb20ee37d0c6d456cee72a16435e1282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.01984",
    "kind": "arxiv",
    "version": 1
  }
}