Pith Number

pith:UKP2VYIR

pith:2026:UKP2VYIRU6H727LCDE6VLMPE25

not attested not anchored not stored refs pending

Entropy production in Knudsen thermodynamics of compartmented systems

Renato Feres, Timothy Chumley, Zhenyi Zhang

arxiv:2607.18202 v1 · 2026-07-20 · math-ph · math.DS · 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{UKP2VYIRU6H727LCDE6VLMPE25}

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	2026-07-21T02:22:27.279975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29faae111a78ffd7d62193d55b1e4d7561cef647d28e41101d9e977d7c7e8ed

Aliases

arxiv: 2607.18202 · arxiv_version: 2607.18202v1 · doi: 10.48550/arxiv.2607.18202 · pith_short_12: UKP2VYIRU6H7 · pith_short_16: UKP2VYIRU6H727LC · pith_short_8: UKP2VYIR

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/UKP2VYIRU6H727LCDE6VLMPE25 \
  | 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: a29faae111a78ffd7d62193d55b1e4d7561cef647d28e41101d9e977d7c7e8ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "983adefccea2002264cfd147b70988f9cc2bbdb11308086db63d5b52b34b8e70",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-20T17:42:07Z",
    "title_canon_sha256": "a6abbd63195f6aa7d7eb2414663564da2254b4908598e321077cfe5a3df43757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18202",
    "kind": "arxiv",
    "version": 1
  }
}