Pith Number

pith:YE4KERP4

pith:2017:YE4KERP4TOJQMOMXF564ZAD23B

not attested not anchored not stored refs pending

Fluctuation of the entropy production for the Lorentz gas under small external forces

Hong-Kun Zhang, Luc Rey-Bellet, Mark Demers

arxiv:1712.01112 v1 · 2017-11-30 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YE4KERP4TOJQMOMXF564ZAD23B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:04:59.987969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c138a245fc9b930639972f7dcc807ad87faed120287f27026e63a31b3527982a

Aliases

arxiv: 1712.01112 · arxiv_version: 1712.01112v1 · doi: 10.48550/arxiv.1712.01112 · pith_short_12: YE4KERP4TOJQ · pith_short_16: YE4KERP4TOJQMOMX · pith_short_8: YE4KERP4

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/YE4KERP4TOJQMOMXF564ZAD23B \
  | 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: c138a245fc9b930639972f7dcc807ad87faed120287f27026e63a31b3527982a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34356a4db3b867a632a3836a46686ef7ec3911c7a0972350a83ed4f31d6ca5e3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-30T21:28:14Z",
    "title_canon_sha256": "b593780537994ac487014adf23c5c45ba25502cec400f20494ae61f123e363fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01112",
    "kind": "arxiv",
    "version": 1
  }
}