Pith Number

pith:VDEDT67K

pith:2016:VDEDT67KCS3Q32SF5LAYSP73H6

not attested not anchored not stored refs pending

A rigourous demonstration of the validity of Boltzmann's scenario for the spatial homogenization of a freely expanding gas and the equilibration of the Kac ring

Paul E. Parris, Stephan De Bievre

arxiv:1701.00116 v2 · 2016-12-31 · math-ph · cond-mat.stat-mech · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDEDT67KCS3Q32SF5LAYSP73H6}

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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

Macroscopic Irreversibility in Quantum Systems: Free Expansion in a Fermion Chain

Receipt and verification

First computed	2026-05-18T00:29:51.911526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c839fbea14b70dea45eac1893ffb3f93e2a3996b8d2f66c791c2e6e955498e

Aliases

arxiv: 1701.00116 · arxiv_version: 1701.00116v2 · doi: 10.48550/arxiv.1701.00116 · pith_short_12: VDEDT67KCS3Q · pith_short_16: VDEDT67KCS3Q32SF · pith_short_8: VDEDT67K

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/VDEDT67KCS3Q32SF5LAYSP73H6 \
  | 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: a8c839fbea14b70dea45eac1893ffb3f93e2a3996b8d2f66c791c2e6e955498e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf6d7b86c059f27153ad4ca2b2daaa917eab97e86853a8e6683d135a844d153",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-31T14:55:46Z",
    "title_canon_sha256": "f4958f96481af8bdeadc9fc269eb8b91001cb3fe3367219e97054d3672bcc7f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00116",
    "kind": "arxiv",
    "version": 2
  }
}