Pith. sign in
Pith Number

pith:QIZFTT6R

pith:2023:QIZFTT6R5LAOUIRT4BGXYHSKDB
not attested not anchored not stored refs pending

The functional generalization of the Boltzmann-Vlasov equation and its Gauge-like symmetry

Giorgio Torrieri

arxiv:2309.05154 v2 · 2023-09-10 · cond-mat.stat-mech · hep-ph · hep-th · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QIZFTT6R5LAOUIRT4BGXYHSKDB}

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

Receipt and verification
First computed 2026-07-05T07:55:13.240205Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

823259cfd1eac0ea2233e04d7c1e4a186d28a9d08acfb66c94f73f85b40dd1b3

Aliases

arxiv: 2309.05154 · arxiv_version: 2309.05154v2 · doi: 10.48550/arxiv.2309.05154 · pith_short_12: QIZFTT6R5LAO · pith_short_16: QIZFTT6R5LAOUIRT · pith_short_8: QIZFTT6R
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QIZFTT6R5LAOUIRT4BGXYHSKDB \
  | 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: 823259cfd1eac0ea2233e04d7c1e4a186d28a9d08acfb66c94f73f85b40dd1b3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "243a1d033129ef04d8a35d0aba974e21d9a0c835c3772b3fa46b84c5e3e86bd6",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2023-09-10T22:07:47Z",
    "title_canon_sha256": "60a932ee9f5cc140792836dd4f826f4b2db722013dcf66702a09e053b12c4091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.05154",
    "kind": "arxiv",
    "version": 2
  }
}