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Pith Number

pith:XB6LZSML

pith:2014:XB6LZSML3Y2VBXBRXDLBTFHZFL
not attested not anchored not stored refs pending

Numerical treatment of the Boltzmann equation for self-propelled particle systems

Christoph A. Weber, Erwin Frey, Florian Th\"uroff

arxiv:1411.4544 v1 · 2014-11-17 · cond-mat.soft · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XB6LZSML3Y2VBXBRXDLBTFHZFL}

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 2026-05-18T02:35:45.517685Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b87cbcc98bde3550dc31b8d61994f92afafbbb8f16a655eb7312fdbeb993d97c

Aliases

arxiv: 1411.4544 · arxiv_version: 1411.4544v1 · doi: 10.48550/arxiv.1411.4544 · pith_short_12: XB6LZSML3Y2V · pith_short_16: XB6LZSML3Y2VBXBR · pith_short_8: XB6LZSML
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XB6LZSML3Y2VBXBRXDLBTFHZFL \
  | 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: b87cbcc98bde3550dc31b8d61994f92afafbbb8f16a655eb7312fdbeb993d97c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "25cd92a3471593531021c02cfc204dd64577a120fbcc8fc510cf89f26a058328",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2014-11-17T16:49:22Z",
    "title_canon_sha256": "e8ca99d3d8ce052ea5dcecd07efde0cd27069edbad8c76fa9fe2872877a1d47b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4544",
    "kind": "arxiv",
    "version": 1
  }
}