Pith. sign in
Pith Number

pith:EYILTGV6

pith:2021:EYILTGV65BNNFMUODR7INWD7TK
not attested not anchored not stored refs pending

Quantum Generalized Hydrodynamics of the Tonks-Girardeau gas: density fluctuations and entanglement entropy

Benjamin Doyon, J\'er\^ome Dubail, Paola Ruggiero, Pasquale Calabrese

arxiv:2107.05655 v2 · 2021-07-12 · cond-mat.quant-gas · cond-mat.stat-mech · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EYILTGV65BNNFMUODR7INWD7TK}

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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.
Receipt and verification
First computed 2026-07-05T03:42:02.414597Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2610b99abee85ad2b28e1c7e86d87f9a99a94305f4ccfb1fecad0ef8010e0861

Aliases

arxiv: 2107.05655 · arxiv_version: 2107.05655v2 · doi: 10.48550/arxiv.2107.05655 · pith_short_12: EYILTGV65BNN · pith_short_16: EYILTGV65BNNFMUO · pith_short_8: EYILTGV6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EYILTGV65BNNFMUODR7INWD7TK \
  | 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: 2610b99abee85ad2b28e1c7e86d87f9a99a94305f4ccfb1fecad0ef8010e0861
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "adab318a652f34703f77f6f7f32e79d813e14c2185067e67cf4404fbf010ec4e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2021-07-12T18:00:09Z",
    "title_canon_sha256": "3b40a9952b60525ca6769ba464b4597314f7dcc5b1f2dcb8f3457c1142a74045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05655",
    "kind": "arxiv",
    "version": 2
  }
}