Pith Number

pith:QIHHOT4D

pith:2024:QIHHOT4D463YRAP36HVDIWG2C4

not attested not anchored not stored refs pending

Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature

Arnaud Triay, Benjamin Schlein, Christian Hainzl, Florian Haberberger

arxiv:2405.03378 v1 · 2024-05-06 · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIHHOT4D463YRAP36HVDIWG2C4}

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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

3 papers in Pith

Ground State Energy of Dilute Fermi Gases in 1D

Kinetic localization via Poincar\'e-type inequalities and applications to the condensation of Bose gases

A second order upper bound to the free energy of the two dimensional Bose gas

Receipt and verification

First computed	2026-07-05T08:16:02.221377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

820e774f83e7b78881fbf1ea3458da171934dee94bd9835c9b793ecb291effbe

Aliases

arxiv: 2405.03378 · arxiv_version: 2405.03378v1 · doi: 10.48550/arxiv.2405.03378 · pith_short_12: QIHHOT4D463Y · pith_short_16: QIHHOT4D463YRAP3 · pith_short_8: QIHHOT4D

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/QIHHOT4D463YRAP36HVDIWG2C4 \
  | 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: 820e774f83e7b78881fbf1ea3458da171934dee94bd9835c9b793ecb291effbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8299eab964a49e5e26ec2ca42afe9b0aa8e202aa7a44293a807aeac5532385",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-05-06T11:32:39Z",
    "title_canon_sha256": "ca801fa57fc37c15f693f3362504e4e29fdf65583ac43e28ff40b22bfbf3808c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.03378",
    "kind": "arxiv",
    "version": 1
  }
}