Pith Number

pith:2AYCWK26

pith:2025:2AYCWK26MG52JAZ3IPZEJF7BM4

not attested not anchored not stored refs resolved

Generalized Gross-Pitaevskii Equation for 2D Bosons with Attractive Interactions

Artem G. Volosniev, Fabian Brauneis, Hans-Werner Hammer, Micha{\l} Suchorowski, Micha{\l} Tomza

A generalized Gross-Pitaevskii equation with logarithmic density dependence captures the quantum anomaly in two-dimensional attractive Bose systems.

arxiv:2511.10115 v3 · 2025-11-13 · cond-mat.quant-gas · nlin.PS · nucl-th · physics.atm-clus

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\usepackage{pith}
\pithnumber{2AYCWK26MG52JAZ3IPZEJF7BM4}

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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

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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.

Claims

C1strongest claim

Its defining feature is the logarithmic density dependence of the coupling constant, which breaks the scale invariance inherent in the standard mean-field equations.

C2weakest assumption

That the specific logarithmic form of the density-dependent coupling accurately encodes the quantum anomaly without additional beyond-mean-field corrections or higher-order terms.

C3one line summary

A generalized Gross-Pitaevskii equation with logarithmic density dependence in the coupling constant is introduced to study quantum anomalies and dynamics in 2D attractive Bose systems.

References

60 extracted · 60 resolved · 2 Pith anchors

[1] R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett.13, 479–482 (1964) 1964

[2] V. E. Zakharov, Sov. Phys. JETP35, 908 (1972) 1972

[3] V. E. Zakharov and E. A. Kuznetsov, Zh. Eksp. Teor. Fiz.91, 1310 (1986) 1986

[4] L. Pitaevskii, Phys. Lett. A221, 14–18 (1996) 1996

[5] L. P. Pitaevskii and A. Rosch, Phys. Rev. A55, R853–R856 (1997) 1997

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:45:12.214912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0302b2b5e61bba4833b43f24497e16710c4193247948cf6bb2e4606e0bbcd14

Aliases

arxiv: 2511.10115 · arxiv_version: 2511.10115v3 · doi: 10.48550/arxiv.2511.10115 · pith_short_12: 2AYCWK26MG52 · pith_short_16: 2AYCWK26MG52JAZ3 · pith_short_8: 2AYCWK26

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/2AYCWK26MG52JAZ3IPZEJF7BM4 \
  | 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: d0302b2b5e61bba4833b43f24497e16710c4193247948cf6bb2e4606e0bbcd14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d93c2b4b0fd30273de9387a641affc046a529da50e33680df27ec46659318b7",
    "cross_cats_sorted": [
      "nlin.PS",
      "nucl-th",
      "physics.atm-clus"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2025-11-13T09:19:15Z",
    "title_canon_sha256": "e19ae66ad7e94ecd737d73144064d9c6809009ce08db4c39b114244c18e280fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.10115",
    "kind": "arxiv",
    "version": 3
  }
}