Pith Number

pith:TN323PN6

pith:2025:TN323PN6BWTLB6RN7B3OXALTVQ

not attested not anchored not stored refs resolved

Husain-Kucha\v{r} model as the Carrollian limit of the Holst term

Aitor Vicente-Cano, Eduardo J.S. Villase\~nor, J. Fernando Barbero G., Juan Margalef-Bentabol

The Husain-Kuchař model arises as the Carrollian limit of the Holst term when gravity is formulated with coframes and spin connections.

arxiv:2508.15373 v1 · 2025-08-21 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TN323PN6BWTLB6RN7B3OXALTVQ}

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.

Claims

C1strongest claim

We show how the Husain-Kuchař model can be understood as a Carrollian limit of the Holst term in the context of background-independent field theories described in terms of coframes and spin connections.

C2weakest assumption

The Carrollian limit is well-defined for the Holst term in the coframe and spin connection formulation such that it exactly reproduces the Husain-Kuchař model without requiring extra field constraints or modifications (abstract statement of the limit procedure).

C3one line summary

Husain-Kuchař model is obtained as the Carrollian limit of the Holst term in coframe-spin connection theories, with Carrollian symmetry analyzed in the Hamiltonian formulation.

References

21 extracted · 21 resolved · 0 Pith anchors

[1] H. Bacry and J. Levy-Leblond, Possible kinematics, J. Math. Phys. 9 (1968) 1605 1968

[2] L´ evy-Leblond,Une nouvelle limite non-relativiste du groupe de Poincar´ e, Annales de l’I.H.P 1965

[3] N. D. Sen Gupta, On an analogue of the Galilei group , Nuovo Cim. A 44 (1966) 512 1966

[4] C. Duval, G. W. Gibbons, and P.A. Horvathy, Conformal Carroll groups and BMS symmetry, Class. Quant. Grav. 31 (2014) 092001 2014

[5] C. Duval, G. W. Gibbons, P. A. Horvathy, and P. M. Zhang, Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time , Class. Quant. Grav. 31 (2014) 085016 2014

Receipt and verification

First computed	2026-05-20T01:04:56.793615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b77adbdbe0da6b0fa2df876eb8173ac34a3ef9624fc5d4578eddea1979cbbfe

Aliases

arxiv: 2508.15373 · arxiv_version: 2508.15373v1 · doi: 10.48550/arxiv.2508.15373 · pith_short_12: TN323PN6BWTL · pith_short_16: TN323PN6BWTLB6RN · pith_short_8: TN323PN6

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/TN323PN6BWTLB6RN7B3OXALTVQ \
  | 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: 9b77adbdbe0da6b0fa2df876eb8173ac34a3ef9624fc5d4578eddea1979cbbfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19048c286aa1408ae4f31f89783031471d0b070cdc0a8a748e6ee25fe8330915",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-08-21T09:08:42Z",
    "title_canon_sha256": "d578e5df03e089ecf038600d22df8a43929c9d2bde7114864d14589f890ef205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15373",
    "kind": "arxiv",
    "version": 1
  }
}