Pith Number

pith:GVFECXWC

pith:2026:GVFECXWCB5RWD6GWJN5TMLTPVC

not attested not anchored not stored refs resolved

Bousfield Localizations on the Nonmodular Lattice $N_5$

Constanze Roitzheim, Sof\'ia Mart\'inez Alberga

The nonmodular lattice N5 admits exactly those model category structures that arise from transfer systems, all connected by Bousfield localizations.

arxiv:2605.12744 v1 · 2026-05-12 · math.AT

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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

We provide a complete description of the model category structures on the nonmodular lattice N5.

C2weakest assumption

That transfer systems from equivariant homotopy theory suffice to enumerate and relate all model structures on this specific lattice.

C3one line summary

All model structures on the lattice N5 are classified and related via Bousfield localizations using transfer systems.

References

28 extracted · 28 resolved · 0 Pith anchors

[1] Barnes, D. and Roitzheim, C. , TITLE =. 2020 , PAGES =. doi:10.1017/9781108636575 , URL = 2020 · doi:10.1017/9781108636575

[2] Mazur, K. and Osorno, A.M. and Roitzheim, C. and Santhanam, R. and Van Niel, D. and Zapata Castro, V. , TITLE =. Topology and its Applications , YEAR =

[3] Mazur, K. and Osorno, A.M. and Roitzheim, C. and Santhanam, R. and Van Niel, D. and Zapata Castro, V. , TITLE =. arXiv preprint , YEAR =

[4] Carnero Bravo, A. and Goyal, S. and Mart. Left and right Bousfield Localization on Lattices , JOURNAL =. 2025 , PAGES = 2025

[5] Hirschhorn,Model categories and their localizations, Mathematical Surveys and Monographs, vol 2003 · doi:10.1090/surv/099

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:49.048671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

354a415ec20f6361f8d64b7b362e6fa8b63172615949ceb8e65c7c2a7aa8444e

Aliases

arxiv: 2605.12744 · arxiv_version: 2605.12744v1 · doi: 10.48550/arxiv.2605.12744 · pith_short_12: GVFECXWCB5RW · pith_short_16: GVFECXWCB5RWD6GW · pith_short_8: GVFECXWC

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/GVFECXWCB5RWD6GWJN5TMLTPVC \
  | 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: 354a415ec20f6361f8d64b7b362e6fa8b63172615949ceb8e65c7c2a7aa8444e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a4b2ee429b82eed6c350598ff9cfa30ccde453ba999c8847d3d84c94f044f9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-05-12T20:48:18Z",
    "title_canon_sha256": "19b55c2ec920eb4fce03c926cf816edbcf7c4ac44a56981300c0a5146700da73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12744",
    "kind": "arxiv",
    "version": 1
  }
}