Pith Number

pith:JKKZ724Q

pith:2026:JKKZ724QPEFTPITGGYLJPI3MCH

not attested not anchored not stored refs resolved

Bordisms between 9d type IIB supergravities and commutator widths of duality groups

Camilo las Heras, Ignacio Ruiz

When the commutator width of a duality group diverges, infinitely many duality defects must be included.

arxiv:2605.15276 v1 · 2026-05-14 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKKZ724QPEFTPITGGYLJPI3MCH}

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 propose a refinement of the Swampland Cobordism Conjecture for the first bordism group Ω1(BG) with a G duality bundle. We argue that even if gravitational solitons can realize the monodromies associated with elements of the commutator subgroup of G, if the number of needed commutators is unbounded (in other words, the commutator width of G diverges) then an infinite number of duality defects realizing elements in G need to be included.

C2weakest assumption

The topology of bordisms realizing large monodromies via gravitational solitons becomes arbitrarily complicated, leading to arbitrary suppression of the bordism; this suppression is then interpreted as requiring infinitely many duality defects precisely when the commutator width of G diverges. (Abstract, paragraph on gravitational solitons and the proposal for Ω1(BG).)

C3one line summary

Proposes a refinement of the Swampland Cobordism Conjecture for Ω1(BG) with duality bundle G, where diverging commutator width of G requires infinitely many duality defects to realize monodromies via gravitational solitons.

References

240 extracted · 240 resolved · 97 Pith anchors

[1] A. Font, L. E. Ibanez, D. Lust and F. Quevedo,Strong - weak coupling duality and nonperturbative effects in string theory,Phys. Lett. B249(1990) 35 1990

[2] Strong - weak coupling duality in four-dimensional string theory 1994 · arXiv:hep-th/9402002

[3] Strong-Weak Coupling Duality in Three Dimensional String Theory 1995 · arXiv:hep-th/9408083

[5] String theory dynamics in various dimensions 1995 · arXiv:hep-th/9503124

[6] The eleven-dimensional supermembrane revisited 1995 · arXiv:hep-th/9501068

Cited by

1 paper in Pith

A missing link: Brane networks and the Cobordism Conjecture

Receipt and verification

First computed	2026-05-20T00:00:50.300582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a959feb90790b37a266361697a36c11e0cf489c8322de914569f6a43a429d80

Aliases

arxiv: 2605.15276 · arxiv_version: 2605.15276v1 · doi: 10.48550/arxiv.2605.15276 · pith_short_12: JKKZ724QPEFT · pith_short_16: JKKZ724QPEFTPITG · pith_short_8: JKKZ724Q

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/JKKZ724QPEFTPITGGYLJPI3MCH \
  | 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: 4a959feb90790b37a266361697a36c11e0cf489c8322de914569f6a43a429d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c9cd45f9a7fd55437a77d612f25d78be9d6711db3b32080d52d262440fcaf42",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-14T18:00:03Z",
    "title_canon_sha256": "c2f4391ce4cee7cd21fa72ed96dcafbcbc2d921c6803a61ff1a8c79021422ba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15276",
    "kind": "arxiv",
    "version": 1
  }
}