{"arxiv_id":"hep-th/9602070","incoming":{"papers":83,"sentences":114,"groups":[{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1811.11838","title":"Heterotic M-Theory from the Clockwork Perspective","url":"/paper/1811.11838","section":"Hořava-Witten model (minimal heterotic M-theory)","sentence":"$V_0$ is equal to the CY volume at the observable brane at $x^11=0$ so it is related to the value of the GUT gauge coupling, namely [ref] $V_0M_11^6=(4π)^2/3α_GUT^-1≈135$.","intent_p":0.84,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":2,"quotes":[{"arxiv_id":"2605.11068","title":"Towards the Realization of the Dark Dimension Scenario in Ho\\v{r}ava-Witten Theory","url":"/paper/2605.11068","section":"Realizing the Dark Dimension Scenario","sentence":"In contrast, in GUT realizations of HW theory [ref] one solves the three relations M_GUT∼M_*/ r_CY , M_pl^2∼M_*^2 r_11 r_CY^6 , 1/α_GUT∼r_CY^6 , leading to $M_GUT∼M_*∼10^16 GeV$ and a much smaller value $r_11∼10^2-3$.","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":27,"sentences":32,"quotes":[{"arxiv_id":"2510.25832","title":"The dark dimension, proton decay, and the length of the M-theory interval","url":"/paper/2510.25832","section":"Introduction","sentence":"On the other hand, the growth of the Hořava-Witten interval [ref] lowers the 5d and 11d Planck masses, related by $M_Pl,5=(V_XM_Pl,11^ 6)^1/3M_Pl,11$, where $V_X$ is the volume of the Calabi-Yau.","intent_p":0.8,"contests_p":null},{"arxiv_id":"0708.4414","title":"Large Gravitational Waves and Lyth Bound in Multi Brane Inflation","url":"/paper/0708.4414","section":"Multi M5-Brane Inflation","sentence":"The $N=1$ supersymmetric compactification of heterotic M-theory down to four dimensions takes place on a seven-manifold $×$, built out of a Calabi-Yau threefold $$ which is fibered, via a warp-factor, along the orbifold interval $$ [ref] , [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2006.00012","title":"Super-exceptional embedding construction of the heterotic M5: Emergence of SU(2)-flavor sector","url":"/paper/2006.00012","section":"Introduction","sentence":"This is the lift to heterotic M-theory (Hořava-Witten theory, see [ref] [ref] [ref] [ref] [ref] ) of the NS5-brane of heterotic string theory [ref] , and dually of the D4-brane of Type I' string theory.","intent_p":0.95,"contests_p":null},{"arxiv_id":"1301.6767","title":"Supersymmetric Hidden Sectors for Heterotic Standard Models","url":"/paper/1301.6767","section":"Introduction","sentence":"This can be reduced to an $N=1$ supersymmetric theory in four dimensions by appropriately compactifying on a smooth Calabi-Yau threefold supporting gauge fields satisfying the hermitian Yang-Mills equations [ref] with the five-branes wrapped on holomorphic curves [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"2008.08544","title":"Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation","url":"/paper/2008.08544","section":"Introduction and overview","sentence":"One motivation for this proposal [ref] comes from heterotic M-theory (Hořava-Witten theory [ref] [ref] [ref] [ref] [ref] [ref] , the conjectural non-perturbative completion of heterotic string theory [ref] [ref] [ref] ).","intent_p":0.8,"contests_p":null}]}],"unlabelled_sentences":79},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":{"arxiv_id":"hep-th/9602070","kind":"model","paper_version":2,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T18:25:39+00:00","loaded_at":"2026-10-28T01:03:09.846842+00:00","evidence":"some","account":[],"groups":[{"kind":"comparison","label":"Compares with it","papers":1,"entries":[{"p":0.91,"quote":{"text":"Before we proceed, let us compare this to a GUT realization in HW theory [ref] .","citing":"2605.11068","section":"Realizing the Dark Dimension Scenario"},"citing":[{"self":false,"year":2026,"title":"Towards the Realization of the Dark Dimension Scenario in Ho\\v{r}ava-Witten Theory","arxiv_id":"2605.11068"}],"verified":true,"paraphrase":"Compared its own result to a GUT realization in HW theory from this paper."}],"papers_all":1,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"data_used":1,"comparison":1},"dropped":{"relied_on":0,"unknown_ids":0,"account_lines":0,"contest_vetoed":0,"below_threshold":0,"contest_drawback":0,"contest_without_basis":0,"contest_not_one_sentence":0,"contest_on_group_citation":0},"papers_read":15,"self_papers":0,"citing_papers":87,"sentences_read":19,"citing_sentences":116,"unambiguous_read":19,"typed_independent":2,"independent_papers":87,"by_kind_independent":{"data_used":1,"comparison":1}},"input_sha256":"76b30327fdce03aefd9dd7abfb699b10bbd408f3105df422b0da85ae424ad8ef","method":"For a paper with five or more citing arXiv papers, Pith selected up to 40 citing sentences its citation classifier typed, read those whose citation markers point at this paper alone, and wrote one paraphrase for each later paper in each group, each resting on one sentence. A later paper is listed under a label only when the classifier gives one of its sentences that label at intent probability 0.8 or more (0.95 for support), Pith's reading of the sentence finds that the citing paper itself did it, and a second check of the paraphrase against the sentence passes. The section lists uses only: building on the paper, using its method, tool, data or values, comparing with it and citing it as support. It does not list criticism or disagreement, so their absence says nothing about how the paper has been received. Code counted the papers, wrote the summary from the listed entries, set the evidence level and linked each entry to its citing paper. Quotes are copied from the citing sentence and shown only when the citing paper's licence is CC BY, CC BY-SA or CC0; otherwise the paraphrase is shown. Papers that share an author with this one are listed apart. A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"1 later paper by other authors is listed below: 1 compared its own results with it."},"_links":{"html":"https://pith.science/paper/hep-th/9602070"}}